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The perimeter of the given polygon (in centimeters) is ___ cm.

1. 6

Question 8

In the given figure, PB = PD. The value of x is

a) ${85}^{\circ }$
b) ${90}^{\circ }$
c) ${25}^{\circ }$
d) ${35}^{\circ }$

Find: (–32) – (–40)

1. 19

Question 81 (ii)

Add :

$9ax+3by-cz,-5by+ax+3cz$

Ram buys 40 pencils for ₹ 80 and sells 30 of them for ₹ 90. Find his profit or loss percent.

Ravi has 50 rupees with him he buys a top up -20₹ and balance ₹30.Then he buys tea -15₹ and get 15 balance ;pen cost 9 and received 6₹ as balance and he also buys a chocolate for 6₹ and balance 0₹ ! . when we add his total expenditure its ₹50 but when we add his total balance its ₹51 how is this happened? ?

Question 93(ii)
Draw the top, side and front views of the solid figure given below.

In a triangle ABC, angels A, B, C are in the ratio 1:2:3.Find the angles. How do you solve this?

A rectangle whose length and breadth are 5 and 3 units respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?

​If $8^{100}\times m^{100}={56}^{100}$, then find the value of m.

Koushal starts from point A and moves 5 metres towards right. Then, he moves 25 metres towards left. Find his final position with respect to the starting point.

If Steady uses $\frac{7}{10}$ of dark chocolate and $\frac{2}{10}$ of white chocolate to bake a pie, how much chocolate does he use in all?

The original price of a bulb is $\$15$ and the shopkeeper allows a discount of 20% on it. Find the selling price of the bulb.

The value of $(\frac{7}{12}\times \frac{1}{3})÷(\frac{4}{9}+\frac{1}{2})$ is

Which of the following pair of numbers is not divisible by $9.$

{(-13)+27 } +(_41) =(-13) +{27 + (_) =

Rotate the figure given below 90 degrees clockwise about the black point.

Question 27

In a medical examination of students of a class, the following blood groups are recorded.



$\begin{array}{ccccc}\text{Blood group}& A& AB& B& O\\ \text{Number of}& 10& 13& 12& 5\\ \text{students}& & & & \end{array}$



A student is selected at random from the class. The probability that he/she has blood group B is:



A) $\frac{1}{4}$

B) $\frac{13}{40}$

C) $\frac{3}{10}$

D) $\frac{1}{8}$

Express each of the following in simplest form

12.725

Ali finds a treasure box full of gold and silver.

If the total weight of silver is $4.6\times {10}^6$, the weight of gold present in the box is .

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

25 cm : 1 m and Rs. 40 : Rs. 160

A cake recipe says that you need to put $3$ bowls of sugar for every $5$ bowls of flour. However, for an upcoming party, you need a bigger cake. If you use $20$ bowls of flour, how much sugar is required?

Question 85 (a)

Evaluate
$\frac{7^8\times a^{10}{b}^7{c}^{12}}{7^6\times a^8{b}^4{c}^{12}}$

What will be the result of the $2\times (-(-3\left)\right)\times (-2)$? [3 MARKS]

Find the arithmetic mean of 2, 4, 6, 8, 10.

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If $\angle DQX=x^{\circ }$ then $\angle APY=$ ___.

Solve the following.

The hockey team of a school won 12 matches and lost 3 matches. Express the number of matches won in percentage.

Productivity is ___ proportional to the number of people/resources indulged in a work.

A sum of ₹7,000 is divided among A, B, and C in the ratio 8 : 12 : 20. Find C's share.

The value of $({\left(\frac{3}{2}{)}^{-1}\right)}^{-2}$ is .

Express the rational number $\frac{246}{166}$ to the lowest form.

If 6x + 2 = 20, then what is the value of x?