∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8 · Common Fractions
Fractions of Quantities, Grouping & Sharing
MEMORANDUM
Name:
Class:
Date:
Mark
/ 21
Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.
- 1Find 3/4 of 60.(2)60 ÷ 4 × 3 = 45✓✓ (2)
- 2Find ⅖ of R150.(2)150 ÷ 5 × 2 = R60✓✓ (2)
- 3Find 5/8 of 48.(2)48 ÷ 8 × 5 = 30✓✓ (2)
- 4There are 45 learners and 1/3 play sport. How many play sport?(2)45 ÷ 3 = 15 learners✓✓ (2)
- 53/4 of a number is 24. What is the number?(2)1/4 = 24 ÷ 3 = 8, so the number is 8 × 4 = 32✓✓ (2)
- 6⅖ of a number is 30. What is the number?(2)⅕ = 30 ÷ 2 = 15, so the number is 15 × 5 = 75✓✓ (2)
- 7How many 1/2-litre bottles can be filled from 7 litres?(2)7 ÷ 1/2 = 7 × 2 = 14 bottles✓✓ (2)
- 8How many 2/3-metre pieces can be cut from 8 metres?(2)8 ÷ 2/3 = 8 × 3/2 = 12 pieces✓✓ (2)
- 9Sipho spends 1/4 of his money on a book and 1/3 on food. What fraction is left?(3)1/4 + 1/3 = 3/12 + 4/12 = 7/12; left = 12/12 − 7/12 = 5/12✓✓✓ (3)
- 10A tank is ⅗ full and holds 45 litres when full. How many litres are in it?(2)45 ÷ 5 × 3 = 27 litres✓✓ (2)
TOTAL: 21 marks