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Grade 7 Maths: Integers worksheet

A CAPS Grade 7 Maths worksheet on integers (Numbers). 17 questions in three sections that rise in difficulty, 38 marks in all.

CAPS Grade 7MathsNumbers17 questions · 38 marksMemo includedFree
Grade 7 · Maths
Integers

Numbers · CAPS Grade 7

/ 38

AWarm-up9 marks

Answer the questions.

1

Which integer is marked on the number line?

−606
Answer
(1)
2

Write these integers in order, from the smallest to the biggest.

0
3
4
−2
−5
(2)
3

Write < or > in each gap.

−4 2 and −7 −3 and 0 −1

(3)
4

Which integer is smaller than −4?

A−3
B−4
C0
D−5
(1)
5

Every negative integer is smaller than every positive integer.

TrueFalse
(1)
6

What is the opposite of −9?

Answer
(1)

BCore18 marks

Work out the answers. Show your working where there is space.

7

Which calculation has an answer of −6?

A(−2) + 8
B8 − 2
C2 − 8
D(−2) − 8
(1)
8

Complete the subtractions.

5 − 8 = and (−4) − 3 = and 6 − (−2) = and (−9) − (−4) =

(4)
9

At 05:00 in Sutherland the temperature was −4 °C. By midday it had risen by 11 °C. What was the temperature at midday?

Working
Answer
(2)
10

The temperature changed from −5 °C at night to 8 °C at noon. By how many degrees did it rise?

Working
Answer
(2)
11

Zinhle’s bank account is overdrawn. Her balance is −R120. She deposits R350. What is her new balance?

Working
Answer
(2)
12

A submarine is at a depth of 120 m, which is −120 m. It dives another 45 m and then rises 80 m. What is its position now?

Working
Answer
(3)
13

Complete the table.

CalculationAnswer
(−7) + 3
4 + (−9)
(−5) + (−2)
(−8) + 8
(4)

CChallenge11 marks

Think carefully. Show your working.

14

A lift starts at floor −2, which is the second basement. It goes up 7 floors, then down 4 floors and then down 3 more floors. On which floor does it stop?

Working
Answer
(3)
15

Sipho says that (−5) + (−3) = 2 because 5 − 3 = 2. What is his mistake? What is the correct answer?

(2)
16

Calculate 5 − (−3) + (−10) − 4.

Working
Answer
(3)
17

Two integers have a sum of −2. The first integer minus the second integer is 8. What are the two integers?

Working
Answer
(3)

Total 38 marks

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Memo (answers and marks)
Grade 7 · Maths
Integers Memo

Numbers · CAPS Grade 7 · 38 marks

AWarm-up9 marks

QAnswerMarks
1−31
2
  1. −5
  2. −2
  3. 0
  4. 3
  5. 4
2
3−4 < 2 and −7 < −3 and 0 > −13
4D. −51
5True1
691

BCore18 marks

QAnswerMarks
7C. 2 − 81
85 − 8 = −3 and (−4) − 3 = −7 and 6 − (−2) = 8 and (−9) − (−4) = −54
97 °C(−4) + 11 (1 mark) = 7 °C (1 mark).2
1013 °C8 − (−5) = 8 + 5 (1 mark) = 13 °C (1 mark).2
11R230(−120) + 350 (1 mark) = R230 (1 mark).2
12−85 m(−120) − 45 = −165 (1 mark). (−165) + 80 (1 mark) = −85 m (1 mark).3
13
CalculationAnswer
(−7) + 3−4
4 + (−9)−5
(−5) + (−2)−7
(−8) + 80
4

CChallenge11 marks

QAnswerMarks
14Floor −2(−2) + 7 = 5 (1 mark). 5 − 4 = 1 (1 mark). 1 − 3 = −2 (1 mark).3
15Adding two negative integers gives a smaller (more negative) number. The correct answer is −8.1 mark for explaining that both numbers are negative, so they must be added and the answer is negative. 1 mark for −8.2
16−65 − (−3) = 5 + 3 = 8 (1 mark). 8 + (−10) = −2 (1 mark). (−2) − 4 = −6 (1 mark).3
173 and −5Any sensible method, for example trial and improvement. Check: 3 + (−5) = −2 (1 mark) and 3 − (−5) = 8 (1 mark). Answer 3 and −5 (1 mark).3

Total 38 marks

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For your students

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