Worksheet - Mathematics

Chapter-1 Integers

Topic-1 Addition and Subtraction Of Integers :

1) Sum of two negative number is always . (1)

2) What will be the additive inverse of -5 ?−5 (1)

3) Sum of two positive number is always . (1)

Find The sum of the following : i) ( 4) -7)+ 8 =.

ii) (-24) +30=

(2)

Subt Subtract the following : i) ( 5) -63) -(-3)=.

ii) (-42) -21 = .

(2)

6) Use the number line to add the following integers : (-4)+(6) (2)

7) Use the number line to subtract the following : (-3) -(-4) (2)

8) In one of the places in the Arctic , the average temperature in winters is -24°c. In summers ,

the average temperature is 8°C.What is the difference between these temperatures?

(2)

9) On a winter morning in Shimla , the temperature was 2°C below zero . By noon , the

temperature rose by 17 °C . By 4 p.m. in the evening , the temperature came down by 4°C.

What was the temperature at 4 p.m. ?

(3)

Topic-2 Properties of Integers

10) Write down pair of integers whose i)sum is -11. ii) difference gives 8 (2)

11) Which property us reflected in the following : 17×15= 15×17. (1)

12) Fill in the blanks

i) (-14)+(-17) = (-17)+(). ii) 0-(___)= 6

iii) [24+(-12)]+()= (-12)+[24+(-7) iv) ___+36=0

(3)

13) Which property used in the following : i) [-15+7] +(-18) = -15 +[7+(-18)]

ii) 40+(-37)= -37+40

iii) 15- 103 is an integer .

(3)

14) is equals to its additive inverse (1)

Topic-3Multiplication of integers

15) What is multiplicative identity of integers ? (1)

16) Is 10 ×[(6+(-2)]=10×6 +10×(-2)?State Yes or No, also mention the property used (2)

17) Fill in the blanks i) 18×(-4) + 18 ×(-6) = 18 [___+___] = ii) -10× ___=100 (2)

18) Using distributive property find : 105×-32? (3)

19) An elevator descends into a mine shaft at the rate of 5 metre per minute . What will be its

position after one hour ? If it begins to descend from 15 above the ground , what will be its

position after 45 minutes?

(4)

Topic-3 Division of Integers

20) Find the value of 125 ÷(-25)=? (1)

21) In a test (+5) marks are given for every correct answer and (-2)marks are given for every

incorrect answer . i) Ishika answered all the questions and scored 30 marks though she got

10 correct answers. ii) Ram also answered all the questions and scored (-12) marks though

he got 4 correct answers. How many incorrect answers had they attempted ?

(4)

22) 0÷10 gives= ? (1)

23) Verify that ÷ ( + ) ≠ ( ÷ ) + ( ÷ )for each of the following values of : a=24, b=-6 ,

c= 4 .

(3) please find the other subjects anthropology