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1. 45

In $\Delta ABC$, $AB=AC,\angle A={40}^{\circ }$. $O$ is a point inside $\Delta ABC$ such that $\angle OBC=\angle OCA$. Find the measure of $\angle BOC$.

Convert the decimal $2.83333\dots$ into a fraction

If

K ∩ M = M ∩ K

The number of whole numbers and integers between -2 and 3 are ___ and ___ respectively (Write it in numeric).

Simplified form of the algebraic expression $\frac{5x}{3}-\frac{2x}{3}$ is

If $A\cap B^{\prime }=\Phi ,$ show that $A=A\cap B$ and hence show that $A\subseteq B.$

Check whether the following numbers are in proportion or not

1)½,1/5,1/6,1/15

Choose the number which are divisible by $15$.

Show that every positive integer is either even or odd.

Question 66 (c)

Find the value of the given polynomial at a = -2 and b = 3.

$a^3+3a^{2}b+3a{b}^2+b^3$

Mark the option with correct prime factorization.

Solve the given equation by undoing the operations:

$x+5=0$

Question 12

Find the measure of $\angle P$ and $\angle S$ if SP || RQ. (If you find m$\angle R$ , is there more than one method to find m$\angle P$ ?

Question 100
Construct an obtuse-angled triangle which has a base of 5.5 cm and base angles of ${30}^{\circ }$ and ${120}^{\circ }$.

If the diameter of the circle is 8 cm, what is the perimeter of the triangle (in cm)?

On Diwali, Ted’s mom made a colorful rangoli as shown in the figure. The bigger square measured 30 cm by 30 cm and the smaller square measured 15 cm by 15 cm. What was the area of the orange colored part?

Music players of different brands are available in an online shop as given. What is the probability that a customer orders a brand 'B' type of music player?

Question 10.

A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

The table below gives the flavours of ice-cream liked by children (boy and girls) of a society.

Study the table and answer the following questions:
Find the ratio fo children who liked strawberry flavour to Vanilla flavour of ice-cream

For every n whole numbers,what is the range?

Using associative property, the expression $\frac{a}{b}+\left(\frac{1}{2}+\frac{c}{d}\right)+\frac{e}{f}$ can also be written as

8.4 $÷$ _____ = 2.1

The three sides of a triangle are 3 cm, 4 cm and 5 cm. What type of triangle is this?

In the given figure, If $PQ\parallel RS$, prove that $\Delta POQ\sim \Delta SOR$.

[2 MARKS]

The quantity of pecans harvested is shown in the table below:



How many trees produced the fewest number of pecans? Also, find how many trees produced more than 1600 pecans?

The angle which makes a linear pair with an angle of ${61}^{\circ }$ is of

Question 48

If $\Delta PQR$ is congruent to $\Delta STU$ as shown in the given figure, then what is the length of TU?

a) 5 cm
b) 6 cm
c) 7 cm
d) Cannot be determined

The given table shows number of students in a class.

Which of the following bar graph represents the data correctly?

Scale: 1 unit = 10 children

If $5xy$ is multiplied by $4ab$, then find the coefficient of $xy$.

(a) In a square, red balls are arranged along one diagonal and yellow balls are arranged along another diagonal. Find the rotational symmetry of the given arrangement?

(b) If ‘X’ is the order of rotation of a regular polygon with ‘n’ sides and ‘Y’ is the number of angles of rotation, what is the value of (X – Y – 1)? [4 MARKS]

Find:

(i) 7 ÷
3.5 (ii) 36 ÷
0.2 (iii) 3.25 ÷ 0.5

(iv) 30.94
÷ 0.7 (v) 0.5 ÷
0.25 (vi) 7.75 ÷ 0.25

(vii) 76.5
÷ 0.15 (viii) 37.8 ÷
1.4 (ix) 2.73 ÷ 1.3