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The volume of a sphere is directly proportional to the cube of its radius. If the volumes of two spheres are in ratio $8:1$, what is the ratio of the radii of the spheres?

There is a quadrilateral made by attaching 2 congruent triangles. Two of its sides are 2 and 3 units. What can the 3^rd side be?

A triangle is having sides 3cm, 4cm, 5cm in length. The greatest angle of this triangle is ___ .

Find the Principal.

Simple interest = Rs. 625; time = 5 years; rate of interest = 10% p.a

How does fourths of a sandwich look like?

Question 10

Only one of the four options is correct. Write the correct one.

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

a) 1 : 2

b) 4 : 5

c) 5 : 8

d) 8 : 5

Question 6(a):

Consider the following figure of line $\overleftrightarrow{MN}$. Say whether following statement is true or false in the context of the given figure:







Q, M, O, N, P are points on the line $\overleftrightarrow{MN}$

Area of a circle of radius r is _______ .

Sort the following negative integers in ascending order from top to bottom.

Find the product of $4x^{3}y$ and $2x^2{y}^2$.

Question 3(iii)

Find the value of:

${\left(\frac{1}{2}\right)}^{-2}+{\left(\frac{1}{3}\right)}^{-2}+{\left(\frac{1}{4}\right)}^{-2}$

Subtract the product of $3\frac{1}{2}$ and $\frac{2}{5}$ from $\frac{7}{5}$.

In the given figure, which of the following form pair of adjacent angles?

Get the algebraic expression in the following case using variables, constants, and arithmetic operations:

Product of numbers y and z subtracted from 10.

1. 14

Here is an incomplete
net for making a cube. Complete it in at least two different ways.
Remember that a cube has six faces. How many are there in the net
here? (Give two separate diagrams. If you like, you may use a squared
sheet for easy manipulation.)

Which of the following inequality implies that $x$ is less than or equal to $-2?$

Which of the following will have 1 in its unit's place?

The value of $=\sqrt{1\frac{7}{9}}$ is equal to

In a regular polygon, if the ratio of the interior and exterior angle is 3 : 1, then find the difference between the interior and exterior angle of the polygon.

A circular cake is to be equally distributed among 12 friends. If the cake has to be cut along its radius, what is the angle between consecutive cuts?

If a box of sweets is divided among 24 children, they will get 5 sweets each. If the number of the children is reduced by 4 , then each would get ___ .

Convert the following numbers into base 5 system.

(a) 19

(b) 37

(c) 48

Question 20

In the given figure, a and b are

(a) alternate exterior angles
(b) corresponding angles
(c) alternate interior angles
(d) vertically opposite angles

Which of the following is a major aspect of personal hygiene?

The lines of symmetry of a regular polygon with $n$ sides divide the polygon into __ triangles.

Question 66

Solve the following:

1-(x-2)-[(x-3)-(x-1)]=0

Javed was
given
of
a basket of oranges. What fraction of oranges was left in the basket?

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed $\frac{2}{5}$ of the water. Pratap consumed the remaining water.

(i) How much water did Vidya drink?

(ii) What fraction of the total quantity of water did Pratap drink?

In $\Delta$ ABC, AB=AC and AD is perpendicular to BC. State the property by which $\Delta$ ABC $\cong$ $\Delta$ ADC.