Introduction

Q.

find the value of ‘?’ in this series.

3, 6, 11, 18, 27, ?, 51

1. 40
2. 42
3. 38
4. 32

Q.

Find the least number of square tiles of equal dimensions required to pave the floor of a room 4.03 m long and 2.17 m broad.

Q.

A lending library has a fixed charge for the first two days and an additional charge for each day thereafter. Sunil paid Rs 28 for a book kept for seven days, while Sohail paid Rs 32 for the book he kept for nine days. Find the charge for each extra day.

1. Rs 3

2. Rs 20

3. Rs 18

4. Rs 2

Q.

What are dimensions in math?

Q.

The magnitude of measure of a planar region is called its.

1. Volume

2. Area

3. Height

4. Perimeter

Q.

Question 2 (i)
Find: $9^{\frac{3}{2}}$

Q.

The supplement of 65 degrees is

1. 35 degrees

2. 115 degrees

3. 135 degrees

4. 65 degrees

Q. Question 97

The side of a square board is 50 cm. A student has to draw its image in her notebook. If the drawing of the square board in the notebook has perimeter of 40 cm, then by which scale the figure has been drawn?

Q.

Question 2 (iii)
Find: ${16}^{\frac{3}{4}}$

Q. The region occupied by a simple closed figure in a plane is called. What ?

Q.

Tick ($\surd$)the correct answer in each of the following:

The supplementary angle of$75°$ is:

1. $15°$

2. $25°$

3. $105°$

4. $115°$

Q.

From the adjoining figure AB || DE. Then the value of $x^{\circ }$ is:

1. 25°

2. 35°

3. 45°

4. 55°

Q. In $30$ minutes, the hours hand of a clock turns through:

1. $\pi /6$ radians
2. $\pi /24$ radians
3. $\pi /12$ radians
4. $\pi$ radians

Q.

If a set has 63 proper subsets, then it contains _____ elements.

1. 8

2. 6

3. 5

4. 1

Q.

A water container can hold 40 litres of water. Then find the total number of ice cubes of side 5 cm which the container can hold.

1. 480

2. 200

3. 280

4. 320

Q.

Area is a quantity that expresses the extent of a __ dimensional figure or shape in the plane.

Q. $\angle A$ and $\angle B$ are vertically opposite angles, and $\angle A=5x$ and $\angle B=90°+2x$. Find the value of $x$.

1. 30°
2. 60°
3. 90°
4. 120°

Q.

Statement 1: If two figures A and B are congruent, then they must have equal area.

Statement 2: If two figures A and B have equal area, then they must be congruent.

1. Both the statements are correct
2. Statement 1 is incorrect and statement 2 is correct
3. Statement 1 is correct but statement 2 is incorrect
4. Both the statements are incorrect

Q.

The space occupied by a two-dimensional figure on a plane is called.

Q.

In the given figure, if the area of one rectangle is 1 $c{m}^2$, then what is the area of the shaded region?

1. 8 $c{m}^2$

2. 10 $c{m}^2$

3. 7 $c{m}^2$

4. 20 $c{m}^2$

Q.

Consider the following two statements:
Statement - 1: If two figures have same shape and same size then they are called congruent.
Statement - 2: If two figures have equal area they are called congruent.
Now, choose the correct option.

1. Both the statements 1 and 2 are true
2. Both the statements 1 and 2 are false
3. Statement 1 is true and statement 2 is false
4. Statement 1 is false and statement 2 is true

Q. The area of $\Delta ABC$ is $400c{m}^2$. If AD is a median of $\Delta ABC$, then the area of $\Delta ABD$ is $200c{m}^2$.

1. False
2. True

Q.

Question 2 (ii)
Find : ${32}^{\frac{2}{5}}$

Q. What is mid point theorem?

Q.

What is the term that is related to any ‘n’ sided polygon and gives the sum of lengths of all the sides of the polygon?

__

Q. A median of triangle divides it into triangles of equal area.

1. one
2. two
3. three

Q. The graphs of the two equations $y=a{x}^2+bx+c$ and $y=$ $A{x}^2+Bx+C$, such that $a$ and $A$ have different signs and that the quantities $b^2-4ac$ and $B^2-4AC$ are both negative,

1. intersect at two points
2. intersect at one point
3. do not intersect
4. none of the above

Q.

In the figure below, lines AB and CD intersect at O. If $\angle AOC$ + $\angle BOE$ = ${70}^{\circ }$ and $\angle BOD={40}^{\circ }$, find $3\times \angle BOE$ in degrees.

1. 90

Q. The abscissa in the point $(-1,4)$ is:

1. $-1$
2. $0$

3. $4$

Q. Draw the graph of the following pair of linear equations
$x+3y=6;2x-312$, hence find the area of region bounded by lines $x=0,y=0$ and $2x-3y=12$