∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8 · Whole Numbers
Ratio and Rate: The Five Question Types
MEMORANDUM
Name:
Class:
Date:
Mark
/ 19
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.
- 1Simplify 15 : 25 (simplify)(1)÷5 → 3 : 5✓ (1)
- 2Simplify 24 : 36 (simplify)(1)÷12 → 2 : 3✓ (1)
- 3Share 56 sweets in the ratio 3 : 4 (share)(3)7 parts → 8 each; 24 and 32✓✓✓ (3)
- 4Share R720 in the ratio 2 : 3 : 4 (share)(3)9 parts → R80 each; R160, R240, R320✓✓✓ (3)
- 5Complete: 3 : 4 = 15 : ? (equivalent)(1)×5 → 20✓ (1)
- 6Complete: 5 : 2 = ? : 8 (equivalent)(1)×4 → 20✓ (1)
- 7Increase 40 in the ratio 7 : 5 (increase)(2)40 × 7/5 = 56✓✓ (2)
- 8Decrease 90 in the ratio 2 : 3 (decrease)(2)90 × 2/3 = 60✓✓ (2)
- 9A worker earns R900 in 6 hours. Rate per hour? (rate)(2)900 ÷ 6 = R150/h✓✓ (2)
- 10Which is cheaper: 2 kg for R50 or 3 kg for R72? (best buy)(3)R25/kg vs R24/kg → 3 kg pack✓✓✓ (3)
TOTAL: 19 marks