# Free Integers Subjective Test 01 Practice Test - 6th grade

Define Integers? [1 MARK]

#### SOLUTION

Solution : Definition: 1 Mark

Integers are a collection of natural numbers, zero and negative of natural numbers.
e.g. ....-3,-2,-1,0,1,2,3.........

The temperature of a body first rises by 25C and then falls by  32C. Find the final temperature of the body, if its initial temperature is : [2 MARKS]
(i) 0C
(ii) 20C

#### SOLUTION

Solution : Each option: 1 Mark

(i) Final temperature
0C+(+25C)+(32C)
0C+25C32C
7C

(ii) Final temperature
20C+(+25C)+(32C)
20C+25C32C
27C

What is additive inverse of a number? What is the additive inverse of  7 and 5?

#### SOLUTION

Solution : Definition: 1 Mark
Inverse of 7 and -5: 1 Mark

The additive inverse of a number is what you add to the number to get zero. i.e. additive inverse of 5 is 5 as 5+(5)=0
Additive inverse of 7 is 7 and  additive inverse of 5 is 5.

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, represent the following using integers with the appropriate signs. [3 MARKS]

a. 200m above sea level

b. Sea level

c.100m below sea level

#### SOLUTION

Solution :

Each option:1 Mark

a. +200m

b. 0

c. -100m

Write the opposite of the each of the following statements? [3 MARKS]

(i) Earning of  Rs 1000

(ii) Gaining a weight of 5 kg

(iii) A deposit of Rs 500 in the bank

#### SOLUTION

Solution :

Each option: 1Mark

(i) Loss of Rs 1000

(ii) Losing a weight of 5 kg

(iii) Withdrawal of Rs 500

Using the number line find the integer in the following cases : [3 MARKS]

(a) Sum of 5 and -3

(b) 5 less than 3

(c) 4 more than -1

#### SOLUTION

Solution :

Each option: 1 Mark

(a) We first move to the right of 0 by 5 steps reaching 5. Then we move 3 steps to the left of 5 reaching 2. We get, (+5)+(3)=2

(b) We want to know an integer which is 5 less than 3 for that we need to start from 3 and move to the left by 5 steps and obtain –2 as shown below: (c) We want to know the integer which is 4 more than –1. So, we start from –1 and proceed 4 steps to the right of –1 to reach 3 as shown below: Represent the following in the form of Integers:  [4 MARKS]

(a). 10 below zero

(b). 5 cm above ground level

(c). Earning Rs 500  from some source

(d) A loss of Rs 200 in the shop

#### SOLUTION

Solution :

Each option: 1 Mark

(a). 10

(b). +5

(c). +500

(d). 200

(a) The sum of two integers is 94. If one of them is -25, find the other?

(b) The sum of two integers is -320. If one of them is +80, find the other?

(c) The sum of two integers is 100. If one of them is -50, find the other?

(d) The sum of two integers is -660. If one of them is -70, find the other?  [4 MARKS]

#### SOLUTION

Solution :

Each option: 1 Mark

(a). Let the integer be x25+x=94x=94+25x=119

(b). Let the integer be x80+x=320x=32080x=400

(c). Let the integer be x50+x=100x=100+50x=150

(d). Let the integer be x70+x=660x=660+70x=590

Compute each of the following: [4 MARKS]

(a) 15+(5)+15+(7)

(b) 34+(20)+16+(10)

(c) 32+16+9+(70)

(d) 3+(2)+(5)+7

#### SOLUTION

Solution :

Each option: 1 Mark

(a). [15+(5)]+[15+(7)]
10+8
18

(b). [34+(20)]+[16+(10)]
14+6
20

(c). [32+16]+[9+(70)]
[48+(61)]
4861
13

(d). [3+(2)]+[(5)+7]
5+2
3

Evaluate: [4 MARKS]

(a). (3)×(3)×(3)

(b). (32)×(3)×(2)×(10)

(c). (8)×(0)×(4)×(18)

(d). (2)×(3)×(4)×(5)

#### SOLUTION

Solution : Each option: 1 Mark

(a). (3)×(3)×(3)
9×(3)
27

(b). (32)×(3)×(2)×(10)
(96)×2×(10)
(192)×(10)
1920

(c). (8)×(0)×(4)×(18)=0

(d). (2)×(3)×(4)×(5)
6×20
120