If the sum of two integers a and b is zero, then

1

(a)

a=0, b=0

(b)

a = -b

(c)

Both (a) and (b) are not zero

(d)

None of these

Find the area of \(\triangle ABC\)

1

(a)

1 cm²

(b)

2 cm²

(c)

4 cm²

(d)

\(\frac { 1 }{ 2 } \) cm²

The number of scarfs of length half metre that can be made from y metres of cloth is :

1

(a)

2y

(b)

\(y\over 2\)

(c)

Y + 2

(d)

\(y+{1\over 2}\)

123x²y - 138x²y is a like term of :

1

(a)

10xy

(b)

- 15xy

(c)

-15x²y

(d)

10x²y

Find the value of the expression 100 - 10x³ for x = 0

1

(a)

10

(b)

- 10

(c)

100

(d)

- 100

Find the value of the expression 5n - 3 for n = - 1

1

(a)

5

(b)

- 3

(c)

- 8

(d)

8

Find the value of the expression x² + 2x + 1 for x = - 1

1

(a)

0

(b)

1

(c)

- 1

(d)

2

Find the value of the expression a + b for a = 1, b = 2

1

(a)

1

(b)

2

(c)

3

(d)

4

If the angles of triangle are in the ratio 3 : 4 : 5, then find the value of each angle.

1

(a)

45°, 60° and 75°

The strength of a school increased from 550 to 605. What is the increase per cent in the strength?

1

(a)

10%

Can we draw a mangle having two right angles?

1

(a)

No.

What is the each angle of an equilateral mangle?

1

(a)

60°

Can 45°, 60° and 40° be the angles of an acute angled mangle?

1

(a)

No

What is the area of a circle whose radius is 1 cm?

1

(a)

\(\frac{22}{7}\)cm²

What is the area of a circle whose diameter is 1 cm?

1

(a)

\(\frac{11}{4}\)cm²

What is the side of a square whose area is 100 cm²?

1

(a)

10 cm

The figure given below represents a rectangular lawn with a circular flower bed. Find:

The area of the flower bed

1

(a)

154 m²

The figure given below represents a rectangular lawn with a circular flower bed. Find:

The area of the lawn excluding the flower bed.

1

(a)

4846 m²

Find the value of the following, if x = 2 and y = - 1 :
5x-2y

1

(a)

5x-2y = 5 X 2-2 X (-1)
=10+2=12

Find the value of the following, if x = 2 and y = - 1 :
3x + 2y

1

(a)

3x + 2y = 3 X 2 + 2 x (-1)
= 6 + (-2) = 4.

Solve (-6) - (-16)

2

(a)

Solve (-21) - (30)

2

(a)

Find the product of the following integers: (-2) x (-4) x (-2)

2

(a)

Verify the properties of multiplication of integers. (-15) x (-23)= 15 x 23

2

(a)

Find 80 \(\div\) (- 5)

2

(a)

Find 64 \(\div\) (-16)

2

(a)

Find (- 36) \(\div\) (- 4)

2

(a)

Convert each of the following into a fraction in its simplest form. 0.4

2

(a)

Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.

2

(a)

Find  1.3\(\times\) 10

2

(a)

1. Following number line shows the temperature in degree Celsius (^oC) at different places on a particular day.
   
   What is the temperature difference between the hottest and the coldest places among the above?

   3

   (a)

2. Following number line shows the temperature in degree Celsius (^o C ) at different places on a particular day.
   
   Observe this number line and write the temperature of the places marked on it.

   3

   (a)

1. Following number line shows the temperature in degree Celsius (^o C ) at different places on a particular day.
   
   What is the temperature difference between Lahulspiti and Srinagar?

   3

   (a)

2. Which is greater? 0.7 or 0.5

   3

   (a)

1. Which is greater? 7 or 0.7

   3

   (a)

2. Which is greater? 1.37 or 1.49

   3

   (a)

1. Identify the like terms in the following algebraic expressions.5x² -6xy + 6x² + 1

   3

   (a)

2. Identify the like terms in the following algebraic expressions.2x² + 3y² +5x² -9y² - 3xy + 5xy

   3

   (a)

1. Which is greater? 2.03 or 2.30

   3

   (a)

2. State whether each pair of terms given below is like or unlike 6xy and 3xy 

   3

   (a)

1. Following are the marks obtained by 25 students in class test (out of 25 marks) in Maths :
   18, 13, 18, 16, 8, 5, 13, 5, 18, 18,2,16, 13, 8, 17, 18 5, 2, 13, 8, 19, 16, 8, 20.
   How many students obtained marks more than the mean marks?

   4

   (a)

2. The mean marks (out of 100) of a group of students is 60. If their marks are 85, 62, 36, 48, 72, x, 75 and 39, then find the value of x.

   4

   (a)

1. Find angles x and y in each figure.
   

   4

   (a)

2. In a class test containing 10 questions, 5 marks are awarded for every correct answer and (- 2) marks are awarded for every incorrect answer and 0 for questions not attempted.
   (i) Mohan gets four correct and six incorrect answers. What is his score?
   (ii) Reshma gets five correct answers and five incorrect answers. What is her score?
   (iii) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

   4

   (a)

1. A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag of grey cement sold.
   (a) The company sells 3000 bags of white cement and 5000 bags of grey cement in a month. What is its profit or loss?
   (b) What is the number of white cement bags it must sell to have neither profit nor loss if the number of grey bags sold is 6400 bags?

   4

   (a)

2. Write five pairs of integers (a, b) such that a \(\div\) b = - 3. One such pair is (6, - 2) as 6 \(\div\) (-2) = (-3).

   4

   (a)

1. The temperature at 12 noon was 10°C above zero. 1f it decreases at the rate of 2°C/h until midnight, at what time would the temperature be 8°C below zero. What would be the temperature at midnight?

   4

   (a)

2. In a class test, (+ 3) marks are given for every correct answer and (- 2) marks are given for every incorrect answer and no marks for not attempting any question.
   (i) Radhika scored 20 marks. if she has got 12 correct answers, how many questions has she attempted incorrectly?
   (ii) Mohini scores (-5) marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

   4

   (a)

1. Write a pair of integers whose product is -12 and there lies seven integers between them (excluding the given integers).

   4

   (a)

2. Write a pair of integers whose product is -36 and whose difference is 15.

   4

   (a)

Write two integers which are smaller than -5 but their difference is -5.

5

(a)

Write two integers, which are greater than -10, but their sum is smaller than -9.

5

(a)

You are at an elevation 380 m above sea level as you start a motor ride. During the ride, your elevation changes by 540 m, -268 m, 116 m, -152 m, 490 m, -844 m and 94 m. What is your elevation relative to the sea level at the end of the ride?

5

(a)

The height of a place A is 1800 m above sea level. Another place B is 700 m below sea level. What is the difference between the levels of these two places?

5

(a)

A greengrocer had a profit of Rs 47 on Monday, a loss of Rs 12 on Tuesday and loss of Rs 8 on Wednesday. Find his net profit or loss in 3 days.

5

(a)