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Find the number of lines of symmetry for the following figure. [3 MARKS]

Find the quotient : $4m^4{n}^4–8m^3{n}^4+6m{n}^3$ by -2mn

Which of the following is the correct expansion of the given identity?

$(a^2-b^2)$

Three cuboids of dimensions $5cm\times 6cm\times 7cm,4cm\times 7cm\times 8cm\times$ and $2cm\times 3cm\times 13cm$ are melted and a cube is made. Find the of cube.

Question 2
Construct the Quadrilateral GOLD where

OL=7.5 cm, GL=6cm, LD=5cm, OD=10 cm

In the given figure if AB = AC and AD bisects $\angle BAC$, then which of the following is false?

Question 1(iii)

Multiply the binomials:

(2.5l-0.5m) and ( 2.5l+0.5m)

1. 65

Question 20

For non-zero numbers $a$ and $b$, ${\left(\frac{a}{b}\right)}^m÷{\left(\frac{a}{b}\right)}^n,$ where $m>n,$ is equal to:
(a)${\left(\frac{a}{b}\right)}^{mn}$
(b)${\left(\frac{a}{b}\right)}^{m+n}$
(c)${\left(\frac{a}{b}\right)}^{m-n}$
(d)${\left({\left(\frac{a}{b}\right)}^m\right)}^n$

Question 63

State whether the following statement is true or false:

1000 is a perfect square.

One cubic meter, expressed in cubic centimetre, is equal to

$3x^3+2x^2+3x+2$=?

(a) $(3x-2)(x^2-1)$

(b) $(3x-2)(x^2+1)$

(c) $(3x+2)(x^2-1)$

(d) $(3x+2)(x^2+1)$

Question 3
Find the values of the letters in the following and give reasons for the steps involved.
$1A$
$\underset{–}{\times A}$
$\underset{–}{9A}$

Let $n(A-B)=25+x,n(B-A)=2x$ and $n(A\cap B)=2x.$ If $n\left(A\right)=2\left(n\right(B\left)\right),$ then $x$ = ___.

Compound interest for a certain sum of money for two years is 10% per annum is ₹ 315. Find the sum of money.

The number of tourists visiting the museum on different days of the week is depicted as follows:





Find the outlier and the median of this data without outlier.

Question 84

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

The exponential form for
$(-2{)}^4\times {\left(\frac{5}{2}\right)}^{4}is(5^4).$

The smallest number among $-\frac{2}{3}$,$-\frac{9}{6}$,$-\frac{5}{2}$ and $-\frac{3}{4}$ is .

A father is 7 times as old as his son. 2 years ago the father was 13 times as old as his son. How old are they now?

Question 80

Solve the following:

Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer.

Find the measure of each exterior angle of a regular (i) pentagon (ii) hexagon (iii) heptagon (iv) decagon (v) polygon of 15 sides.

In the figure, AB = AC and AD || BC, find the respective measures of x, y and z.

Evaluate : $\frac{x^{5+n}(x^2{)}^{3n+1}}{x^{7n-2}}$

For which of the following value(s) of $n$, $(\frac{6}{n})!$ will be defined?

Find the value of $x$ in each figure.

What is the reciprocal of -8?

How many lines of symmetry does an equilateral triangle have? [1 MARK]

The graph below shows average height of girls at different ages. What will be the age of the girl whose height is 65 inches?