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Wisechamps Grade 7 integers Worksheet 1

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Evaluate

a)

94\frac{9}{4}

b)

98\frac{9}{8}

c)

92\frac{9}{2}

d)

911\frac{9}{11}

2.

Solve −12 − (10 ÷ 5) + 5 − ( −2 3 + 5) + 6 − {( −2 × 3) × 1 + (−3 − 5)}

a)

24

b)

12

c)

28

d)

16

3.

Given −51 x = 204 and −33 y = − 297, then find the value of −x y.

a)

-36

b)

33

c)

36

d)

33

4.

The difference of two integers is 18. If one of them is −40. Find the other.

a)

-58

b)

32

c)

12

d)

22

5.

The value of M, if (—56) ( — 7 + (—9) = — 56 (—7) + [ (— 56) (— M)], is ____________ .

a)

— 9

b)

9

c)

7

d)

— 7

6.

The temperature at Bar Harbour, Maine, was −3˚ F. It then dropped during the night to be 4 times as cold. What was the temperature then?

a)

12˚  F

b)

-12˚  F

c)

16˚  F

d)

-16˚  F

7.

In a magic square, if each row, column and diagonal have same sum, then find the value of P + Q.

a)

— 5

b)

2

c)

7

d)

12

8.

A TV was bought at a price of Rs. 21000. After 1 year the value of the TV was depreciated by 5%. (Depreciation means reduction of the value due to use and age of the item). Find the value of the TV after 1 year.

a)

19950

b)

18000

c)

23500

d)

16000

9.

Rita goes 20km towards east from point A to point B. From B, she moves 30km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? by which integer will you represent her final position from A?

a)

— 50

b)

— 10

c)

30

d)

— 40

10.

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack's scores in five successive rounds were 25,−5,−10,15 and 10, what was his total at the end?

a)

25

b)

35

c)

55

d)

75

11.

State T for true and F for False.

(i) Negative integers are on the left side of zero.

(iii) The identity of integers under subtraction is 1.

(iv) The product of 5 negative integers is negative.

a)

(i) T

(ii) T

(iii) F

(iv) T

b)

(i) F

(ii) T

(iii) F

(iv) T

c)

(i) F

(ii) T

(iii) T

(iv) F

d)

(i) T

(ii) F

(iii) F

(iv) T

12.

Raghav threw a piece of marble 12 metres high in the air which fell and settled at the bottom of a pond 17 metres deep. By how much distance did the marble fall?

a)

29 metres

b)

5 metres

c)

-5 metres

d)

-29 metres

13.

Which of the following statements is true?

a)

When we multiply two integers, then their product is always greater than both the integers.

b)

Integers are not closed under multiplication.

c)

when we change the order of integers then their difference remains the same.

d)

None of these

14.

Consider the given Statements.

(i) The successor of 0 ✖ (— 12) is 1 ✖ (—12)

(ii) Integers are closed under division.

(iii) (— 25) ✖ ( 5 — 3) = (— 20) ✖ (— 2)

(iv) ( — 12) + (— 9) is less than (—19) — (—12)

Which of the following statements is/are incorrect?

a)

Only (i)

b)

Both (i) and (iv)

c)

Only (iv)

d)

(i), (ii), ad (iii)

15.

Read the statements carefully and the select the correct option.

Statement - I: The product of smallest positive integers and the greatest negative integer is — 1.

Statement - II: There is no integer between any two consecutive integer and there is at least one integer between any two non - consecutive integers.

a)

Statement - I is false but Statement - Ii is true.

b)

Statement - I is true but Statement - II is false.

c)

Both Statement - I and Statement - II are true.

d)

Both Statement - I and Statement - II are false.