FreeMathWorksheet
FreeMathWorksheet

Mixed Difficulty

TN-MATH-GR9-66385 · v1.-4

Adding Fractions

Grade 9 · Math · Fractions · College Board (AP/SAT)

Grade

Grade 9

Subject

Math

Topic

Fractions

Subtopic

Adding Fractions

Curriculum

College Board (AP/SAT)

Difficulty

Mixed

Time

35 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

  • Recognise adding fractions accurately in math contexts.
  • Explain the underlying rule of adding fractions in the student's own words.
  • Apply adding 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

  1. Write your name, your teacher's name and the date in the header.
  2. Answer every question in the space provided. Continue on the back if needed.
  3. Show all working — method marks are awarded even when the final answer is wrong.
  4. Aim to finish in about 35 minutes.
  5. 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. 1.State one fact you already know about adding fractions.

    [1]
  2. 2.Name one fact you already know about adding fractions.

    [1]
  3. 3.Name one fact you already know about adding fractions.

    [1]
  4. 4.Write down one fact you already know about adding fractions.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.List the key term used in adding fractions described here: item 1.

    [1]
  2. 2.List the key term used in adding fractions described here: item 2.

    [1]
  3. 3.Label the key term used in adding fractions described here: item 3.

    [1]
  4. 4.Complete the key term used in adding fractions described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-GR9-66385 · v1.-4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 1 of 4

FreeMathWorksheet · Grade 9 Math

Adding Fractions

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for adding fractions.

    [1]
  2. 2.Match part 2 using the rule for adding fractions.

    [1]
  3. 3.Identify part 3 using the rule for adding fractions.

    [1]
  4. 4.Identify part 4 using the rule for adding fractions.

    [1]
  5. 5.Match part 5 using the rule for adding fractions.

    [1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

  1. 1.Continue the working for part 1. Step 1 has been started for you.

    [2]
  2. 2.Complete the method for part 2. Step 1 has been started for you.

    [2]
  3. 3.Continue the working for part 3. Step 1 has been started for you.

    [2]
  4. 4.Using the first step given, finish part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-GR9-66385 · v1.-4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 2 of 4

FreeMathWorksheet · Grade 9 Math

Adding Fractions

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Calculate part 1 on adding fractions without help.

    [2]
  2. 2.Work out fully part 2 on adding fractions without help.

    [2]
  3. 3.Work out fully part 3 on adding fractions without help.

    [2]
  4. 4.Solve part 4 on adding fractions without help.

    [2]
  5. 5.Solve part 5 on adding fractions without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Show that the statement in part 1 about adding fractions.

    [3]
  2. 2.Prove the statement in part 2 about adding fractions.

    [3]
  3. 3.Prove the statement in part 3 about adding fractions.

    [3]

FreeMathWorksheet · TN-MATH-GR9-66385 · v1.-4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 3 of 4

FreeMathWorksheet · Grade 9 Math

Adding Fractions

Real-life Application

Bloom: Apply · 6 marks

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

  1. 1.Apply a real math situation that depends on adding fractions.

    [3]
  2. 2.Use the information to decide a real math situation that depends on adding fractions.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Evaluate whether a student's method for adding fractions is or is not efficient.

    [4]
  2. 2.Evaluate whether a student's method for adding fractions is or is not efficient.

    [4]

Reflection

Bloom: Create · 0 marks

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

  1. 1.Describe how confident you feel with adding fractions and what you will practise next.

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

    [—]

FreeMathWorksheet · TN-MATH-GR9-66385 · v1.-4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 4 of 4