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Which of the following shows $1\frac{1}{4}$ and $2\frac{5}{8}$ on a number line?

The area of an equilateral triangle of side $\text{8 cm}$ is ${cm}^2$.

$3\frac{3}{4}$ =

Match the angles given in the figures with their associated values.

The shortest distance between city X and city Y is 100 miles. The shortest distance between city Y and city Z is 450 miles. What can be the distance, in miles, between city X and city Z?

Write down
the measures of

(a) Some
acute angles. (b) Some obtuse angles.

(Give at
least two examples of each).

Question 6

Draw an angle of measure ${45}^{\circ }$ and bisect it.

The numerator and the denominator of a fraction are only whole numbers? In other words, aren't they supposed to be integer of decimals like rational numbers?

Which of the following number line represents the solution of the inequation:
$5x-13>-18,$( $x$ is an integer less than 5)?

If $a!=a(a-1)(a-2)(a-3)...1$, then find $X+Y+Z$, given that $XYZ$ is a three digit number such that $XYZ=X!+Y!+Z!$.

(-8) ÷ 0 = ......

If $a+5+(-4)=12$, then the value of $a$ is

Factorize : $4x^{2}y-6x^2$

The area of the given rectangle is sq cm.

1. 1

A coin is flipped and a dice is rolled simultaneously. What is the probability of getting tail on the coin and number '4' on the dice?

Rahul found 3 pairs of wooden ice-cream sticks in which the sticks in each pair are of the same length as shown below.

Rahul took one stick each from each pair and made a triangle. Likewise, his friend Arjun made another triangle which looked exactly same with the remaining sticks. They realized both these triangles have the same perimeter and are congruent under the ___________ criterion of congruence.

Select the rational numbers which lie between $\frac{2}{5}$ and $\frac{3}{10}$. Use the LCM method.

Find the greatest rational number among the given options.

Question 5 (vi)

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:

768

A triangle having sides measuring 5 cm, 11 cm and 13 cm is _______ triangle.

Choose the figure in which the ratio of apples to bananas is $3:2.$

Question 7

Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is

a) Obtuse-angled triangle
b) Acute angled triangle
c) Right angled triangle
d) An isosceles right triangle.

Find the sum of $\frac{a^2}{2}+\frac{b^3}{3}-\frac{c^3}{4};\frac{2a^2}{3}+\frac{3b^3}{4}-\frac{4c^3}{5}$ and $a^2+b^3+c^3$.

A number consists of two digits whose sum is 5. If the unit's digit is multiplied by $\frac{9}{2}$, it will be equal to three times the ten's digit. Find the number.

$\text{Divide}:\left(i\right)3\text{~}by\frac{1}{3}\left(ii\right)-2\text{~}by(-\frac{1}{2})\left(iii\right)0\text{by}\frac{7}{-9}\left(iv\right)\frac{-5}{8}\text{by}\frac{1}{4}\left(v\right)-\frac{3}{4}\text{by}-\frac{9}{16}$

A bag contains $5\frac{1}{6}$ kg flour. Ruby used $3\frac{1}{3}$ kg to bake a cake. How much flour is left in the bag?

Which among the following is the standard form of $\frac{36}{100}$.

If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of $a$ is ___ .

Simplify
the expression and find its value when a = 5 and b =
−3.

2 (a²
+ ab) + 3 − ab