FreeMathWorksheet

Medium

TN-MATH-GR5-64074 · v3.-3

Equivalent Fractions

Grade 5 · Math · Fractions · International Baccalaureate

Grade

Grade 5

Subject

Math

Topic

Fractions

Subtopic

Equivalent Fractions

Curriculum

International Baccalaureate

Difficulty

Core

Time

25 minutes

Total marks

46

Student name

Teacher name

Date

Learning objectives

Recognise equivalent fractions accurately in math contexts.
Explain the underlying rule of equivalent fractions in the student's own words.
Apply equivalent fractions to multi-step and unfamiliar problems.
Justify a chosen method and identify errors in another student's work.

Skills assessed

Fluency and recall
Method and setting out
Reasoning and justification
Problem solving in context
Self-assessment

Instructions

Write your name, your teacher's name and the date in the header.
Answer every question in the space provided. Continue on the back if needed.
Show all working — method marks are awarded even when the final answer is wrong.
Aim to finish in about 25 minutes.
Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 4 marks

Answer quickly. These check you are ready for the topic.

1.Fill in the missing number: 4/6 = □/12
[1]
2.Fill in the missing number: 2/3 = □/18
[1]
3.Fill in the missing number: 6/9 = □/36
[1]
4.Fill in the missing number: 5/9 = □/45
[1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

1.Fill in the missing number: 3/7 = □/42
[1]
2.Fill in the missing number: 2/4 = □/20
[1]
3.Fill in the missing number: 2/4 = □/24
[1]
4.Fill in the missing number: 6/12 = □/48
[1]

FreeMathWorksheet · Grade 5 Math

Equivalent Fractions

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

1.Fill in the missing number: 5/6 = □/36
[1]
2.Fill in the missing number: 5/9 = □/18
[1]
3.Fill in the missing number: 5/12 = □/60
[1]
4.Fill in the missing number: 2/5 = □/10
[1]
5.Fill in the missing number: 4/9 = □/27
[1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

1.Write 12/20 in its simplest form, and state the factor you divided by.
[2]
2.Write 3/15 in its simplest form, and state the factor you divided by.
[2]
3.Write 30/60 in its simplest form, and state the factor you divided by.
[2]
4.Write 12/18 in its simplest form, and state the factor you divided by.
[2]

FreeMathWorksheet · Grade 5 Math

Equivalent Fractions

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

1.Write 8/20 in its simplest form, and state the factor you divided by.
[2]
2.Write 15/33 in its simplest form, and state the factor you divided by.
[2]
3.Write 12/18 in its simplest form, and state the factor you divided by.
[2]
4.Write 12/48 in its simplest form, and state the factor you divided by.
[2]
5.Write 6/18 in its simplest form, and state the factor you divided by.
[2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

1.Are 1/6 and 9/55 equivalent? Justify your answer with a calculation.
[3]
2.Are 3/7 and 12/29 equivalent? Justify your answer with a calculation.
[3]
3.Are 6/12 and 42/85 equivalent? Justify your answer with a calculation.
[3]

FreeMathWorksheet · Grade 5 Math

Equivalent Fractions

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

1.A recipe uses 1/7 of a litre of milk. A baker makes 4 batches. Write the total as a fraction with denominator 28, then simplify it.
[3]
2.A recipe uses 3/6 of a litre of milk. A baker makes 2 batches. Write the total as a fraction with denominator 12, then simplify it.
[3]

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

1.Describe how confident you feel with equivalent fractions and what you will practise next.
[—]
2.Reflect on how confident you feel with equivalent fractions and what you will practise next.
[—]