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Question 72

Find the perimeter of the given figure.

Which of the following would always be a rational number, provided $a$ and $b$ are rational numbers?

Factorise Completely : $x^2-y^2-3x-3y$

Which of the following is the side view of the given figure?

Just by looking at the numbers, identify which of the following can not be a perfect square.

The cardinal number of the set A = {Present President of India} is

Mohan gets 1,350 from Geeta and 650 from Rohit. Out of the total money that Mohan gets from Geeta and Rohit, what percent does he get from Rohit ?

What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

In the frequency distribution table for the following weights (in grams) of 35 mangoes, of equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table?

Let PQRS be a parallelogram with PQ = 10 cm and QR = 6 cm. Calculate the measures of the other two sides and the perimeter of PQRS.

If $\frac{4x+8}{5x+8}=\frac{5}{6}$, then x = ?

(a) 4

(b) 6

(c) 8

(d) 12

Question 64

In the following question, fill in the blanks to make the statements true.

The value of $(-7{)}^6÷7^6$ is ___ .

Question 4(vi)
Simplify:
$(ab+bc{)}^2-2a{b}^{2}c$

The following number is obviously not a perfect square. Give reasons.

222222

In how many different ways can the letters of the word $CHASE$ be arranged such that the vowels always come together.

In a triangle ABC, ∠A = 110° and AB = AC. Find ∠B and ∠C.

In which direction(s) does a plane extend?

Using identities, evaluate:
${8.9}^2$

Find the
area of the parallelogram whose adjacent sides are determined by the
vector
.

Which of the following forms a Pythagorean triplet?

Draw a bar graph for the following information. [3 MARKS]

$\begin{array}{ccc}\text{Name}& \text{Practise Test}& \text{Test}\\ \text{Ram}& \text{30}& \text{40}\\ \text{Rajat}& \text{82}& \text{90}\\ \text{Sandeep}& \text{32}& \text{56}\\ \text{Ranga}& \text{15}& \text{45}\end{array}$

A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of t 3000. A will get

(a) Rs 1200

(b) Rs 1500

(c) Rs 1800

(d) Rs 2000

If X varies inversely as y and y = 60 when X=1.5 . Find X when y is = 4.5 .

A shirt costs Rs. 2000 after giving a discount of 20%. The list price of the shirt is Rs ___ .

When a rational number is subtracted from $20\frac{3}{5}$ , it yields $18\frac{2}{3}$. The rational number will be .

Question 66

Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area of each sail of the sailboats to the nearest tenth.

Question 22

x and y are said to vary directly with each other, if for, some positive number k,___ =k.

The perimeter of a rectangular swimming pool is $64m$. If its length and breadth are in the ratio of $5:3$, then find the length of the pool (in metre).

$If{x}^2+y^2=29andxy=2,\text{find the value of}$

$\left(i\right)x+y$ $\left(ii\right)x-y$ $\left(iii\right)x^4+y^4$

Find the product.

(i) (a²)
× (2a²²) × (4a²⁶)

(ii)

(iii)

(iv) x
× x²
× x³
× x⁴

Solve the following equations and verify your answer :

$\frac{2x-3}{3x+2}=-\frac{2}{3}$