MeerkatSchool Grade 5 · Mathematics

Algebra – numbers, operations and patterns

Mathematics  •  Grade 5
Total35 marks
Time60 minutes
Questions23
Name: Class:           Date:

Instructions

  1. Read all the questions carefully before you begin writing.
  2. Answer all the questions on the question paper itself.
  3. Show all your working where the question asks for it.
  4. Write neatly. Work that cannot be read cannot be marked.
  5. You may use a pencil and a ruler for drawings.
  6. Calculators are not allowed.

Sit down with pen and paper. Work through the whole paper before you show the answers — that is how a real test feels.
The answers are right at the bottom of the page.

QUESTION 1  •  Multiple choice

[5]
1.1 The place value of the 7 in 4 723 is: (1)
Answer b. Hundreds
1.2 Which number is an even number? (1)
Answer b. 518
1.3 8 465 rounded to the nearest 1 000 is: (1)
Answer a. 8 000
1.4 Which one is a factor of 18? (1)
Answer b. 6
1.5 ½ of 24 is: (1)
Answer b. 12

QUESTION 2  •  Expanded notation and even and odd numbers

[4]
2.1 Write 5 807 in expanded notation. (2)
Answer 5 000 + 800 + 7 Marking tip: 1 mark per step.
2.2 Write the following numbers under EVEN or ODD: 36 ; 41 (2)
Answer 36 = even; 41 = odd Marking tip: 1 mark per step.

QUESTION 3  •  Rounding

[3]
3.1 Round 3 748 off to the nearest 10. (1)
Answer 3 750 Marking tip: 1 mark each.
3.2 Round 3 748 off to the nearest 100. (1)
Answer 3 700 Marking tip: 1 mark each.
3.3 Round 3 748 off to the nearest 1 000. (1)
Answer 4 000 Marking tip: 1 mark each.

QUESTION 4  •  Multiples and factors

[3]
4.1 Write down all the factors of 20. (2)
Answer 1, 2, 4, 5, 10, 20 Marking tip: 1 mark per step.
4.2 Write down the first three multiples of 9. (1)
Answer 9, 18, 27 Marking tip: 1 mark each.

QUESTION 5  •  Number sentences and number patterns

[5]
5.1 Extend the pattern: 4 ; 8 ; 12 ; ______ ; ______ (2)
Answer 16 ; 20. The rule is + 4. Marking tip: 1 mark per step.
5.2 Solve: ________ + 37 = 82 (1)
Answer 82 − 37 = 45 Marking tip: 1 mark each.
5.3 Fill in the missing number: 6 × ________ = 54 (2)
Answer 54 ÷ 6 = 9 Marking tip: 1 mark per step.

QUESTION 6  •  Addition and subtraction

[2]
6.1 Calculate: 3 486 + 2 759 (1)
Answer 6 245 Marking tip: 1 mark each.
6.2 Calculate: 5 204 − 1 867 (1)
Answer 3 337 Marking tip: 1 mark each.

QUESTION 7  •  Multiplication and division

[6]
7.1 Calculate 234 × 6. Show your working. (3)
Answer 234 × 6 = 1 404 Marking tip: 1 mark per step.
7.2 Calculate 852 ÷ 4. Show your working. (3)
Answer 852 ÷ 4 = 213 Marking tip: 1 mark per step.

QUESTION 8  •  Fractions

[3]
8.1 Calculate: ⅓ + ⅓ (1)
Answer 2/3 Marking tip: 1 mark each.
8.2 Write a fraction equal to ½ with 8 as the denominator. (1)
Answer 4/8 Marking tip: 1 mark each.
8.3 What is ¼ of 32? (1)
Answer 8 Marking tip: 1 mark each.

QUESTION 9  •  Word problem

[4]
9.1 A coach has 5 bags with 24 rugby balls each. He uses 87 balls for practice. How many balls are left? (4)
Answer 5 × 24 = 120 balls; 120 − 87 = 33 balls Marking tip: 1 mark per step.
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