On a number line, when we add a positive integer, we

1

(a)

move to the right

(b)

move to the left

(c)

do not move at all

(d)

none of these

A water bottle contains 2litres of water Meenu drank \(\frac{1}{8}\) of water. How much water did Meenu drink?

1

(a)

\(\frac{1}{2}litre\)

(b)

\(\frac{1}{8}\ litre\)

(c)

\(\frac{1}{4}\ litre\)

(d)

None of these

If 7x + 4 = 25, then x is equal to

1

(a)

\(\frac { 29 }{ 7 } \)

(b)

\(\frac { 100 }{ 7 } \)

(c)

2

(d)

3

In a linear pair of angles. one angle is \(\frac { 2 }{ 3 } \)  of the other. The measure of the smaller angle is:

1

(a)

108°

(b)

72°

(c)

36°

(d)

54°

The exterior angle of a triangle is 120° and one of its interior opposite angle is 70°. Find the measure of its other interior opposite angle?

1

(a)

90°

(b)

50°

(c)

60°

(d)

100°

20% of 700 m is :

1

(a)

560 m

(b)

70 m

(c)

210 m

(d)

140 m

To reduce a rational number to its standard form, we divide its numerator and denominator by their

1

(a)

LCM

(b)

HCF

(c)

product

(d)

Multiple

Which of the following pairs of terms is a pair of like terms?

1

(a)

7p, 8q

(b)

10pq, -7qp

(c)

12q²p², -5p²

(d)

2405 p, 78 qp

\(\frac { { 3 }^{ 8 } }{ { 3 }^{ 5 }\times { 3 }^{ 3 } } \)=

1

(a)

1

(b)

3

(c)

5

(d)

8

Number of edges in a square pyramid is:

1

(a)

6

(b)

8

(c)

10

(d)

12

When -16 is divided by ______ the quotient is 4.

1

(a)

-4

Product of a proper and improper fraction is_______the improper fraction.

1

(a)

less than

If \(\frac{4x}{5}-\frac{1}{4}=\frac{3x}{5}\),then x =_______________.\(\left[ 20/\frac { 5 }{ 4 } \right] \quad \quad \)

1

(a)

\(\frac{5}{4}\)

If 20 lemons are bought for Rs.10 and sold at 5 for three rupees, then_____________ in the transaction is _________%.

1

(a)

profit, 20%

A parallelogram has ___________ lines of symmetry

1

(a)

Zreo

Product of a negative integer and a positive integer is a positive integer.

1

(a) True

(b) False

If ΔABC is an isosceles triangle, where AB = AC and D is mid-point of BC, then ΔABD ≌ ΔACD.

1

(a) False

(b) True

if \(\frac { -6 }{ 7 } =\frac { x }{ 28 } ,\) then the value of x is \(\frac { -3 }{ 2 } \)

1

(a) True

(b) False

x^m x xⁿ = x^{m + n}, where x is a non-zero rational number and m, n are positive integers.

1

(a) False

(b) True

A triangular prism has 5 faces, 9 edges and 6 vertices.

1

(a) False

(b) True

If (-10) is divided by (-2), then what is the quotient?

1

(a)

5

Find:\(\frac{4}{5}\div\frac{4}{9}\)

1

(a)

1\(\frac{4}{5}\)

What is the mode of 3, 1, 2, 3, 4, 3, 5, 3, 1?

1

(a)

3

Find the complement of each of the following angles:31°

1

(a)

59^o

Find the angles of a triangle which are in the ratio 2: 3: 5.

1

(a)

Let the angles be 2x, 3x and 5x
\(\therefore\)2x + 3x + 5x = 180°
\(\Rightarrow\)        10x = 180°
\(\Rightarrow\)            x = 18°
Angles are 36, 54, 90.

An item is sold for Rs.754 with a profit of 4%. What is cost price?

1

(a)

Rs.725

Write the following rational numbers in ascending order: \(\frac{3}{4}\), \(\frac{-1}{2}\), \(\frac{-4}{5}\), \(\frac{-1}{-4}\)

1

(a)

\(\frac{-4}{5}<\frac{-1}{2}<\frac{-1}{-4}<\frac{3}{4}\)

What is the area of the shaded region?

1

(a)

192.5 cm²

Identify the numerical coefficient of terms (other than constants) in the following expressions:
-xy - x²y ²  

1

(a)

-1,-1

How many lines of symmetry are there in a rhombus?

1

(a)

2

1. Find 43.07 x 100

   2

   (a)

2. Find \(\\ \frac { -3 }{ 4 } \times \frac { 1 }{ 7 } \)

   2

   (a)

Solve the equation \(\frac{1}{2}\)(x - 1) + 2 = 5.

2

(a)

2

(a)

Describe how the following expressions are obtained? 4x² - 5x

2

(a)

Express in exponential notation.
81

2

(a)

Let us find 1.2 x 2.5.

3

(a)

The runs scored in a cricket match by 11 players are as follows:
6,15,120,50,100,80,10,15,8,10,15 Find the mean, mode and median of this data. Are the three same?

3

(a)

A man earns Rs 1500 in 15 days. How much will he earn in 20 days?

3

(a)

Add the following rational numbers.
\(\frac { 2 }{ 4 } +\frac { 2 }{ 20 } \)

3

(a)

The following diagrams show the nets of various solids. Name the solids.

3

(a)

1. Solve for x: \(\frac { 3 }{ 4 } (7x-1)-\left[ 2x-\frac { 1-x }{ 2 } \right] =x+\frac { 3 }{ 2 } \)

   5

   (a)

2. Sugar is sold at Rs 17\(\frac{3}{5}\) per kg. Find the cost of 16 kg of sugar.

   5

   (a)

1. Michelle drives 10 km South-East, then 8 km West. How far is he from his initial position?

   5

   (a)

2. By what number should (- 4)⁵ be divided so that the quotient may be equal to (-4)³?

   5

   (a)

Simplify the following:
(a) (6^-1 - 8^-1)^-1 + (2^-1 - 3^-1)^-1
(b) \({ \left\{ { 6 }^{ -1 }+{ \left( \frac { 3 }{ 2 } \right) }^{ -1 } \right\} }^{ -1 }\)

5

(a)

Two lines AB and CD intersect at 0 [figure]. Write all the pairs of adjacent angles by taking angles 1,2,3 and 4 only.

5

(a)

Find the sum of \(\frac { 4 }{ 7 } +\frac { -8 }{ 9 } +\frac { -5 }{ 21 } +\frac { 1 }{ 3 } \).

5

(a)