The greatest natural number is

How many natural numbers are there between 1 and 10?

Which of the following number is divisible by 8?

How many pairs of adjacent sides are there in a quadrilateral?

The number of edges of the shape

is

Take two digits, 0 and 1. Make the smallest 4-digit number using both the digits equal number of times

Find 27 \(\div\) (9 \(\div\) 3 ).

Which of the following number is not a multiple of 9?

The least number of line segment required to make a polygon is

What part of a revolution have you turned through if you stand facing east and turn clockwise to face west?

Arrange the following numbers in ascending order: 132, 2000, 7500, 525.

First triangular number is

The prime number which is even is

The number of circles that can be drawn with a given centre is

The shape

is of

Which of the following numbers comes next to 999?

The predecessor of 100 is

200 is divisible by

Which of the following has two end points?

The shape

is of

Using the digits 1,2,3,4 without repetition, the greatest 4-digit number that can be made is

The natural number that has no predecessor in natural numbers is

Which of the following number is not a multiple of 6?

How many angles are there in a triangle?

The number of corners of a cylinder is

Every integer less than 0 has the sign

The predecessor of the integer -1 is

Which of the following shows the maximum rise in temperature?

The succeeding number of the number 0 is

The succeeding number of the number - 1 is.

Through what angle measure does the hour hand of a clock turn through, when it goes from 12 to 9?

Through what angle does the hour hand of a clock turn through, when it goes from 2 to 11?

What part of a revolution have you turned through if you stand facing north and turn clockwise to face east?

How many right angles do you make if you start facing south and turn clockwise to east?

The measure of a reflex angle is

Which of the following has two end points?

Which of these is an example for a pair of these parallel lines?

The least number of line segment required to make a polygon is

Which of the following is not a polygon?

How many sides are there in the following figure?

Using divisibility tests, determine which of the following numbers is divisible by 2?

Which of the following numbers is divisible by 3?

State which of the following is correct prime factorisation of the numbers.

Which of the following is not co-prime?

Which of the following number is divisible by 8?

77 + 23 = 23 + 77 is an example of

The predecessor of 1 lakh is

The product of two whole numbers is always a

The successor of 99 is

The difference between the successor of a number and the number itself is

Which of the following is true?

The greatest of the numbers 123, 27,650, 2342, 40000 is

Using the digits 1, 5, 7, 2 without repetition, the greatest 4-digit number that can be made is

Using the digits 3, 5, 7, 0 without repetition the greatest 4-digit number that can be made is

Make the smallest 4-digit number by using anyone digit of 7, 0, 6 twice.

In Indian system of numeration, the number 58695376 is written as

Which of the following roman symbol is never repeated?

The smallest 4-digit number that can be made using the digits 5, 3, 6, 4 without repetition is

Take two digits, 0 and 1. Make the smallest 4-digit number using both the digits equal number of times

Which of the following numbers comes just before 1000?

Find the greatest and the smallest numbers. 6895, 23787, 24569, 24659.

India's population has been steadily increasing from 439 millions in 1961 to 1028 millions in 2001. Find the total increase in population from 1961 to 2001. Write the increase in population in Indian system of numeration, using commas suitably.

Find the product of the smallest whole number with the largest three-digit whole number.

Try arranging 18 marbles in rows and find the factors of 18

Try to form a polygon with
(i) five matchsticks.
(ii) four matchsticks.
(iii) three matchsticks.
(iv) two matchsticks.
In which case was it not possible? Why?

Find the greatest and the smallest numbers. 25286, 25245, 25270, 25210.

Make the greatest and the smallest 4-digit numbers by using anyone digit twice. 3, 8, 7.

Starting from the greatest 6-digit number, write the previous five numbers in descending order.

Starting from the smallest 8-digit number, write the next five numbers in ascending order and read them.

To stitch a shirt 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

By instantly looking at the numbers, find which one is the greatest and which one is the smallest in the following. 29, 210, 198, 1234

Compare the following number: 97632 and 96543

Place commas correctly and write the numerals:
Nine crores five lakhs forty one

Solve the following with the help of expanding bracket: 27 \(\times\) 105

Solve the following with the help of bracket 27 \(\times\) 109

Draw a circle of radius 3.2 cm.

Construct \(\bar{AB}\) of length 7.8 cm. From this, cut-off \(\bar{AC}\) of length 4.7 cm. Measure \(\bar{BC}\) .

Draw any line segment \(\bar{PQ}\). Without measuring \(\bar{PQ}\), construct a copy of \(\bar{PQ}\).

Draw any line segment \(\bar{PQ}\). Take any point R not on it. Through R, draw a perpendicular to \(\bar{PQ}\) (use ruler and set-square).

With \(\bar{PQ}\) of length 6.1 cm as diameter, draw a circle.

Form as many shapes as you can by combining two or more set-squares. Draw them on squared paper and note their line of symmetry.

Write the number of lines of symmetry in each letter of the word 'SYMMETRY' and draw the line of symmetry.

Draw the images of points A and B in line l of figure and name them as A' and B', respectively. Measures AB and A' B'. Are they equal?

In figure, the point C is the image of point A in line I and line segment BC intersects the Iine l at P.

(a) Is the image of P in line I the point P itself?
(b) Is PA = PC?
(c) Is PA + PB = PC + PB?
(d) Is P that point on line I from which the sum of the distances of points A and B is minimum?

Draw the images P', Q' and R' of the points P, Q and R, respectively in the line n. Join P 'Q' and Q' R' to form an angle P'Q'R'. Measure ㄥPOR and ㄥP'Q'R'. Are the two angles equal?

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of
(a) number of students liking football to the number of students liking tennis.
(b) number of students liking cricket to total number of students.

In a year, Seema earns Rs. 150000 and saves Rs.50000. Find the ratio of
(a) money that Seema earns to the money she saves.
(b) money that she saves to the money she spends.

In a college, out of 4320 students, 2300 are girls. Find the ratio of
(a) number of girls to the total number of students.
(b) number of boys to the number of girls.
(c) number of boys to the total number of students.

An amount of Rs.720 is to be distributed among Mark, Zack and Zen in the ratio of 7 : 4 : 9. Determine the total amount received by Zack and Zen.

Cost of 5 kg of wheat is Rs.30.50.
(a)What will be the cost of 8 kg of wheat?
(b) What quantity of wheat can be purchased in Rs. 61?

(a) Take Sarita's present age to be y yr.
(i) What will be her age 5 yr from now?
(ii) What was her age 3 yr back?
(iii) Sarita's grandfather is 6 times her age. What is the age of her grandfather?
(iv) Grandmother is 2 yr younger than grandfather. What is grandmother's age?
(v) Sarita's father's age is 5 yr more than 3 times Sarita's age. What is her father's age?

Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of stepsto the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

The perimeter of an equilateral triangle having each side x cm long is 15 cm. Find the length of the side.

Sonal got 5 marks less than that of Ritu in a competition. If Ritu got 15 marks, how many marks obtained by Sonal?

Anil is x years old. Express the following in algebraic form.
(a) Anil's age after a period of 15 yr.
(b) 5 times Anil's age, 5 yr ago.
(c) What is his father's age, if he is 15 yr more than double of Anil's age?
(d) The present age of Anil's cousin, if his cousin is three years less than one-third Anil's age five years ago.
(e) Find the age of Anil's grandfather, if his age is double his son's age and the age of Anil's father is 20 yr more than Anil's age.

The number of girl students in each class of a co-educational middle school is depicted by the pictograph.

Observe this pictograph and answer the following questions.
(a) Which class has the minimum number of girl students?
(b) Is the number of girls in Class VI less than the number of girls in Class V?
(c) How many girls are there in Class VII?

In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?

Total number of students of a school in different years is shown in the following table.

(A) Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions.
        (a) How many symbols represent total number of students in the year 2002?
        (b) How many symbols represent total number of students in the year 1998?
(B) Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?

Number of persons in various age groups in a town is given in the following table

Draw a bar graph to represent the above information and answer the following questions.
(take 1 unit length = 20 thousands)
(a) Which two age groups have same population?
(b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are therein the town?

Soniya saves Rs 500 in January, Rs 700 in February, Rs 600 in March, Rs 750 in April and Rs 900 in May.
(a) Draw a bar graph to represent Soniya's saving.
(b) In which month, her saving is maximum?
(c) What value is depicted by Soniya?

A table-top measure 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?

The length and breadth of three rectangles are as given below.
(a)9 m and 6 m (b) 17 m and 3 m (c)4 m and 14 m
Which one has the largest area and which one has the smallest?

Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?

Length of a rectangular field is 250 m and width is 150 m. Anuradha runs around this field 3 times. How far did she run? How many times she should run around the field to cover a distance of 4 km?

The lawn in front of Molly's house is 12 m\(\times\) 8m, whereas the lawn in front of Dolly's house is 15 m \(\times\) 5 m. A bamboo fencing is built around both the lawns. How much fencing is required for both?

Write the fractions. Are all these fractions equivalent?

Write the fractions. Are all these fractions equivalent?

Add\(\frac { 1 }{ 12 } +\frac { 1 }{ 12 } \) .How will we show this pictorially? Using paper folding?

My elder sister divided the watermelon into 16 parts. I ate 7 out of them. My friend ate 4. How much did we eat between us? How much more of the watermelon did I eat than my friend? What portion of the watermelon remained?

Mr. Rajan got a job at the age of 24 yr and he got retired from the job at the age of 60 yr. What fraction of his age till retirement was he in the job?

The perimeter of an equilateral triangle having each side x cm long is 15 cm. Find the length of the side.

Rahul scores 20 more runs than twice of the runs scored by Vipin. If Vipin made 10 runs, what is the score of Rahul?

Sonal got 5 marks less than that of Ritu in a competition. If Ritu got 15 marks, how many marks obtained by Sonal?

Form an equation for the given statements.
(a) When 14 is added to a number, the result is 70.
(b) The difference of a number with 3 is 10.
(c) Five times a number is 25.
(d) A number divided by 3 gives 15.
(e) Three is added to two times of a number given 13.

Translate each of the following statements into an equation, using x as the variable.
(a) 13 subtracted from twice a number gives 3.
(b) One-fifth of a number is 5 less than that number.
(c) Two-third of a number is 12.
(d) 9 added to twice a number gives 13.
(e) 1 subtracted from one-third of a number gives 1.

Mark -3, 7, -4, -8, -1 and 3 on the number line.

Compare the following pairs of numbers using > or <.
(i) \(0\ \Box -8\)
(ii) \(-1\ \Box\ -15\)
(iii) \(5\ \Box\ -5\)
(iv) \(11\ \Box\ 15\)
(v) \(0\ \Box\ 6\)
(vi) \(-20\ \Box\ 2\)
From the above exercise, Rohini arrived at the following conclusions:
(a) Every positive integer is larger than every negative integer.
(b) Zero is less than every positive integer.
(c) Zero is larger than every negative integer.
(d) Zero is neither a negative integer nor a positive integer.
(e) Farther a number from zero on the right, larger is its value.
(f) Farther a number from zero on the left, smaller is its value. Do you agree with her? Give examples.

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points.
(a) If point D is + 8, then which point is -8?
(b) Is point G, a negative integer or a positive integer?
(c) Write integers for points B and E.
(d) Which point marked on this number line has the least value?
(e) Arrange all the points in decreasing order of value?

Temperature of a place at 7 : 00 am was 6°C. Temperature increased by 4°C in first hour and decreased by 1°C in the second hour. What was the temperature at 9 : 00 am?

Write six distinct integers, whose sum is 7.

Write five numbers between 0 and 1 and show them on the number line.

Can you now represent 2.3 on a number line? Check, how many ones and tenths are there in 2.3. Where will it lie on the number line?

(a) The length of Ramesh's notebook is 9 cm 5 mm. What will be its length in cm?
(b) The length at a young gram plant is 65 mm. Express its length in cm.

What part of the whole square is the shaded portion, if we shade 8 squares, 15 squares, 50 squares, 92 squares of the whole square?

Write the following decimals in the place value table.
(a) 0.29  (b) 2.08   (c) 19.60  (d) 148.32   (e) 200.812

Divide 20 pens between Sheela and Sangeeta In the ratio of 3 : 2.

Mother wants to divide Rs.36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 yr and age of Bhoomika is 12 yr find, how much Shreya and Bhoomika will get.

If in a stationary shop, the ratio of sales of pens and pencils is same as the ratio of sales of scales and erasors. When the number of pens, pencils and scales sold in a day is 20,15,8 and 6, respectively. Then, find the number of erasors sold.

In a club having 100 members, 20 play carom, 24 play table tennis, 16 play badminton and the remaining do not play any game (no member plays more than one game). Find the ratio of the number of members who play
(a) carom to the numbers of those, who play table tennis.
(b) badminton to the number of those, who play carom.
(c) table tennis to the number of those, who play badminton.
(d) badminton to the number of those, who do not play any game.

Ritu wants to divide Rs 300 between his two sons Amit and Nitin in the ratio of their ages. If the age of Amit is 12 yr and that of Nitin is 8 yr. Find the share of each.

Form as many shapes as you can by combining two or more set-squares. Draw them on squared paper and note their line of symmetry.

Write the number of lines of symmetry in each letter of the word 'SYMMETRY' and draw the line of symmetry.

In figure, the point C is the image of point A in line I and line segment BC intersects the Iine l at P.

(a) Is the image of P in line I the point P itself?
(b) Is PA = PC?
(c) Is PA + PB = PC + PB?
(d) Is P that point on line I from which the sum of the distances of points A and B is minimum?

Draw the images P', Q' and R' of the points P, Q and R, respectively in the line n. Join P 'Q' and Q' R' to form an angle P'Q'R'. Measure ㄥPOR and ㄥP'Q'R'. Are the two angles equal?

Complete the following figures.

Draw any line segment \(\bar{PQ}\). Take any point R not on it. Through R, draw a perpendicular to \(\bar{PQ}\) (use ruler and set-square).

Draw a line 1 and a point X on it. Through X, draw a line segment \(\bar{XY}\) perpendicular to l. Now, draw a perpendicular to XY at Y (use ruler and compasses).

Draw \(\bar{AB}\) of length 7.3 cm and find its axis of symmetry.

Construct with ruler and compasses, angle of the following measures 30^o.

Construct with ruler and compasses, angle of the following measures 90^o.

A table-top measure 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?

The length and breadth of three rectangles are as given below.
(a)9 m and 6 m (b) 17 m and 3 m (c)4 m and 14 m
Which one has the largest area and which one has the smallest?

Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?

How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively.
(a) 100 cm and 144 cm (b) 70 cm and 36 cm

Find the cost of fencing a rectangular field 34 m long and 18 m wide at Rs.2.25 per metre. What is the cost of cultivating the field at Rs. 4.50 per square metre?

Following pictograph shows the number of tractors in five villages.

Observe the pictograph and answer the following questions.
(i) Which village has the minimum number of tractors?
(ii) Which village has the maximum number of tractors?
(iii) How many more tractors village C has as compared to village B?
(iv) What is the total number of tractors in all the five villages?

The sale of electric bulbs on different days of a week is shown below

Observe the pictograph and answer the following questions.
(a) How many bulbs were sold on Friday?
(b) On which day, were the maximum number of bulbs sold?
(c) On which of the days, same number of bulbs were sold?
(d) On which of the days, minimum number of bulbs were sold?
(e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week?

In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?

Total number of students of a school in different years is shown in the following table.

(A) Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions.
        (a) How many symbols represent total number of students in the year 2002?
        (b) How many symbols represent total number of students in the year 1998?
(B) Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?

The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below:

Draw a bar graph to represent the above information choosing the scale of your choice.

One of the equal angles of an isosceles triangle is 40°. Find its other angle.

Name each polygon. Make two more examples of each of these.

Construct two line segments AB and CO of lengths 2.5 cm and 3.2 cm. Construct another segment EF, whose length is the sum of these two segments. Measure the new length.

Name the type of triangle, if
(a) sides are 7 cm, 8 cm and 9 cm
(b) ΔABC; AB = AC = 6 cm, BC = 8 cm
(e) ΔABC; AB = BC = AC = 5 cm
(d) ΔABC; \(\angle B = 90°\), BC= 4 cm, AB = 3 cm.

In figure, BCDE is a square and a 3-D shape has been formed by joining the point A in space with the vertices B, C, D and E. Name the 3-D shape and also its
(i) vertices
(ii) edges and
(iii) faces.

Classify the following curves as (i) open or (ii) closed.

From the following figure, answer the following:

(a) Is ABCDE a polygon?
(b) Is O the exterior of the polygon?
(c) Is G is the interior of the polygon?

Draw a polygon having exactly eight sides.

Draw a diagram of two angles having two common points.

(a) Identify three triangles in the figure.

(b) Write the names of seven angles.
(c) Write the names of six line segments.
(d) Which two triangles have \(\angle B\) as common?

Write a digit in the blank space of the following number, so that the number formed is divisible by 11. 8___9484

Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5 and 6 respectively.

Three brands A, B and C of biscuits are available in packets of 12, 15 and 21 biscuits, respectively. If a shopkeeper wants to buy an equal number of biscuits of each brand, what is the minimum number of packets of each brand, he should buy?

On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 46 cm, respectively.
(a) What is the minimum distance each should walk so that each can cover the same distance in complete steps?
(b) What are the benifits of morning walk?

Find a 4-digit odd number using each of digits 1, 2, 4 and 5 only once such that when the first and last digits are interchanged, it is divisible by 4.

Mr. Rajesh withdraws Rs 100000 from his bank account. He purchased a TV set for Rs 38650, a refrigerator for Rs 23880 and jewellery worth Rs 35560. How much money was left with him?

Find the difference between the smallest number of 7-digit and the largest number of 4-digit.

In a city, polio drops were given to 212583 children on Sunday in March 2013 and to 216813 children in next month.
(a) Find the difference of the number of children getting polio drops in the two months.
(b) What is the value of vaccinating children for polio in India?

Find the value of 3 x (7 + 3), 5 x (9 + 1) using distributive property.

Sudhir bought 10 TV sets at a rate of Rs 2000 for one set. He sells them in Rs 25000. Find his profit.

Find the greatest and the smallest numbers. 6895, 23787, 24569, 24659.

Read and expand the numbers wherever there are blanks.

Read these numbers
(i) 527864
(ii) 95432
(iii) 18950049
(iv) 70002509
(a) Write these numbers using placement boxes and then using commas in Indian system of numeration as well as Intemational system of numeration.
(b) Arrange these in ascending and descending orders.

Name five large cities in India. Find their population. Also, find the distance (in km) between each pair of these cities.

The monthly fee for a student in a school is Rs.480. If there are 620 students in the school. Then, find the total monthly collection of fees.

Write the fractions. Are all these fractions equivalent?

The following fraction represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one in its simplest form. 
(a) \(\frac { 2 }{ 12 } \)   (b)\(\frac { 3 }{ 15 } \) (c)\(\frac { 8 }{ 50 } \) (d)\(\frac { 16 }{ 100 } \)(e) \(\frac { 10 }{ 60 } \)(f) \(\frac { 15 }{ 75 } \) (g)\(\frac { 12 }{ 60 } \)  (h)\(\frac { 16 }{ 96 } \)  (i)\(\frac { 12 }{ 75 } \)  (j)\(\frac { 12 }{ 72 } \)(k)\(\frac { 3 }{ 18 } \)  (l)\(\frac { 4 }{ 25 } \)

Add\(\frac { 1 }{ 12 } +\frac { 1 }{ 12 } \) .How will we show this pictorially? Using paper folding?

On an average,\(\frac{1}{10}\)of the food eaten is turned into organism's own body and is available for the next level of consumer in a food chain. What fraction of the food eaten is not available for the next level?

Riya saves \(\frac{1}{3}\)of her salary. She spends \(\frac{1}{2}\)of the remaining and gives the left amount to charity.
(a) Find the fraction she gives for charity?
(b) Mention the values you depict from this.

Can you now write the following as decimals?

Can you now write the following as decimals?

Write \(\frac { 3 }{ 2 } ,\frac { 4 }{ 5 } and\frac { 8 }{ 5 } \)  in decimal notation.

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

(a) 0.8   (b) 5.1  (c) 2.6  (d) 6.4   (e) 9.1  (f) 4.9

Write the decimal number represented by the points A, B, C and D on the given number line.

Construct \(\bar{PQ}\) of length 7 cm. From this cut-off \(\bar{PA}\) of length 3.2 cm. Measure \(\bar{QA}\)

Draw a line segment AB using a ruler of length 5 cm. Also, construct a line segment of length 5 cm using ruler and compass.

Draw a line AB to 6.5 cm length. At the end points A B draw two perpendiculars. Are these lines perpendicular to each other?

Draw a circle of radius 4 cm. Draw the longest chord. Will it pass through the centre, if yes, what is the name such chord?

Draw two circles of radius 4 cm and 5 cm intersecting each other at point C and O. Join the centres A and B of the circles and points C and D. What is the relation between \(\overline { CD } \) and \(\overline { AB } \)?

In the figure given alongside, l is the line of symmetry. Draw the image of the triangle and complete the diagram, so that it becomes symmetric.

Draw two lines of symmetry in the following figures.

In each figure given below, a letter of the alphabet is shown along with a vertical line. Take the mirror image of the letter in the given line. Find which letters look the same after reflection (i.e. which letters look the same in the image) and which do not? Can you guess, why?

Write all the capital letters of the English alphabets which have more than one lines of symmetry.

Write the letters of the word' MATHEMATICS' which have no line of symmetry.

Cost of a dozen pens is Rs.180 and cost of 8 ball pens is Rs. 56. Find the ratio of the cost of a pen to the cost of a ball pen.

If the side of an equilateral triangle is same as the side of a square, then find the ratio of the perimeter of the triangle and square.

Amit and Suresh donated an amount of Rs.4000 and Rs.5500 respectively in a charity fund. What is ratio of the amount donated by them?

Is it possible to find the ratio of two quantities of different kind?

Check whether the given ratios are equal, i.e. they are in proportion. If yes, then write them in the proper form. 15: 45 and 5 : 25

Draw five triangles and measure their sides. Check in each case, if the sum of the lengths of any two sides is always less than the third side.

Which direction will you face, if you start facing
(a) East and makes \(\frac { 1 }{ 2 } \) of a revolution, clockwise?
(b) East and make 1\(\frac { 1 }{ 2 } \) of a revolution, clockwise?
(c) West and makes \(\frac { 3 }{ 4 } \) of a revolution, anti-clockwise?
(d) South and makes one full revolution? (Should we specify clockwise or anti-clockwise for this last question? Why not?)

Name each polygon. Make two more examples of each of these.

Name the type of triangle and also draw it rough sketch.
(a) ΔABC ; \(\angle A = \angle B = \angle C = 60°\)
(b) ΔABC; \(\angle B = \angle C = 50°\)
(c) ΔABC ; \(\angle A = 45°, \angle B = 45°, \angle C = 90°\)
(d) ΔABC; \(\angle A = 50°, \angle B = 60°, \angle C = 70°.\)

In figure, BCDE is a square and a 3-D shape has been formed by joining the point A in space with the vertices B, C, D and E. Name the 3-D shape and also its
(i) vertices
(ii) edges and
(iii) faces.

Mark -3, 7, -4, -8, -1 and 3 on the number line.

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points.
(a) If point D is + 8, then which point is -8?
(b) Is point G, a negative integer or a positive integer?
(c) Write integers for points B and E.
(d) Which point marked on this number line has the least value?
(e) Arrange all the points in decreasing order of value?

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, write the following using integers with the appropriate signs:
(a) 200 m above sea level
(b) 100 m below sea level
(c) 10 m above sea level
(d) sea level

Write the opposite of each of the following.
(a) Decrease in size
(b) Failure
(c) Profit of Rs10
(d) 1000 AD
(e) Rise in water level
(f) 60 km South
(g) 10m above the danger mark of river Ganga.
(h) 20 m below the danger mark of the river Brahmaputra.
(i) Winning by a margin of 2000 votes.
(j) Depositing Rs 100 in the Bank account.
(k) 20°C rise in temperature.

Write six distinct integers, whose sum is 7.

Following pictograph represents some surnames of people listed in the telephone directory of a city.

Observe the pictograph and answer the following questions:
(a) How many people have surname 'Roy'?
(b) Which surname appears the maximum number of times in the telephone directory?
(c) Which surname appears the least number of times in the telephone directory?
(d) Which two surnames appear an equal number of times?

The following are the weight in kg of 20 students of a class 25, 16, 17, 15, 23, 10, 9, 15, 16, 17, 15, 16, 23, 25, 16, 15, 23, 9, 10, 16
Prepare a frequency distribution table for the given data.

Following is the choice of sports for 20 students of class VI. Cricket, Football, Cricket, Tennis, Cricket, Badminton, Football, Cricket, Football, Tennis, Cricket, Badminton, Basketball, Football, Golf, Football, Hockey, Football Hockey, Cricket
Arrange the names of sports in a table using tally marks.

A factory made 200 dolls on Monday, 500 dolls on Tuesday, 350 dolls on Wednesday and 400 dolls on Thursday. Represent the information in the form of pictograph.

The number of tins of paint sold by three different shops are given below:

Draw a pictograph and answer the following questions.
(a) What is the total profit of shop A, if the profit gained on each tin is 150?
(b) If the total number of tins sold is 400, how many figures must be drawn for shop C?
(c) Find the difference between the number of tins sold by shop B and the number of tins sold by shop C. Use scale  = 20 tins.

The perimeter of a regular hexagon is 30 cm. How long is its one side?

Measure and write the lengths of the four sides of a page of your notebook. The sum of the lengths of the four sides.
= AB + BC + CD + DA
=__cm+__cm+__cm+__cm=__cm
What is the perimeter of the page?

Meera went to a park 150 m long and 80 m wide. She took one complete round on its boundary. What is the distance covered by her?

The lid of a rectangular box of side 40 cm by 10 cm is sealed all round with tape. What is the length of tape required?

What is the length of the wooden strip required to frame a photograph of length and breadth 32 cm and 21 cm, respectively?

We already know the rule for the pattern of letters L, C and F Some of the letters from question 1 (given above) give us the same rule as that given by L. Which are these? Why does this happen?

The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use S for the number of students).

Find the rule, which gives the number of matchsticks required to make the following matchstick patterns.
A pattern of letter V

The side of a regular pentagon is denoted by l. Express the perimeter of pentagon using l.

The radius of a circle is\(\frac{r}{2}\).Find its diameter in terms of r.

Express as km using decimals
70 km 5 m

Write each of the following as decimals. \(\frac { 12 }{ 10 } \)

Write as fraction in lowest form. 0.65

Write as fraction in lowest form. 4.50

What should be added to 25.5 to get 60?

Write the simplest form of \(\frac { 15 }{ 75 } \)

Write the simplest form of \(\frac { 16 }{ 72 } \)

Write the simplest form of \(\frac { 15 }{ 75 } \)

Replace \(\Box\) in each of the following by the correct number. \(\frac { 2 }{ 7 } =\frac { 8 }{ \Box } \)

Reduce the following fraction to simplest form \(\frac { 48 }{ 60 } \)

In the following figure, write angles of the quadrilateral ABCD.

Draw a rough figure and label suitably in each of the following cases.
(a) Point P lies on \(\bar {AB}\).
(b)\(\overleftrightarrow {XY}\) and\(\overleftrightarrow {PO}\) intersect at M.
(c) Line I contains E and F but not D.
(d)\(\overleftrightarrow {OP}\) and \(\overleftrightarrow {OQ}\) meet at O.

Illustrate, if possible, each one of the following with a rough diagram:
(a) A closed curve that is not a polygon.
(b) An open curve made up entirely of line segments.
(c) A polygon with two sides.

Draw a five sided polygon and shade its interior.

Draw rough diagrams of two angles such that they have
(a) one point in common.
(b) two points in common.
(c) three points in common.
(d) four points in common.
(e) one ray in common.

Find the possible factors of 45, 30, 36.

Write a digit in the blank space of the following number, so that the number formed is divisible by 11. 8___9484

A merchant has 120 L of oil of one kind, 180 L of another kind and 240 L of a third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such tin?

Three boys step off together from the same place. If their steps measure 36 cm, 48 cm and 54 cm, at what distance from the starting point will they again step together?

On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 46 cm, respectively.
(a) What is the minimum distance each should walk so that each can cover the same distance in complete steps?
(b) What are the benifits of morning walk?

Write the following numbers as directed using dots.
(a) 16 as a square
(b) 26 as a rectangle.

In a school, there are four sections of class VI. Each section has 50 students. Money collected for picnic from each student is Rs 125. Find the r total amount collected.

Study the following patterns.
1 =1², 1 + 3 = 2², 1 + 3 + 5 = 3², 1 + 3 + 5 + 7 = 4²
Hence, find the sum of
(a) First 19 odd numbers.
(b) First 21 odd numbers.

Mr. Rajesh withdraws Rs 100000 from his bank account. He purchased a TV set for Rs 38650, a refrigerator for Rs 23880 and jewellery worth Rs 35560. How much money was left with him?

Study the following patterns.
                   1 = 12
             1 + 3 = 22
       1 + 3 + 5 = 32
 1 + 3 + 5 + 7 = 42
Hence, find the sum of
(a) first 12 odd numbers
(b) first 50 odd numbers.

Find the greatest and the smallest numbers. 6895, 23787, 24569, 24659.

Read and expand the numbers wherever there are blanks.

Read these numbers. Write them using placement boxes and then write their expanded forms.
(i) 475320 (ii) 9847215 (iii) 97645310 (iv) 30458094
(a) Which is the smallest number?
(b) Which is the greatest number?
(c) Arrange these numbers in ascending and descending orders.

The monthly fee for a student in a school is Rs.480. If there are 620 students in the school. Then, find the total monthly collection of fees.

The distance between the park and the house of a student is 2 km 260 m. Every day he walks both ways between the parks and his house. Find the total distance covered by him in a week's time.

Write the preceding number of the following.

Write the following numbers with appropriate signs.
(a) 100 m below sea level
(b) 25°C above 0°C temperature
(c) 15°C below 0°C temperature
(d) Any five numbers less than 0

By using '+' or '-' sign indicate the following
15°Cbelow the freezing point

By using '+' or '-' sign indicate the following.
A gain of Rs 15000

Write the following numbers (integers) in decreasing order with using inequality sign' >' .
9,8,4,-3,-2,1,10

Will the measure of \(\angle ABC\) and \(\angle CBD\) make the measure of \(\angle ABD\)  in figure.

Which points in figure, appear to be mid-point of the line segments? When you locate a mid-point, name the two equal line segments formed by it.

Is it possible for the same, angle to have two different measures?

Using the information given, name the right angles in each part of figure.
BA 丄 BD 

Using the information given, name the right angles in each part of figure.
RS 丄 RW 

(a) Name the rays given in this picture.

(b) Is 'T' a starting point of each of these rays?

Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given letters.

Draw a polygon with four line segments and write its
(i) vertices
(ii) sides
(iii) diagonals

Draw rough diagram to illustrate the following:Closed curve.

Draw any polygon and shade its interior.

Write five pairs of prime numbers less than 20, whose sum is divisible by 5.

Using divisibility tests, determine the following number is divisible by 6? 297144

Using divisibility tests, determine the following number is divisible by 6? 639210.

Using divisibility tests, determine the following number is divisible by 6? 17852

Find the LCM of 15 and 20.

How many whole numbers are there between 32 and 53?

Some numbers can be shown by two rectangles.
e.g. 
Give at least five other such examples.

If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.

Study the pattern.
1 x 8 + 1 = 9
1234 x  8 + 4 = 9876
12 x 8 + 2 = 98
12345 x 8 + 5 = 98765
123 x 8 + 3 = 987
Write the next two steps.Can you say how the pattern works?

Write the predecessor of the following:
(a) 96
(b) 9998.

Make the greatest and the smallest 4-digit numbers using any four different digits with conditions given below:
Digit 7 is always at one place

Make the greatest and the smallest 4-digit numbers using any four different digits with conditions given below:
Digit 4 is always at tens place

Make the greatest and the smallest 4-digit numbers using any four different digits with conditions given below.
Digit 9 is always at hundreds place

Take two digits, say 2 and 3. Make 4-digit numbers using both the digits equal number of times.
(i) Which is the greatest number?
(ii) Which is the smallest number?
(iii} How many different numbers can you make in all?

Give five examples, where the number of things counted would be more than 6-digit number.

With same centre O, draw two circles of radii 5 cm and 5.4 cm.

Draw a circle of radius 5.2 cm and mark point P, Q and R such that
(a) P is on the circle
(b) Q is in the interior of the circle
(c) R is in the exterior of the circle.

How many lines can pass through a given point?

Which of the following has
(i) no end point?
(ii) one end point?
(iii) two end points?

Draw a line segment \(\bar{PQ}\) = 9 cm. Mark a point X on it such that PX: XQ = 1:2. Draw a line segment \(\bar{AB}\) equal to \(\bar{XQ}\) . Measure \(\bar{AB}\).

For the given figure, which one is the mirror line, I₁ or I₂?

Identify the shapes given below. Check whether, they are symmetric or not. Draw the line of symmetry as well.

How many lines of symmetry are there for the following figures?

Define symmetry.

If you are 100 cm in front of a mirror, where does your image appear to be? If you move towards the mirror, how does your image move?

In a class, there are 40 boys and 80 girls. What is ratio of the number of boys to the number of girls?

Give two equivalent ratios of 3 : 5.

Find the ratio of 40 cm to 1.5 m.

Convert the ratio 40: 35 into simplest form.

Find the value of x, if 16 : 24 : : x : 30.

Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?

Find the rule, which gives the number of matchsticks required to make the following matchstick patterns. A pattern of letter Y as
  

The sides of a square is taken as x, then find the perimeter and area of square in terms of x.

Two equal sides of as isoscales triangle are taken as a cm, and unequal side is taken as b cm. Find its perimeter in terms of a and b.

Write the statements for algebraic expression which are given below:
z÷9

If one side of an equilateral triangle is 8 cm, then find its perimeter.

Find the perimeter of the following figures

Find the perimeter of the following figures

A piece of wire is 12 cm long. What will be the length of each side, if the wire is used to form a regular hexagon?

A piece of wire is 12 cm long. What will be the length of each side, if the wire is used to form an equilateral triangle?

Using tally marks, represent the numbers as symbol, 20, 19, 22, 21.

How many values in bar graph is represented by each bar.

What is data?

What does represent in tally marks?

What are bar graphs?

Write each of the following as decimals. Fourteen point six

Write each of the following as decimals. One hundred and two ones

Write each of the following as decimals. \(\frac { 2 }{ 5 } \)

Write each of the following as decimals. \(\frac { 12 }{ 5 } \)

Write each of the following as decimals. \(4\frac { 1 }{ 2 } \)

What fraction of a day is 15 hours?

Write the fraction representing the shaded portion.

Write the fraction representing the shaded portion.

Write the fraction representing the shaded portion.

Identify the errors, if any 
 This is \(\frac { 1 }{ 2 } \)

Write the opposite of each of the following:
Profit of Rs 50

Write opposites of the following.
Increase in weight

Represent the following numbers as integers with appropriate signs. An aeroplane is flying at a height of two thousands metre above the ground.

Following is the list of temperatures of five places in India on a particular day at the year:

Write the temperatures at these places in the form of integers in the blank column. 

Write all integers between -2 and 5.

If A, B and C are three points on a line such that AB = 5 cm BC = 3 cm and AC = 8 cm, which one of them lies between the other two?

If B is the mid-point of \(\overline{ AC } \) and C is the mid-point of \(\overline{ BD } \), where A, B, C and D lie on a straight line, say why AB = CD?

Draw the line segment PQ = 5.6 cm. 

Draw a ΔABC, where AB = 4 cm, BC = 6 cm, CA = 7 cm.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it oes from 6 to 3.

How many lines can be drawn through two given points?

Write the minimum number of point of intersection of three lines in a plane.

Write the points, on the given figure.

How many diagonals, a quadrilateral have?

Is circle is a polygon?

Is there any natural number that has no predecessor?

Is there any natural number, which has no successor? Is there a last natural number?

Are all natural numbers also whole numbers?

Find the sum, using the number line 3 + 5.

Find the sum, using the number line 1 + 6.

Write first five multiples of 9

Find all the multiples of 9 upto 100

Is 29 a factor of 743067?

Is 47 a factor of 5854461?

What is the sum of any two even numbers?

Can you instantly find the greatest and the smallest numbers in the row? 1834, 75284, 111, 2333, 450.

What is 10- 1=?

Whatis 100- 1=?

Using the digits 2, 3, 9, 6, write the smallest four-digit number.

What is the place value of 6 in 65489203?

The instrument in the geometry box having the shape of a triangle is called a

Perpendicular bisector of a line segment

If the diameter of a circle is 16 cm, then what will be its radius?

A chord of a circle is a line segment with its ends point ___________.

The centre of the semi-circle (protractor) is called __________.

In the following figures, the figure that is not symmetric with respect to any line is

Which of the following letters does not have the vertical line ot symmetry?

Line of symmetry of given figure is

The number of lines of symmetry in a rectangle and a rhombus are ______ (equal/unequal).

The number of lines of symmetry in a rectangle and a square are ______. (equal / unequal).

In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?

If 7 : 30 :: x :15, then the value of x is

Avinash works as a lecturer and earns Rs.12000 per month. His wife who is a doctor earns Rs.15000per month. Find the ratio of Avinash's income to their total income.

In a school library, the ratio of Mathematics books to Science books is same as the ratio of Science books to Hindi books. If there are 450 books of Science and 300 books of Hindi, then find the number of books in Mathematics

The cost of 4 pens is Rs. 40. The cost of 11 pens is ____________

Given, expression for P divided by 15 is

Which of the following represents 6\(\times\)x?

Savitri has a sum of Rs x. She spent  Rs 1000 on grocery, Rs 500 on clothes and Rs 400 on education and received Rs 200 as a gift. How much money (in Rs ) is left with her?

An auto rickshaw charges Rs 10 for the first kilometre, then Rs 8 for each such subsequent kilometre. The total charge (in Rs) for d kilometers is ________

If 7x + 6 = 48, then the value of x is ___________

A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10m \(\times\) 5 m (see the figure). Length of the boundary of the remaining park is

The side of a square is 10 cm. How many times will the new perimeter become, if the side of the square is doubled?

The perimeter of a square, whose each side is 1m 30cm 10 mm, is

Cost of fencing a rectangular park of length 200 m and width 150 m at the rate of Rs.25 per metre is

Perimeter of an equilateral triangle =

Using tally marks, which one of the following represents the number eight?

The marks obtained by 10 students in Science test are given below:
53, 36, 95, 73, 62, 42, 25, 78, 75, 62
Answer the following questions that are related to the given data.
The minimum marks obtained by any student is

The marks obtained by 10 students in Science test are given below:
53, 36, 95, 73, 62, 42, 25, 78, 75, 62
Answer the following questions that are related to the given data.
How many students got 78 or more marks?

The choices of the fruits of 42 students in a class are as follows.
A, O, B, M, A, G, B, G, A, G, B, M, A, G, M, A, B, G, M, B, A, O, M, O, G, B, O, M, G, A, A, B, M, O, M, G, B, A, M, O, M, O
Where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively. Which fruit is liked by most of the students?

The marks obtained by 10 students in Mathematics test are given below:

Answer the following related questions:
How many students got marks below 60?

0.023 lies between

15.8 - 6.73 is equal to

Which of the following decimals is the greatest?

3-tenths =

One hundred and l-one =

The fraction which is not equal to \(\frac{4}{5}\) is

The two consecutive integers between which the fraction \(\frac{5}{7}\) lies are

________ can be expressed in form

When \(\frac{1}{7}\) is written with denominator as 56, its numerator is

If \(\frac{7}{9}=\frac{28}{p}\)  then value of p is

Every integer less than 0 has the sign

The predecessor of the integer -1 is

Amulya and Amar visited two places A and B, respectively in Kashmir and recorded the minimum temperatures on a particular day as - 4° C at A and -1° Cat B. Which of the following statements is true?

When a negative integer is subtracted from another negative integer, the sign of the result

Which of the following shows the maximum rise in temperature?

Measures of the two angles between hour and minutes hands of a clock at 9 O' clock are

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is

Where will the hand of a clock stop, if it start at 5 and makes \(\frac { 1 }{ 4 } \) of a revolution clockwise?

If you are facing South and turn through a straight angle, in which direction will you face now?

Where will the hour hand of a clock stop, if it starts at 7 and makes \(\frac { 3 }{ 4 } \) revolution clockwise?

How many points are marked in the following figure?

Number of lines passing through five points such that no three of them are collinear, is

Which of these is an example for a pair of these parallel lines?

Which of the following are the diagonals of the given polygon?

The radius of a circle is___________of its diameter.

A factor of 29161137 is

Which of the following is divisible by both 8 and 12?

State which of the following is correct prime factorisation of numbers.

Fill in the given space of prime factorisation of 47957. 7x13x ____x17

A number for which the sum of all its factors is equal to twice the number is called a ________________number.

A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is

The successor of 1 million is

The predecessor of 100 is

125 + (68 + 32) = (125 + ______ ) + 32.

The smallest 6-digit natural number ending in 5 is ____________.

Which of the following roman symbol is never repeated?

The number formed by interchanging the digits 6 and 2 in 465271 is

1 crore = _____ ten lakhs

1 million = ____ lakhs

The smallest 4-digit number with different digits is ------

A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10m \(\times\) 5 m (see the figure). Length of the boundary of the remaining park is

The perimeter of a triangle whose sides are 1.2cm, 3.4 cm and 1.7 cm, is

The perimeter of a rectangle, whose sides are 1m 30 cm and 70 cm, is

The side of a square is 10 cm. How many times will the new perimeter become, if the side of the square is doubled?

The perimeter of a square, whose each side is 1m 30cm 10 mm, is

Using tally marks, which one of the following represents the number eight?

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as given below:
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0
The number of students who obtained marks more than or equal to 5 is

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as given below:
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0
, the number of students who scored marks less than 4 is

The marks obtained by 10 students in Science test are given below:
53, 36, 95, 73, 62, 42, 25, 78, 75, 62
Answer the following questions that are related to the given data.
The maximum marks obtained by any student is

The marks obtained by 10 students in Science test are given below:
53, 36, 95, 73, 62, 42, 25, 78, 75, 62
Answer the following questions that are related to the given data.
The minimum marks obtained by any student is

0.023 lies between

0.7499 lies between

The decimal 0.238 is equal to the fraction

Which of the following decimals is the smallest?

23.564 correct to the tenths place is

The fraction which is not equal to \(\frac{4}{5}\) is

If \(\frac{5}{8} = \frac{20}{p}\)  then value of p is

The fraction representing the shaded portion

The fraction representing the shaded portion

is

What fraction of Rs. 1 is 25 paise?

Every integer less than 0 has the sign

The integer '5 units to the right of 0 on the number line' is

The predecessor of the integer -1 is

Number of integers lying between -2 and 2 is

Number of whole numbers lying between -7 and 6 is

Measures of the two angles between hour and minutes hands of a clock at 9 O' clock are

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is

Where will the hand of a clock stop, if it start at 5 and makes \(\frac { 1 }{ 4 } \) of a revolution clockwise?

The angle measure for half a revolution is

The angle measure for one-fourth revolution is

Number of lines passing through five points such that no three of them are collinear, is

Which of the following has two end points?

Which of these is an example for a pair of these parallel lines?

The least number of line segment required to make a polygon is

Which of the following is not a polygon?

A factor of 29161137 is

Using divisibility tests, determine which of the following numbers is divisible by 2?

State which of the following is correct prime factorisation of numbers.

State which of the following is correct prime factorisation of the numbers.

Which of the following is not co-prime?

The product of non-zero whole number and its successor is always

A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is

The whole number which has no predecessor is

The successor of 1 million is

Which of the following is not zero?

The greatest natural number is

Which of the following roman symbol is never repeated?

The number formed by interchanging the digits 6 and 2 in 465271 is

The greatest of the numbers 1000, 10000, 10, 1000000, 100000 is

The smallest of the number 1000, 50000, 111, 3222, 225 is

The instrument in the geometry box having the shape of a triangle is called a

The instrument to draw a circle is

Perpendicular bisector of a line segment

Which of the following angles can be drawn with the help of a compass?

If the diameter of a circle is 16 cm, then what will be its radius?

The number of lines of symmetry in a scalene triangle is

The number of lines of symmetry in a circle is

How many lines of symmetry are there in the given figure?

How many lines of symmetry does the figure have?

How many lines of symmetry does a regular hexagon have?

The ratio of 6 books to 30 books is

Mathematics textbook for Class VI has 320 pages. The chapter 'Symmetry' runs from page 261 to page 272. The ratio of the number of pages of this chapter to the total number of pages of the book is

Ifa bus travels 160 km in 4 h and a train travels 320 km in 5 h at uniform speeds, then the ratio of the distances travelled by them in one hour is

In a school library, the ratio of Mathematics books to Science books is same as the ratio of Science books to Hindi books. If there are 450 books of Science and 300 books of Hindi, then find the number of books in Mathematics

There are 30 boys and 20 girls in a class. The ratio of the number of girls to the number of boys is

Given, expression for P divided by 15 is

If x takes the value 3, then x + 12 is

The rule, which gives the number of matchsticks required to make the matchstick pattern L, is

The rule, which gives the number of matchsticks required to make the matchstick pattern ◻️ is

The side of a square is I. Its perimeter is

Following figures are formed by joining six unit squares. Which figure has the smallest perimeter?

The side of a square is 10 cm. How many times will the new perimeter become, if the side of the square is doubled?

The perimeter of an equilateral triangle of side 5 cm each is

Perimeter of a rectangle =

The perimeter of an equilateral triangle of side 1 m is