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Question 5(i)
Express each of the following as the product of powers of their prime factors:
(i) 648

How do we draw an angle of?

Match the following expressions using suitable identities.

Question 72

In 2007-08, the number of students appeared for Class X examination was 105332 and in 2008-09 the number was 116054. If 88151 students pass the examination in 2007-08 and 103804 students in 2008-09. What is the increase or decrease in pass percentage in class X result?

For the following figures, match with the correct number of insides:

Question 2

Write the correct answer from the given four options.

Which of the following is a square of an even number?

a) 144

b) 169

c) 441

d) 625

Question 14

A jacket was sold for Rs 1120 after allowing a discount of 20%. The marked price of the jacket is

(a) Rs 1440

(b) Rs 1400

(c) Rs 960

(d) Rs 866.66

The given figure represents,

4 oxen or 12 cows can graze a field in 32 days. How long would 7 oxen and 3 cows take to graze the same field?

Question 1

The blood groups of 30 students are recorded as follows

A, B, O, A, AB, O, A, B, A, O, B, A, AB, B, A, AB, B, A, A, O, A, AB, B, A, O, B, A, B, A

Prepare a frequency distribution table for the data.

Question 10.2 .

Two persons could fit new windows in a house in 3 days.

How many persons would be needed to fit the windows in one day?

If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle(in m²)?

Area of the given figure is .

Suppose the area of a square field is 7396 m². Find its perimeter.

If $x+y\sqrt{2}=\frac{6+3\sqrt{2}}{8+5\sqrt{2}}$, then what will be the values of $x$ and $y$?

At Srinagar temperature was $-{15}^o$ on Monday and then it dropped by $2^o$ on Tuesday. On Wednesday, it rose by ${11}^o$. What was the temperature on this day?

The area of a square field is $325m^2$.Find the approximate length of one side of the field.

The number of vertices on a pyramid with square base is

The value of $x$ which satisfies the equation $ax+b=0,a\ne 0$ is known as

To construct an angle of ${60}^{\circ }$ with a compass and ruler,

Steps of construction are:

Step1: Draw a ray AB

Step 2 will be

PLS show with working.......

1) Find the cube root of:

i) 0.000125

John take a survey with five “yes” or “no” answers. Number of different ways could he complete the survey is

$(x+y)(x-y)(x^2+y^2)$ = ___________.

If the measurement of sides of a quadrilateral are given as AB = 4cm, CD = 5 cm, and angles are given as $\angle ABC=$ ${75}^{\circ }$, $\angle BCD=$ ${45}^{\circ }$ and $\angle CDA=$ ${135}^{\circ }$, can you construct a unique quadrilateral ABCD?

Question 26

Factorise the following:

(i) $4x^2+20x+25$



(ii) $9y^2–66yz+121z^2$



(iii) ${(2x+\frac{1}{3})}^2-{(x-\frac{1}{2})}^2$

Four alternative options are given for each of the following statements.

Select the correct option.

By selling note book for Rs 22 a shopkeeper gains 10%. The cost price of the book is:

A. Rs 18

B. Rs 30

C. Rs 20

D. Rs 22

What is the degree of the polynomial $f\left(x\right)=x^2-5x+6$ ?