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Write the exponential form of $512\times 625$

The following figure is ____ .

Which of the following illustrates the distributive property?

The correct representation of three sets $A=\{q,w,e,r,t\}$

$B=\{r,t,y,u,i\}\&C=\{u,q,o,p,t\}$ is

Simplify $(x+3)(x+5)$.

A polyhedron with 7 faces and 10 vertices will have ______ edges

If the radius of each circle in the image is 6 cm, what is the area (in $c{m}^2$) of the quadrilateral formed by joining the centres of the circles?

Question 52

State whether the statement is True or False.

One-third of a number added to itself gives 10, can be represented as $\frac{x}{3}+10=x$.

Write the following sets in rule method.

K = {5, 10, 15, 20, 25 ………….}

In the figure, ABCD is a parallelogram and AB = 6 cm. If the area of triangle ADE is $\frac{3}{4}$ that of parallelogram ABCD, find the length of BE. [1 MARK]

By what number should $\frac{-22}{7}$ be divided to get $\frac{-11}{14}$?

$\text{m and n are two rational numbers such that}m\times n=-\frac{25}{9.}\left(i\right)\text{if}m=\frac{5}{3},\text{find n,}\left(ii\right)\text{if}n=-\frac{10}{9},\text{find m,}$

Which among the following statements is/are correct for the figure given below?

In ΔPQR,
D is the mid-point of
.

is
__________.

PD is
__________.

Is QM =
MR?

Question 71

The interest received by Karim is Rs. 30 more than that of Ramesh. If the total interest received by them is Rs. 70, find the interest received by Ramesh.

Is it possible to construct an equilateral triangle without using protractor? Why is the method of ${60}^{\circ }$ angle construction the best method for this?
[1 MARK]

Question 86

In the following question, state whether the given statements are true (T) or false (F).

The standard form for 203000 is $2.03\times {10}^5.$

A company produces 50 tablets daily out of which 3 tablets fail the quality test.

Then the percentage of the tablets that failed the test is

Question 117
Tell whether each figure has rotational symmetry or not.

Use isometric dot paper
and make an isometric sketch for each one of the given shapes:

Give one equivalent proportion of 2 : 3

What is the product of 2x and 5x?

Question 2

Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?

(a) 12 and 5

(b) 15 and 4

(c) 25 and 2.4

(d) 45 and 1.3

Question : 8

For any two integers $xandy$, which of the following suggests that operation of addition is commutative ?

(a)$x+y=y+x$

(b)$x+y>x$

(c)$x-y=y-x$

(d) $xy=yx$

A function $y=f\left(x\right)$ satisfies $(x+1)f^{{}^{\prime }}\left(x\right)-2(x^2+x)f\left(x\right)=\frac{e^{x^2}}{(x+1)},\forall x>-1.$

If $f\left(0\right)=5$, then the function $f\left(x\right)$ is obtained as:

Which of the following is a perfect square number?