← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8 · Common Fractions
Equivalent Fractions & Simplifying
MEMORANDUM
Name: 
Class: 
Date: 
Mark
  / 10

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: 2/7 = (?)/21
    (1)
    7 × 3 = 21, so 2 × 3 = 6 → 6/21✓ (1)
  2. 2
    Fill in the missing number: 3/4 = 15/(?)
    (1)
    3 × 5 = 15, so 4 × 5 = 20✓ (1)
  3. 3
    Write two fractions equivalent to 3/4.
    (2)
    e.g. 6/8 and 9/12✓✓ (2)
  4. 4
    Simplify 12/18.
    (1)
    HCF = 6 → 2/3✓ (1)
  5. 5
    Simplify 45/60.
    (2)
    HCF = 15 → 3/4✓✓ (2)
  6. 6
    Simplify 24/36.
    (1)
    HCF = 12 → 2/3✓ (1)
  7. 7
    Is 7/9 in lowest terms? Give a reason.
    (2)
    Yes — 7 and 9 share no common factor except 1.✓✓ (2)
TOTAL: 10 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.