What exactly is in the download?

A 31-question, 54-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-GR8-68443, version v1.5 and a QR code back to this page.

Does it print correctly on US Letter?

Yes. Switch paper size in the download panel — margins and typography are identical, so nothing reflows or clips.

Is the answer key included?

The student copy prints clean. Toggle answers on to append the answer key, marking scheme and teacher pack.

Worksheet · TN-MATH-GR8-68443 · v1.5

Equivalent Fractions — Mixed Difficulty

A single-focus worksheet on equivalent fractions for Grade 8 Math. Nothing else from fractions is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

MixedOCR35 min54 marksNo answers on sheet

Deliberately interleaved for retrieval strength.

Grade

Grade 8

Subject

Math

Topic

Fractions

Subtopic

Equivalent Fractions

Curriculum

OCR

Difficulty

Mixed

Time

35 min

Questions

Total marks

Worksheet ID

TN-MATH-GR8-68443

Version

v1.5

Format

A4 · US Letter

Preview & download

Print-ready · high-resolution PDF · minimal ink

FreeMathWorksheet

Mixed Difficulty

TN-MATH-GR8-68443 · v1.5

Equivalent Fractions

Grade 8 · Math · Fractions · OCR

Grade

Grade 8

Subject

Math

Topic

Fractions

Subtopic

Equivalent Fractions

Curriculum

OCR

Difficulty

Mixed

Time

35 minutes

Total marks

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 35 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: 5/7 = □/14
[1]
2.Fill in the missing number: 3/9 = □/45
[1]
3.Fill in the missing number: 2/3 = □/18
[1]
4.Fill in the missing number: 3/9 = □/18
[1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

1.Fill in the missing number: 1/2 = □/10
[1]
2.Fill in the missing number: 2/3 = □/15
[1]
3.Fill in the missing number: 1/7 = □/14
[1]
4.Fill in the missing number: 4/5 = □/30
[1]

FreeMathWorksheet · Grade 8 Math

Equivalent Fractions

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

1.Fill in the missing number: 2/6 = □/12
[1]
2.Fill in the missing number: 3/6 = □/12
[1]
3.Fill in the missing number: 4/10 = □/60
[1]
4.Fill in the missing number: 5/11 = □/44
[1]
5.Fill in the missing number: 6/7 = □/14
[1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

1.Write 12/18 in its simplest form, and state the factor you divided by.
[2]
2.Write 15/30 in its simplest form, and state the factor you divided by.
[2]
3.Write 15/40 in its simplest form, and state the factor you divided by.
[2]
4.Write 15/40 in its simplest form, and state the factor you divided by.
[2]

FreeMathWorksheet · Grade 8 Math

Equivalent Fractions

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

1.Write 30/72 in its simplest form, and state the factor you divided by.
[2]
2.Write 20/40 in its simplest form, and state the factor you divided by.
[2]
3.Write 20/50 in its simplest form, and state the factor you divided by.
[2]
4.Write 3/9 in its simplest form, and state the factor you divided by.
[2]
5.Write 2/4 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 4/5 and 24/31 equivalent? Justify your answer with a calculation.
[3]
2.Are 2/6 and 14/43 equivalent? Justify your answer with a calculation.
[3]
3.Are 4/5 and 8/11 equivalent? Justify your answer with a calculation.
[3]

FreeMathWorksheet · Grade 8 Math

Equivalent Fractions

Real-life Application

Bloom: Apply · 6 marks

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

1.A recipe uses 3/4 of a litre of milk. A baker makes 6 batches. Write the total as a fraction with denominator 24, then simplify it.
[3]
2.A recipe uses 2/5 of a litre of milk. A baker makes 2 batches. Write the total as a fraction with denominator 10, then simplify it.
[3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

1.Explain why a student's method for equivalent fractions is or is not efficient.
[4]
2.Explain why a student's method for equivalent fractions is or is not efficient.
[4]

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.Record how confident you feel with equivalent fractions and what you will practise next.
[—]

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to Grade 8, and every rung stays on equivalent fractions only.

01Warm-up
Answer quickly. These check you are ready for the topic.
Remember4 questions4 marks
02Recall
Complete from memory. No calculator, no notes.
Remember4 questions4 marks
03Basic Practice
Work through each item. Show the step you used.
Understand5 questions5 marks
04Guided Practice
The first step is given. Finish the reasoning.
Understand4 questions8 marks
05Independent Practice
No scaffolding. Set out your full method.
Apply5 questions10 marks
06Challenge Questions
Harder items. Attempt every one, even partially.
Analyse3 questions9 marks
07Real-life Application
Use the skill in context. State units in your answer.
Apply2 questions6 marks
08Critical Thinking
Explain your reasoning in full sentences.
Evaluate2 questions8 marks
09Reflection
Not marked. Answer honestly — this guides your next worksheet.
Create2 questions0 marks

Answer key & solutions

Every worksheet auto-generates a complete key with step-by-step solutions, the marking scheme and teacher notes. It prints as separate pages so the student copy stays clean.

Teacher notes

Set the warm-up as a five-minute starter; it diagnoses readiness for equivalent fractions before you teach.
Guided practice is the pivot point — circulate here rather than during independent practice.
Mark the reasoning questions with the marking scheme bands, not raw totals, so progress is comparable across variants.
Students who band Emerging should repeat the Easy variant of this same subtopic before moving on within Fractions.

Common student mistakes

Adding the same number to both parts instead of multiplying.
Dividing only the numerator, or stopping before the fraction is fully simplified.
Assuming any two fractions with bigger numbers are automatically equivalent.
Multiplying the denominator as well as the numerator when scaling a quantity.
Confusing equivalent fractions with a neighbouring idea in fractions.

Teaching tips

Model one worked example of equivalent fractions under a visualiser before handing the sheet out.
Ask students to predict which question they will find hardest, then check the prediction afterwards.
Pair Developing students with Secure students for the guided practice block only.
Use the answer key as a self-marking station rather than collecting the sheets in.

Extension activities

Challenge worksheet on equivalent fractions with justification-only questions.
Design your own equivalent fractions question and write the mark scheme for it.
Link equivalent fractions to the next subtopic in Fractions and explain the connection.
Ten-minute timed practice to convert accuracy into fluency.

Switch version

Same subtopic · same objectives · different job

Frequently asked

What exactly is in the download?: A 31-question, 54-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-GR8-68443, version v1.5 and a QR code back to this page.
Does it print correctly on US Letter?: Yes. Switch paper size in the download panel — margins and typography are identical, so nothing reflows or clips.
Is the answer key included?: The student copy prints clean. Toggle answers on to append the answer key, marking scheme and teacher pack.

Related resources

Tutoring

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