DANEMATHICS
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Grade 8 · Common Fractions
Equivalent Fractions & Simplifying
MEMORANDUM
Name: 
Class: 
Date: 
Mark
  / 14

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.

  1. 1
    Fill in the missing number: 27 = ?/21
    (2)
    7 × 3 = 21, so 2 × 3 = 6621✓✓ (2)
  2. 2
    Fill in the missing number: 34 = 15/?
    (2)
    3 × 5 = 15, so 4 × 5 = 20✓✓ (2)
  3. 3
    Write two fractions equivalent to 34.
    (2)
    e.g. 68 and 912✓✓ (2)
  4. 4
    Simplify 1218.
    (2)
    HCF = 6 → 23✓✓ (2)
  5. 5
    Simplify 4560.
    (2)
    HCF = 15 → 34✓✓ (2)
  6. 6
    Simplify 2436.
    (2)
    HCF = 12 → 23✓✓ (2)
  7. 7
    Is 79 in lowest terms? Give a reason.
    (2)
    Yes — 7 and 9 share no common factor except 1.✓✓ (2)
TOTAL: 14 marks
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