\(a \times (b \times c)=(a \times b) \times c\) is called

Which of the following is the standard form of 0.00001275?

The perfect square number out of 2, 3, 4 and 5 is

Which of the following numbers is not divisible by 9 ?

The one's digit of the cube of the number 50 is

Monthly salary of a person is Rs 45000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°. The amount he spends on food and house rent is

Read the graph and answer the related question:

The fall in interest from 2001 to 2002 was

The digit in the ten's place of a two-digit number is 3 more than the digit in the unit's place. If the digit at unit's place be b. Then, the number is

Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides?

The measures of two adjacant angles of a parallelogram are in the ratio 4: 5. The measure of each of the angles of the parallelogram is :

VAT is always calculated on which of the following?

The sum of 8pq and -17pq is

Which amongst the following is not a polyhedron?

The diagram

has the shape of a

If amount of work completed by 'A' in one day is \(\frac { 1 }{ n } \)  then the whole work will be finished by 'A' is:

Which of the following is equal to x³ - 225x

\(\frac{3}{8} \times\) _________ =\(1 \times \frac{3}{8}=\frac{3}{8}\).

The distance of the sum from the earth is 149,600,000,000 m. Express it in a standard form.

Find the square of the following numbers. 21

Write the following number in usual form: 100 x 7 + 10 x 0 + 6

Find the cube of \(5\frac { 2 }{ 7 } \).

Suppose you spin the wheel.

List the number of outcomes of getting a green sector and not getting a green sector on this wheel (in the above figure).

The following table gives the body temperature in ^oF corresponding to ^oC. Draw the graph using the table and answer the questions that follow:

(a) What will be the temperature in ^oF, when it is 10^oC?
(b) What will be the temperature in ^oC, when it is 68^oF?

Find the value of a, if 6(3a -1)+ 3(2a + 3)= 1-7a.

Can you find how these types of polygons differ from one another?

Can you construct the quadrilateral MIST, if we have 100° at \(\angle \)M instead of 75°. In the quadrilateral MIST, where MI = 3.5 cm, IS = 6.5 cm, \(\angle \)M = 75°, \(\angle \)I = 105° and \(\angle \)S = 120°?

A TV set was bought for Rs 26250 including 5% VAT. Then find the original price of the TV set

Simplify:(1.5x- 4y) (1.5x+ 4y+ 3) - 4.5x + 12y

Look at the map given below:
Houses
B Town, India

On which road, bank is situated?

What will be the curved surface area of a right circular cylinder having length 160 cm and radius of the base 7 cm?

Suppose 2 kg of sugar contains 9 X 10⁶ crystals. How many sugar crystals are there in 1.2 kg of sugar?

Find and correct the errors in the following mathematical statements. x (3x+ 2)= 3x² + 2

Solve \({4\over7}+(-{4\over9})+{3\over7}+(-{13\over9})\)

If \(\frac{6^{n}}{6^{-2}}=6^{3}\),then find the value of n.

Using distributive law, find the square of 43.

Check what the result would have been if Sundaram had chosen the number shown below: 632

Without finding the prime factors, estimate the cube roots of the following cubes:148877

Read the following pictograph and answer the following questions.

(i) How many cars were produced in the month of July?
(ii) In which month were maximum number of cars produced?

The following graph shows the temperature forecast and the actual temperature for each day of a week.
(a) On which days was the forecast temperature the same as the actual temperature?
(b) What was the maximum forecast temperature during the week?
(c) What was the minimum actual temperature during the week?
(d) On which day did the actual temperature differ the most from the forecast temperature?

Solve the following equation \(​​\)\({z\over z+15}={4\over 9}\)

Find the value of x in the trapezium ABCD given below .

 Construct a quadrilateral RAIL, where RA = 6 cm, AI = 4.5 cm, \(\angle\)R = 60°, \(\angle\)A = 105° and \(\angle\)I = 110°.

Ranjit works in a multinational company as a senior executive with annual package of 12 lakh. He pays income tax regularly and donates 5% of his annual earning to an orphanage.
What amount of money he donate?

Simplify the following:\(\left( \frac { x }{ 5 } -\frac { 1 }{ 2 } \right) \left( \frac { 1 }{ 2 } +\frac { x }{ 5 } \right) \)

How many faces does the following solids have?
Hexahedron

Find the radius of the base of a cylinder whose volume and height are 1.54 m² and 1 m respectively.

Think of a few more examples for direct proportion.

Find the value of a, if pqa=(3p+q)²-(3p-q)²

Leela invited some friends for tea on her birthday. Her mother placed some plates and some puris on a table to be served. If Leela places 4 puris in each plate 1 plate would be left empty. But if she places 3 puris in each plate 1puri would be left. Find the number of plates and number of puris on the table.

Present the following data in the form of a grouped frequency distribution table having 6 classes of equal size (one of the class being 40-48):

Solve the following linear equations:
m-\(\frac{m-1}{2}\)=1-\(\frac{m-2}{2}\)

Take a clock and fix its minute hand at 12.
Record the angle turned through by the minute hand from its original position and the time that has passed, in the following table:

What do you observe about T and A? Do they increase together? Is \(T\over A\) same every time?

Is the angle turned through by the minute hand directly proportional to the time that has passed? Yes; From the above table, you can also see
T₁ : T₂ = A₁ A₂, because
T₁ : T₂ = 15 30= 1 :2
A₁ : A₂ = 90 180 = 1 :2
Check if T₂: T₃ = A₂ A₃ and T₃ : T₄ = A₃ : A₄
You can repeat this activity by choosing your own time interval.

Find three rational numbers between \(\frac { 1 }{ 2 } \) and (-2)

Write each of the following numbers in usual form.
7.36x10⁵

Find the square roots of 100 by the method of repeated subtraction.

212x5 is a multiple of 3 and 11. Find the value of x.

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

Draw an appropriate graph to represent the given information.

Sonal and Anmol made sequence of the designs. Three of the designs are shown below:

(a) Complete the table.

(b) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put, the number of rows on the horizontal axis.
(c) Which graph is linear? 

Hamid has three boxes of different fruits. Box A weights 2\(\frac { 1 }{ 2 } \) kg more than box B and box C weights 10 \(\frac { 1 }{ 4 } \)  kg more than box B. The total  weights of the three boxes is 48\(\frac { 3 }{ 4 } \)  How  many kilograms does box A weigh?  

Consider the following parallelograms. Find the values of the unknowns x, y and z.

Government plans to make flats, children's playground, dispensary and space for greenery in a plane field, which is in rectangular shape ABCD with length AB = 800 m, breadth AD = 600 m. He distributed the triangular region ABC divided by diagonal AC for flats. He make altitude MD on AC, where M is a point on AC and give triangular area AMD for greenery. Further, make altitude MN on CD and distribute triangular region MND and MNC for dispensary and children's play ground respectively. Then, construct the figure from above data and what type of value depicted by government?

Find CI on a sum of Rs 8000 for 2 yr at 5% per annum compounded annually.

Evaluate using suitable identities.
(i) (48)²
(ii) 181²-19²
(iii) 497 x 505
(iv) 2.07 x 1.93

Name the following polyhedrons and verify the Euler's formula for each of them.

A rectangular park, whose length is 30 m and width is 20 m is shown in the following figure
(i) What is the total length of the fence surrounding it?
(ii) How much land is occupied by the park?
(iii) A path of 1 m width running inside along the perimeter of the park has to be cemented. How many bags of cement would be required to construct the cemented path, if 1 bag of cement is required to cement 4 m²area?
(iv) There are two rectangular flower beds of size 1.5 m \(\times\) 2 m each in the park as shown in the given figure and the rest has grass on it. Find the area covered by grass.

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

The area of a circle is given by the expression \(\pi { x }^{ 2 }+6\pi { x }^{ 2 }-9\pi \) sq unit. Find the perimeter of the circle, if x is the radius of the circle.