TN State Board 10th Maths half yearly question and answers - by QB Admin - View & Read

10th Maths Model Question Paper 2023 - by QB Admin - View & Read

10th Standard Maths English Medium - Mensuration 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
A shuttle cock used for playing badminton has the shape of a frustum of a cone is mounted on a hemisphere. The diameters of the frustum are 5 cm and 2 cm. The height of the entire shuttle cock is 7 cm. Find its external surface area.
2)
What is the ratio of the volume of a cylinder, a cone, and a sphere. If each has the same diameter and same height?
3)
Find the number of coins, 1.5 cm is diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
4)
A spherical ball of iron has been melted and made into small balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?
5)
A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm find the total surface area of the article.

10th Standard Maths English Medium - Mensuration 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
A funnel consists of a frustum of a cone attached to a cylindrical portion 12 cm long attached at the bottom. If the total height be 20 cm, diameter of the cylindrical portion be 12 cm and the diameter of the top of the funnel be 24 cm. Find the outer surface area of the funnel.
2)
A hemispherical section is cut out from one face of a cubical block such that the diameter l of the hemisphere is equal to side length of the cube. Determine the surface area of the remaining solid.
3)
A solid consisting of a right circular cone of height 12 cm and radius 6 cm standing on a hemisphere of radius 6 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of the water displaced out of the cylinder, if the radius of the cylinder is 6 cm and height is 18 cm.
4)
As shown in figure a cubical block of side 7 cm is surmounted by a hemisphere. Find the surface area of the solid.
5)
A right circular cylinder just enclose a sphere of radius r units. Calculate
(i) the surface area of the sphere
(ii) the curved surface area of the cylinder
(iii) the ratio of the areas obtained in (i) and (ii).

10th Standard Maths English Medium - Mensuration 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
A factory manufactures 1,20,000 pencils daily The pencils are cylindric in shape, each of length 25 cm and circumference 1.5 cm. Determine the cost of colouring the curved surface of the pencils manufactured in one day at Rs 0.05 per cm².
2)
There are two cones. The curved surface area of one is twice that of the other. The slant height of the later is twice that of the former. Find the ratio of their radii.
3)
The diameter of a sphere is decreased by 25% By what percent does its curved surface area decrease?
4)
A solid cylinder has total surface area of 462 sq. cm. Its curved surface area is One-third its total surface area. Find the volume of cylinder
5)
A cone of height 24 cm has a curved surface area 550 cm². Find its volume

10th Standard Maths English Medium - Mensuration 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If the radii of the circular ends of a conical bucket which is 45 cm high are 28 cm and 7 cm, find the capacity of the bucket. (Use π = \(\frac{22}{7}\))
2)
Find the depth of a cylindrical tank of radius 28 m, if its capacity is equal to that of a rectangular tank of size 28 m x 16 m x 11 m.
3)
The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the diameter of the base of the cylinder
4)
In the hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system
5)
Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m

10th Standard Maths English Medium - Mensuration 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
A cylindrical drum has a height of 20 cm and base radius of 14 cm. Find its curved surface area and the total surface area.
2)
The curved surface area of a right circular cylinder of height 14 cm is 88 cm² . Find the diameter of the cylinder.
3)
A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?
4)
If one litre of paint covers 10 m², how many litres of paint is required to paint the internal and external surface areas of a cylindrical tunnel whose thickness is 2 m, internal radius is 6 m and height is 25 m.
5)
The radius of a conical tent is 7 m and the height is 24 m. Calculate the length of the canvas used to make the tent if the width of the rectangular canvas is 4 m?

10th Standard Maths English Medium - Mensuration 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
The radius of base of a cone 5 cm and height is 12 cm. The slant height of the cone ___________
2)
If S₁ denotes the total surface area at a sphere of radius ૪ and S₂ denotes the total surface area of a cylinder of base radius ૪ and height 2r, then ___________
3)
A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?
4)
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius cm?
5)
The volume of a frustum if a cone of height L and ends-radio and r₁and r₂ is ___________

10th Standard Maths English Medium - Mensuration 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
tan \(\theta \) cosec²\(\theta \) - tan\(\theta \) is equal to
3)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
4)
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x²- \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
5)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to

10th Standard Maths English Medium - Trigonometry 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
\(\text { If } \tan ^{2} \theta=1-a^{2} \text { prove that }\sec \theta+\tan ^{3} \theta \operatorname{cosec} \theta=\left(2-a^{2}\right) \frac{3}{2}\)
2)
\(\text { If } a \cos \theta+b \sin \theta=m \ \text { and } a \sin \theta-b \cos \theta=n \text {. }\text { prove that } a^{2}+b^{2}=m^{2}+n^{2}\)
3)
\(\text { If } \operatorname{cosec} \theta-\sin \theta=m \text { and } \sec \theta-\cos \theta=\mathbf{n},\text { prove that }\left(m^{2} n\right)^{\frac{2}{3}}+\left(m n^{2}\right)^{\frac{2}{3}}=1 \text {. }\)
4)
\(\text { If } \tan \mathrm{A}=\mathrm{n} \tan \mathrm{B} \text { and } \sin \mathrm{A}=\mathrm{m} \sin \mathrm{B} \text {, Prove }\text { that } \cos ^{2} \mathrm{~A}=\frac{m^{2}-1}{n^{2}-1} \text {. }\)
5)
A tree is broken by the wind. the top struck the ground at an angle of 30^o and at a distance of 30 m from the root. Find the whole height of the tree.

10th Standard Maths English Medium - Trigonometry 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Prove that sin² Acos²B + cos²Asin²B + cos² Acos²B + sin²Asin² B=1
2)
if cos\(\theta \) + sin\(\theta \) =\(\sqrt { 2 } \) cos \(\theta \), then prove that cos\(\theta \) - sin\(\theta \) =\(\sqrt { 2 } \) sin\(\theta \)
3)
prove that (cosec\(\theta \) - sin\(\theta \)) (sec\(\theta \) - cos\(\theta \)) (tan\(\theta \) + cot\(\theta \)) = 1
4)
prove that \(\frac { sinA }{ 1+cosA } +\frac { sinA }{ 1-cosA } =2cosecA.\)
5)
if cosec\(\theta \) + cot\(\theta \) = p, then prove that cos\(\theta \) = \(\frac { { p }^{ 2 }-1 }{ { p }^{ 2 }+1 } \)

10th Standard Maths English Medium - Trigonometry 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If sin (A - B) = \(\frac12\), cos (A + B) = \(\frac12\), 0^o < A + ≤ 90°, A > B, find A and B.
2)
Express the ratios cos A, tan A and sec A in terms of sin A.
3)
Evaluate \(\frac { tan{ 65 }^{ o } }{ tan{ 25 }^{ o } } \)
4)
If sin 3A = cos (A - 26°), where 3A is an acute angle, find the value at A.
5)
Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

10th Standard Maths English Medium - Trigonometry 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Given tan A \(\frac { 4 }{ 3 } \) find the other trigonometric ratios of the angle A.
2)
Prove that \(\frac { sin\theta -cos\theta +1 }{ sin\theta +cos\theta -1 } =\frac { 1 }{ sec\theta -tan\theta } \) using the identity sec²θ= 1+ tan²θ.
3)
Prove that sec A (1 - sin A) (sec A + tan A) = 1.
4)
In a right triangle ABC, right-angled at B, if tan A = 1, then verify that 2 sin A cos A = 1.

10th Standard Maths English Medium - Trigonometry 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Prove that tan²\(\theta \)-sin²\(\theta \) = tan²\(\theta \) sin²\(\theta \)
2)
prove that \(\frac { sinA }{ 1+cosA } =\frac { 1-cosA }{ sinA } \)
3)
prove that 1+\(\frac { co{ t }^{ 2 }\theta }{ 1+cosec\theta } \) = cosec\(\theta \)
4)
prove that sec\(\theta \) - cos\(\theta \) = tan \(\theta \) sin\(\theta \)
5)
prove that \(\sqrt { \frac { 1+cos\theta }{ 1-cos\theta } } \) = cosec \(\theta \) + cot\(\theta \)

10th Standard Maths English Medium - Trigonometry 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Given that sin ∝ = \(\frac{1}{2}\) and cos β = \(\frac{1}{2}\), then the value of (∝ + β) is ___________
2)
The value of the expression \(\left[ \frac { { sin }^{ 2 }{ 22 }^{ o }+{ sin }^{ 2 }{ 68 }^{ o } }{ { cos }^{ 2 }{ 22 }^{ 0 }+{ cos }^{ 2 }{ 68 }^{ 0 } } +{ sin }^{ 2 }{ 63 }^{ o+ }{ cos }63^{ 0 }{ sin27 }^{ 0 } \right] \)is ___________
3)
If 4 tan θ = 3, then \(\left( \frac { 4sin\theta -cos\theta }{ 4sin\theta +cos\theta } \right) \) is equal to ___________
4)
If sin θ - cos θ = 0, then the value of (sin⁴θ + cos⁴θ) is ___________
5)
Sin(45^o+ θ ) - cos(45^o- θ) is equal to ___________

10th Standard Maths English Medium - Trigonometry 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
tan \(\theta \) cosec²\(\theta \) - tan\(\theta \) is equal to
3)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
4)
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x²- \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
5)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to

10th Standard Maths English Medium - Geometry 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
In the figure, if \(\triangle A B E \cong \triangle \text { ACD, show that }\triangle A D E \sim \triangle A B C\)
2)
Prove that the area of an equilateral triangle described on one side of a square in equal to half the area of the equilateral triangle described on one of its diagonals.
3)
Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are \(1 \frac{1}{2}\) times the corresponding sides of the isosceles triangle.
4)
O is any point inside a triangle \(\Delta\)ABC The bisector of \(\angle A O B, \angle B O C, \angle C O A\) meet the sides AB, BC and CA in point D, E and F respectively. Show that AD x BE x CF = DB x EC x FA.
5)
In AD is the median of \(\Delta\)ABC The bisector of \(\angle\)ADB and \(\angle\)ADC meet AB and AC in E and F respectively. Prove that EF || BC

10th Standard Maths English Medium - Geometry 8 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac{3}{5}\) of the corresponding sides of the triangle PQR (scale factor \(\frac { 3 }{ 5 } <1\))
2)
Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 7 }{ 4 } \) of the corresponding sides of the triangle PQR (scale factor \(\frac { 7 }{ 4 } \)>1)
3)
Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 2 }{ 3 } \) of the corresponding sides of the triangle PQR (scale factor \(\frac { 2 }{ 3 } <1\)).
4)
Construct a triangle similar to a given triangle LMN with its sides equal to \(\frac { 4 }{ 5 } \) of the corresponding sides of the triangle LMN (scale factor \(\frac { 4 }{ 5 }<1\)).
5)
Construct a triangle similar to a given triangle ABC with its sides equal to \(\frac { 6 }{ 5 } \) of the corresponding sides of the triangle ABC (scale factor \(\frac { 6 }{ 5 } >1\)).

10th Standard Maths English Medium - Geometry 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
A boy of height 90cm is walking away from the base of a lamp post at a speed of 1.2m/sec. If the lamppost is 3.6m above the ground, find the length of his shadow cast after 4 seconds.
2)
Two poles of height ‘a’ metres and ‘b’ metres are ‘p’ metres apart. Prove that the height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is given by \(\frac { ab }{ a+b } \) meters
3)
A girl looks the reflection of the top of the lamp post on the mirror which is 6.6 m away from the foot of the lamp post. The girl whose height is 12.5 m is standing 2.5 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamp post are in a same line, find the height of the lamp post.
4)
If \(\triangle\)ABC~\(\triangle\)DEF such that area of \(\triangle\)ABC is 9cm² and the area of \(\triangle\)DEF is 16cm² and BC = 2.1 cm. Find the length of EF
5)
Two vertical poles of heights 6 m and 3 m are erected above a horizontal ground AC. Find the value of y.

10th Standard Maths English Medium - Geometry 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
In \(AD\bot BC\) prove that AB²+ CD² = BD²+ AC².
2)
BL and CM are medians of a triangle ABC right angled at A.
Prove that 4(BL²+ CM²) = 5BC².
3)
Prove that in a right triangle, the square of 8. the hypotenuse is equal to the sum of the squares of the others two sides.
4)
A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.
5)
In figure 0 is any point inside a rectangle ABCD. Prove that OB² + OD²= OA²+ OC²

10th Standard Maths English Medium - Geometry 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
In \(\triangle\)ABC, D and E are points on the sides AB and AC respectively. For each of the following cases show that DE || BC AB = 5.6 cm, AD = 1.4 cm, AC = 7.2 cm and AE = 1.8 cm.
2)
In figure if PQ || RS Prove that \(\Delta POQ\sim \Delta SOQ\)
3)
In figure the line segment XY is parallel to side AC of \(\Delta ABC\) and it divides the triangle into two parts of equal areas. Find the ratio \(\cfrac { AX }{ AB } \)
4)
The areas of two similar triangles \(\Delta\)ABC and \(\Delta\)DEF are 81 cm² and 100 cm² respectively. If EF = 5 cm, then find BC.
5)
\(\text { The area of } \triangle P Q R=64 \mathrm{~m}^{2} \text {. Find the area of }\Delta L M N \text { if } \frac{P Q}{L M}=\frac{4}{5} \text { and } \Delta P Q R \sim \Delta L M N\)

10th Standard Maths English Medium - Geometry 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Show that \(\triangle\) PST~\(\triangle\) PQR
2)
Is \(\triangle\)ABC ~ \(\triangle\)PQR?
3)
Observe Fig and find \(\angle\)P
4)
\(\angle A=\angle CED\) prove that \(\Delta\ CAB \sim \Delta CED\) Also find the value of x.
5)
QA and PB are perpendiculars to AB. If AO = 10 cm, BO = 6 cm and PB = 9 cm. Find AQ.

10th Standard Maths English Medium - Geometry 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________
2)
I the given figure DE||AC which of the following is true.
3)
S and T are points on sides PQ and PR respectively of \(\Delta PQR\) If PS = 3cm, AQ = 6 cm, PT = 5 cm, and TR = 10 cm and then QR
4)
In the given figure DE||BC:BD = x - 3, BA = 2x,CE = x- 2, and AC = 2x + 3, Find the value of x.
5)
The ratio of the areas of two similar triangles is equal to ____________

10th Standard Maths English Medium - Geometry 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
3)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is
4)
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is
5)
The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

10th Standard Maths English Medium - Coordinate Geometry 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
A mobile phone is put to use when the battery power is 100%. The percent of battery power ‘y’ (in decimal) remaining after using the mobile phone for x hours is assumed as y = − 0.25 x + 1

Draw a graph of the equation.
2)
Find the coordinates at the points of trisection (i.e. points dividing in three equal parts) of the line segment joining the points A(2, -2) and B(-7, 4).
3)
If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.
4)
Find the area of a triangle vertices are(1, -1), (-4, 6) and (-3, -5).
5)
Find a relation between x and y if the points (x, y) (1, 2) and (7, 0) are collinear.

10th Standard Maths English Medium - Coordinate Geometry 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Find the area of the triangle whose vertices are (-3, 5) , (5, 6) and (5, - 2)
2)
Show that the points P(-1, 5, 3), Q(6, -2) , R(-3, 4) are collinear.
3)
If the area of the triangle formed by the vertices A(-1, 2), B(k, -2) and C(7, 4) (taken in order) is 22 sq. units, find the value of k.
4)
If the points P(-1, -4), Q (b, c) and R(5, -1) are collinear and if 2b + c = 4, then find the values of b and c.
5)
The floor of a hall is covered with identical tiles which are in the shapes of triangles. One such triangle has the vertices at (-3, 2), (-1, -1) and (1, 2). If the floor of the hall is completely covered by 110 tiles, find the area of the floor.

10th Standard Maths English Medium - Coordinate Geometry 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If the points A (0, 1), B (x, y), C (5, - 2) and D (2, - 1) form a parallelogram, then find the values of x, y.
2)
The mid points of the sides of a triangle are (2, 1), (- 5, 7) and (- 5, - 5). Find the equation of the sides.
3)
Find the equation to the straight line which passes through the points (3, 4) and have intercepts on the axes.
(i) equal in magnitude but opposite in sign
(ii) such that their sum is 14.

10th Standard Maths English Medium - Coordinate Geometry 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5).
2)
Show that the points (1, 7), (4, 2), (-1,-1) and (-4,4) are the vertices of a square.
3)
If A (-5, 7), B (-4, -5), C (-1, -6) and D (4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
4)
Find the area of triangle whose vertices are (1 , 1), (2,3) and (4, 5).
5)
Find the area of triangle ABC, where A (0, 0), B(3, 4) and C (0, 3).

10th Standard Maths English Medium - Coordinate Geometry 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Find the area of the triangle formed by the points (1, –1), (–4, 6) and (–3, –5)
2)
Determine whether the sets of points are collinear? \((-\frac12 ,3)\), (- 5, 6) and (-8, 8)
3)
Vertices of given triangles are taken in order and their areas are provided aside. In each case, find the value of ‘p’?

S. No Vertices Area (sq. units)

(i) (0, 0), (p, 8), (6, 2) 20

(ii) (p, p), (5, 6), (5, -2) 32
4)
The line r passes through the points (–2, 2) and (5, 8) and the line s passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to s ?
5)
The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?

10th Standard Maths English Medium - Coordinate Geometry 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Find the ratio in which the line segment joining the points (-3, 10) and (6,-8) is internally divided by (-1, 6) ____________
2)
If the points (0, 0), (a, 0) and (0, b) are collinear, then ____________
3)
If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________
4)
The area of triangle formed by the points (a, b+c), (b, c+a) and (c, a+b) is ____________
5)
The four vertices of a quadrilateral are (1, 2), (5, -6), (7, -4) and (k, -2) taken in order. If the area of quadrilateral is zero then find the value of k.

10th Standard Maths English Medium - Coordinate Geometry 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is
2)
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is
3)
The straight line given by the equation x = 11 is
4)
If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is
5)
The point of intersection of 3x − y = 4 and x + y = 8 is

10th Standard Maths English Medium - Algebra 8 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Discuss the nature of solutions of the following quadratic equations.
x² + x - 12 = 0
2)
Draw the graph of y = 2x² and hence solve 2x² - x - 6 = 0
3)
Draw the graph of y = x² + 4x + 3 and hence find the roots of x² + x + 1 = 0
4)
Draw the graph of y = x² + x - 2 and hence solve x² + x - 2 = 0
5)
Draw the graph of y = x² - 4 and hence solve x² - x - 12 = 0

10th Standard Maths English Medium - Algebra 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
\(\text { Solve } 4 x-2 y+3 z=1, x+3 y-4 z=-7,3 x+y+2 z=5\)
2)
\(\text { Solve } x=3 z-5,2 x+2 z=y+16,7 x-5 z=3 y+19\)
3)
Sum of the areas of two squares is 468 m². If the difference of their perimeters is 24 m, find the sides of the two squares
4)
Two water taps together can fill a tank in \(9 \frac{3}{8}\) hours. The tap of lager diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
5)
A plane left 30 minutes later than the scheduled time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed.

10th Standard Maths English Medium - Algebra 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
The sum of two numbers is 15. If the sum of their reciprocals is \(\frac{3}{10}\), find the numbers.
2)
A two digit number is such that the product of its digits is 12. When 36 is added to the number the digits interchange their places. Find the number.
3)
Seven years ago, Varun's age was five times the square of Swati's age. Three years hence Swati's age will be two fifth of Varun's age. Find their present ages.
4)
A chess board contains 64 equal squares and the area of each square is 6.25 cm², A border round the board is 2 cm wide.
5)
Find two consecutive natural numbers whose product is 20.

10th Standard Maths English Medium - Algebra 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Solve \(\frac {1}{3}\) (x + y - 5) = y - z = 2x - 11 = 9 - (x + 2z).
2)
One hundred and fifty students are admitted to a school. They are distributed over three sections A, B and C. If 6 students are shifted from section A to section C, the sections will have equal number of students. If 4 times of students of section C exceeds the number of students of section A by the number of students in section B, find the number of students in the three sections.
3)
Find the GCD of the following by division algorithm 2x⁴ + 13x³ + 27x²+23x + 7, x³ + 3x² + 3x + 1, x² + 2x + 1
4)
Reduce the given Rational expressions to its lowest form
\(\frac { { x }^{ 3a }-8 }{ { x }^{ 2a }+2{ x }^{ a }+4 } \)
5)
Simplify \(\frac { \frac { 1 }{ p } +\frac { 1 }{ q+r } }{ \frac { 1 }{ p } -\frac { 1 }{ q+r } } \times \left( 1+\frac { { q }^{ 2 }+{ r }^{ 2 }-{ p }^{ 2 } }{ 2qr } \right) \)

10th Standard Maths English Medium - Algebra 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Solve the following system of linear equations in three variables.
x + y + z = 6; 2x + 3y + 4z = 20;
3x + 2y + 5z = 22
2)
Using quadratic formula solve the following equations.
p²x² + (P² -q²) X - q² = 0
3)
Using quadratic formula solve the following equations.9x²-9(a+b)x+(2a²+5ab+2b²)=0
4)
Find the values of k for which the following equation has equal roots.
(k - 12)r + 2(k - 12)x + 2 = 0
5)
Prove that the equation x²(a²+b²)+2x(ac+bd)+(c²+ d²) = 0 has no real root if ad≠bc.

10th Standard Maths English Medium - Algebra 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Solve 2x − 3y = 6, x + y = 1
2)
Find the LCM of the following
8x⁴y², 48x²y⁴
3)
Find the LCM of the given expressions.
4x²y, 8x³y²
4)
Find the LCM and GCD for the following and verify that f(x) x g(x) = LCM x GCD
21x²y, 35 xy²
5)
Reduce each of the following rational expressions to its lowest form.
\(\frac { { x }^{ 2 }-1 }{ { x }^{ 2 }+x } \)

10th Standard Maths English Medium - Algebra 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Which of the following are linear equation in three variables ___________
2)
Graphically an infinite number of solutions represents ___________
3)
Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynomials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM
4)
The HCF of two polynomials p(x) and q(x) is 2x(x + 2) and LCM is 24x(x + 2)² (x - 2) if p(x) = 8x³+ 32x²+ 32x, then q(x) ___________
5)
Consider the following statements:
(i) The HCF of x+y and x⁸-y⁸ is x+y
(ii) The HCF of x+y and x⁸+y⁸ is x+y
(iii) The HCF of x-y nd x⁸+y⁸ is x-y
(iv) The HCF of x-y and x⁸-y⁸ is x-y

10th Standard Maths English Medium - Algebra 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is
3)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
4)
\(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is
5)
y² + \(\frac {1}{y^{2}}\) is not equal to

10th Standard Maths English Medium - Numbers and Sequences 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Show that the square of an odd positive integer is of the form 8q + 1, for some integer q.
2)
Show that if x and y are both odd positive integers, then x² + y² is even but not divisible by 4.
3)
If the H.C.F. of 210 and 55 is expressible in the form 210 x 5 + 55y. Find y.
4)
lf d is the H.C.F. of 56 and 72, find x and y satisfying d = 56x + 72y
5)
In an Interview, the number of participants in Mathematics, Physics and Chemistry are 60, 84 and 108 respectively. Find the minimum number of rooms required if in each room the same number of participants to be seated and alt of them being in the same subject

10th Standard Maths English Medium - Numbers and Sequences 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.
2)
How many terms of the AP: 24, 21, 18, ... must be taken so that their sum is 78?
3)
Find the sum of first 24 terms of the list of numbers whose nth term is given by a_n= 3 + 2n.
4)
What is the greatest possible length which can be used to measure exactly the lengths 7 m; 3 m 85 cm ; 12 m 95 cm?
5)
Find the greatest number that will divide 43,91 and 183 so as to leave the same remainder in each case.

10th Standard Maths English Medium - Numbers and Sequences 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Find the LCM and HCF of 408 and 170 by applying the fundamental theorem of arithmetic.
2)
Find the greatest number consisting of 6 digits which is exactly divisible by 24,15,36?
3)
What is the smallest number that when divided by three numbers such as 35, 56 and 91 leaves remainder 7 in each case?
4)
Find the least number that is divisible by the first ten natural numbers.
5)
Find the remainders when 70004 and 778 is divided by 7

10th Standard Maths English Medium - Numbers and Sequences 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
lf 6ⁿ is a number such that n is a natural number. Check whether is any value of n \(\in\) N for which 6ⁿ is divisible by 7.
2)
Find the H.C.F. and L.C.M of 100 and 190 by fundamental theorem of arithmetic
3)
Write the H.C.F. of smallest composite number and the smallest Prime number
4)
The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec respectively. If they all change simultaneously at 8.20 am, then at what time will they again change simultaneously?
5)
\(\text { Does } 7 \text { divides }\left(2^{29}+3\right) ?\)

10th Standard Maths English Medium - Numbers and Sequences 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
We have 34 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?
2)
Find the quotient and remainder when a is divided by b in the following a = −12, b = 5
3)
Show that the square of an odd integer is of the form 4q + 1, for some integer q.
4)
Find all positive integers, when divided by 3 leaves remainder 2.
5)
A man has 532 flower pots. He wants to arrange them in rows such that each row contains 21 flower pots. Find the number of completed rows and how many flower pots are left over.

10th Standard Maths English Medium - Numbers and Sequences 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If m and n are the two positive integers then m² and n² are ____________
2)
If 3 is the least prime factor of number 'a' and 7 is least prime factor of number 'b', then the least prime factor of a + b is ____________
3)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
4)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
5)
Given a₁= -1, \(a=\frac { { a }_{ n } }{ n+2 } \), then a₄ is ____________

10th Standard Maths English Medium - Numbers and Sequences 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy
2)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
3)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
4)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
5)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

10th Standard Maths English Medium - Relations and Functions 8 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
\(\text { If } \mathbf{A}=\left\{x / x^{2}-4 x+3=0\right\}B=\left\{x / x^{2}-x-6=0\right\}, C=\left\{x / x^{3}-4 x=0\right\},\)
find i) A x B
ii) A x C
iii) (A - B) x C
2)
If A and B be two non-empty sets, then show that A x B = B x A if A = B.
3)
In the given ordered pairs (4, 6), (8, 4), (3, 3),(9,11), (6, 3), (3, 0), (2,3). Find the following relations. AIso, find the domain and range.
(i) is two less than
(ii) is less than
(iii) is greater than
(iv) is equal to
4)
Let A = {2,3,4,5} and B = {8,9, 10, 11}. Let R be the relation "is factor of" from A and B.
i) Write R in the roster form. Also find Domain and Range of R.
ii) Draw an arrow diagram to represent the relation.
5)
Given f(x) = 3x + 7, g(x) = -x + 8, h (x) = x² + 3x - 1 Prove that Composition of functions, is associative.

10th Standard Maths English Medium - Relations and Functions 5 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
The distance S (in kms) travelled by a particle in time ‘t’ hours is given by S(t) = \(\frac { { t }^{ 2 }+t }{ 2 } \). Find the distance travelled by the particle after
(i) three and half hours.
(ii) eight hours and fifteen minutes.
2)
Let f = {(2, 7); (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Is this
(i) an one-one function
(ii) an onto function,
(iii) both one and onto function?
3)
A function f: [-7,6) \(\rightarrow\) R is defined as follows.

find 2f(-4) + 3f(2)
4)
A function f: [-7,6) \(\rightarrow\) R is defined as follows.

f(-7) - f(-3)
5)
A function f: [-7,6) \(\rightarrow\) R is defined as follows.

\(\cfrac { 4f(-3)+2f(4) }{ f(-6)-3f(1) } \)

10th Standard Maths English Medium - Relations and Functions 5 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Let A = {x \(\in \) N| 1 < x < 4}, B = {x \(\in \) W| 0 ≤ x < 2) and C = {x \(\in \) N| x < 3} Then verify that
(i) A x (B U C) = (A x B) U (A x C)
(ii) A x (B ∩ C) = (A x B) ∩ (A x C)
2)
If B x A = {(-2,3), (-2,4),(0,3), (0,4),(3,3),(3,4)} find A and B.
3)
If A = {5,6}, B = {4,5,6}, C = {5,6,7}, Show that A x A = (B x B) ∩ (C x C)
4)
Let A = {x \(\in \) W| x < 2}, B = {x \(\in \) N| 1 < x ≤ 4} and C = (3,5). Verify that
A x (B U C) = (A x B) U (A x C)
5)
Let A = The set of all natural numbers less than 8, B = The set of all prime numbers less than 8, C = The set of even prime number. Verify that
(A ∩ B) x C = (A x C) ∩ (B x C)

10th Standard Maths English Medium - Relations and Functions 2 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If A = {1,3,5} and B = {2,3} then
(i) find A x B and B x A
(ii) Is A x B = B x A? If not why?
(iii) Show that n(A x B) = n(B x A) = n(A) x n(B)
2)
If A x B = {(3,2), (3, 4), (5,2), (5, 4)} then find A and B.
3)
Let A = {1,2,3} and B = {x| x is a prime number less than 10}. Find A x B and B x A.
4)
Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
R₁= {(3,7), (4,7), (7,10), (8,1)}
5)
The arrow diagram shows a relationship between the sets P and Q. Write the relation in
(i) Set builder form
(ii) Roster form
(iii) What is the domain and range of R.

10th Standard Maths English Medium - Relations and Functions 2 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
Find k, if f(k) = 2k - 1 and f o f(k) = 5.
2)
Let A = {1,2, 3, 4} and B = {-1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Let R = {(1, 3), (2, 6), (3, 10), (4, 9)} \(\subseteq \) A x B be a relation. Show that R is a function and find its domain, co-domain and the range of R.
3)
Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Let f: A \(\rightarrow\)B be a function given by f(x) = 2x + 1. Represent this function as a set of ordered pairs.
4)
State whether the graph represent a function. Use vertical line test.
5)
If the Set 'A' has 3 elements. and the Set B {3, 4, 5}, find the number of elements in (A x B).

10th Standard Maths English Medium - Relations and Functions 1 Mark Creative Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
2)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
3)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
4)
If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________
5)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________

10th Standard Maths English Medium - Relations and Functions 1 Mark Book Back Question Paper and Answer Key 2022 - 2023 - by Study Materials - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A U C) x B] is
3)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
4)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
5)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is

10th Standard Mathematics Statistics and Probability English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
Which of the following is not a measure of dispersion?
2)
The sum of all deviations of the data from its mean is
3)
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all observations is
4)
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
5)
If the standard deviation of x, y, z is p then the standard deviation of 3x + 5, 3y + 5, 3z + 5 is

10th Standard Mathematics Mensuration English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
2)
If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
3)
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
4)
The total surface area of a hemi-sphere is how much times the square of its radius.
5)
A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is

10th Standard Mathematics Trigonometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
tan \(\theta \) cosec²\(\theta \) - tan\(\theta \) is equal to
2)
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x²- \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
3)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to
4)
a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p²- q²is equal to
5)
The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the pole is 60°. The height of the pole (in metres) is equal to

10th Standard Mathematics Coordinate Geometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is
2)
The point of intersection of 3x − y = 4 and x + y = 8 is
3)
If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is
4)
The equation of a line passing through the origin and perpendicular to the line 7x - 3y + 4 = 0 is
5)
A straight line has equation 8y = 4x + 21. Which of the following is true

10th Standard Mathematics Geometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
2)
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is
3)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
4)
In a \(\triangle\)ABC, AD is the bisector \(\angle\)BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is
5)
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

10th Standard Mathematics Algebra English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
3)
y² + \(\frac {1}{y^{2}}\) is not equal to
4)
Which of the following should be added to make x⁴ + 64 a perfect square
5)
Graph of a linear equation is a ____________

10th Standard Mathematics Numbers and Sequences English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
2)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
3)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
4)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
5)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

10th Standard Mathematics Relations and Functions English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

1)
A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A U C) x B] is
2)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
3)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
4)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
5)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is

10th Standard Mathematics Statistics and Probability English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
The range of the data 8, 8, 8, 8, 8. . . 8 is
2)
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all observations is
3)
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
4)
If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is
5)
The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

10th Standard Mathematics Mensuration English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
2)
If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
3)
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
4)
The total surface area of a hemi-sphere is how much times the square of its radius.
5)
A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. Then, the volume of the frustum is

10th Standard Mathematics Trigonometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
2)
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a²- 1) is equal to
3)
If sin \(\theta \) = cos \(\theta \), then 2 tan²\(\theta \) + sin²\(\theta \) -1 is equal to
4)
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
5)
If the ratio of the height of a tower and the length of its shadow is \(\sqrt{3}: 1\), then the angle of elevation of the sun has measure

10th Standard Mathematics Coordinate Geometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is
2)
The straight line given by the equation x = 11 is
3)
The point of intersection of 3x − y = 4 and x + y = 8 is
4)
The slope of the line which is perpendicular to a line joining the points (0, 0) and (– 8, 8) is
5)
If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

10th Standard Mathematics Geometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
2)
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is
3)
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
4)
In the adjacent figure \(\angle BAC\) = 90^o and AD\(\bot \)BC then
5)
In the given figure, PR = 26 cm, QR = 24 cm, \(\angle PAQ\) = 90^o, PA = 6 cm and QA = 8 cm. Find \(\angle\)PQR

10th Standard Mathematics Algebra English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
A system of three linear equations in three variables is inconsistent if their planes
2)
If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is
3)
y² + \(\frac {1}{y^{2}}\) is not equal to
4)
The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to
5)
The solution of (2x - 1)² = 9 is equal to

10th Standard Mathematics Numbers and Sequences English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
2)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
3)
7^4k \(\equiv \) ________ (mod 100)
4)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
5)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is

10th Standard Mathematics Relations and Functions English Medium Free Online Test 1 Mark Questions 2020-2021 - by Question Bank Software - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
3)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
4)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
5)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 3 - by Question Bank Software - View & Read

1)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
2)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
3)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
4)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
5)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 2 - by Question Bank Software - View & Read

1)
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
2)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
3)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
4)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________
5)
Graphically an infinite number of solutions represents ___________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 1 - by Question Bank Software - View & Read

1)
If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________
2)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
3)
If m and n are the two positive integers then m² and n² are ____________
4)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
5)
If p, q, r, x, y, z are in A.P, then 5p + 3, 5r + 3, 5x + 3, 5y + 3, 5z + 3 form ____________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - Three - by Question Bank Software - View & Read

1)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
2)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
3)
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
4)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________
5)
Graphically an infinite number of solutions represents ___________

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - Two - by Question Bank Software - View & Read

1)
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
2)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
3)
In the arithmetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then S_n is ____________
4)
In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________
5)
Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynomials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - One - by Question Bank Software - View & Read

1)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
2)
If f(x) + f(1 - x) = 2 then \(f\left( \frac { 1 }{ 2 } \right) \) is ___________
3)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
4)
A boy saves Rs. 1 on the first day Rs. 2 on the second day, Rs. 4 on the third day and so on. How much did the boy will save upto 20 days?
5)
The HCF of two polynomials p(x) and q(x) is 2x(x + 2) and LCM is 24x(x + 2)² (x - 2) if p(x) = 8x³+ 32x²+ 32x, then q(x) ___________

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 3 - by Question Bank Software - View & Read

1)
A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A U C) x B] is
2)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
3)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 2 - by Question Bank Software - View & Read

1)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
2)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
3)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
4)
If 6 times of 6^th term of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is
5)
The value of (1³+ 2³+ 3³+...+15³) - (1 + 2 + 3 +...+ 15)is

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 1 - by Question Bank Software - View & Read

1)
A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A U C) x B] is
2)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
5)
A system of three linear equations in three variables is inconsistent if their planes

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - Three - by Question Bank Software - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
3)
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
4)
If A = 2⁶⁵ and B = 2⁶⁴+ 2⁶³+ 2⁶²+...+ 2⁰ Which of the following is true?
5)
Which of the following should be added to make x⁴ + 64 a perfect square

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - Two - by Question Bank Software - View & Read

1)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
5)
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - One - by Question Bank Software - View & Read

1)
A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A U C) x B] is
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
4)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
5)
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 10 - by Question Bank Software - View & Read

1)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
2)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
3)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
Given a₁= -1, \(a=\frac { { a }_{ n } }{ n+2 } \), then a₄ is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 9 - by Question Bank Software - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
3)
If A = 2⁶⁵ and B = 2⁶⁴+ 2⁶³+ 2⁶²+...+ 2⁰ Which of the following is true?
4)
If 3 is the least prime factor of number 'a' and 7 is least prime factor of number 'b', then the least prime factor of a + b is ____________
5)
A boy saves Rs. 1 on the first day Rs. 2 on the second day, Rs. 4 on the third day and so on. How much did the boy will save upto 20 days?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 8 - by Question Bank Software - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
3)
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
4)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
5)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 7 - by Question Bank Software - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
3)
If f(x) + f(1 - x) = 2 then \(f\left( \frac { 1 }{ 2 } \right) \) is ___________
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 6 - by Question Bank Software - View & Read

1)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
2)
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
3)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is
4)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
5)
Sum of first n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...\) is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 5 - by Question Bank Software - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
If \(f(x)=\frac { 1 }{ x } \), and \(g(x)=\frac { 1 }{ { x }^{ 3 } } \) then f o g o(y), is ________
3)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
4)
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
5)
A boy saves Rs. 1 on the first day Rs. 2 on the second day, Rs. 4 on the third day and so on. How much did the boy will save upto 20 days?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 4 - by Question Bank Software - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
3)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
4)
The first term of an A.P. whose 8^thand 12^th terms are 39 and 59 respectively is ____________
5)
Which of the following should be added to make x⁴ + 64 a perfect square

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 3 - by Question Bank Software - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
3)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
4)
What is the HCF of the least prime and the least composite number?
5)
Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 2 - by Question Bank Software - View & Read

1)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
2)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
3)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
4)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
5)
A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If the side of the first square is 4 cm, then the sum of the area of all the squares is ____________

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 1 - by Question Bank Software - View & Read

1)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
2)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
3)
7^4k \(\equiv \) ________ (mod 100)
4)
If a and b are the two positive integers when a > b and b is a factor of a then HCF (a, b) is ____________
5)
Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Ten - by Question Bank Software - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________
3)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
4)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
5)
The value of (1³+ 2³+ 3³+...+15³) - (1 + 2 + 3 +...+ 15)is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Nine - by Question Bank Software - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
5)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Eight - by Question Bank Software - View & Read

1)
If n(A x B) = 6 and A = {1,3} then n(B) is
2)
f(x) = (x + 1)³ - (x - 1)³ represents a function which is
3)
If f : R⟶R is defined by (x) = x²+ 2, then the preimage 27 are _________
4)
If f is identify function, then the value of f(1) - 2f(2) + f(3) is:
5)
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Seven - by Question Bank Software - View & Read

1)
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
2)
If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are
3)
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
4)
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
5)
If the sequence t₁, t₂, t₃... are in A.P. then the sequence t₆, t₁₂, t₁₈,.... is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Six - by Question Bank Software - View & Read

1)
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
2)
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
3)
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
4)
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
5)
If A = 2⁶⁵ and B = 2⁶⁴+ 2⁶³+ 2⁶²+...+ 2⁰ Which of the following is true?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Five - by Question Bank Software - View & Read

1)
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
2)
If f(x) = 2x² and g(x) = \(\frac{1}{3x}\), then f o g is
3)
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________
4)
If 6 times of 6^th term of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is
5)
An A.P. consists of 31 terms. If its 16^th term is m, then the sum of all the terms of this A.P. is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Four - by Question Bank Software - View & Read

1)
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
2)
If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively
3)
If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________
4)
Given F₁ = 1, F₂ = 3 and F_n = F_n-1+ F_n-2 then F₅ is
5)
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Three - by Question Bank Software - View & Read

1)
The range of the relation R = {(x, x²) |x is a prime number less than 13} is
2)
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a, b) is
3)
Let f(x) = x²- x, then f(x- 1) - (x + 1) is ___________
4)
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
5)
7^4k \(\equiv \) ________ (mod 100)

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Two - by Question Bank Software - View & Read

1)
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true..
2)
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
3)
\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =
4)
If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is
5)
The sum of the exponents of the prime factors in the prime factorization of 1729 is

S. No	Vertices	Area (sq. units)
(i)	(0, 0), (p, 8), (6, 2)	20
(ii)	(p, p), (5, 6), (5, -2)	32

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