FreeMathWorksheet
FreeMathWorksheet

Interactive Worksheet

TN-MATH-TOEFL-98609 · v2.-6

Bar Charts

TOEFL · Math · Statistics · FBISE

Grade

TOEFL

Subject

Math

Topic

Statistics

Subtopic

Bar Charts

Curriculum

FBISE

Difficulty

Core

Time

20 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

  • Recognise bar charts accurately in math contexts.
  • Explain the underlying rule of bar charts in the student's own words.
  • Apply bar charts 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 20 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.Name one fact you already know about bar charts.

    [1]
  2. 2.Write down one fact you already know about bar charts.

    [1]
  3. 3.Circle one fact you already know about bar charts.

    [1]
  4. 4.Name one fact you already know about bar charts.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Complete the key term used in bar charts described here: item 1.

    [1]
  2. 2.Define the key term used in bar charts described here: item 2.

    [1]
  3. 3.Label the key term used in bar charts described here: item 3.

    [1]
  4. 4.Define the key term used in bar charts described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-TOEFL-98609 · v2.-6

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

Page 1 of 4

FreeMathWorksheet · TOEFL Math

Bar Charts

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Identify part 1 using the rule for bar charts.

    [1]
  2. 2.Match part 2 using the rule for bar charts.

    [1]
  3. 3.Match part 3 using the rule for bar charts.

    [1]
  4. 4.Complete part 4 using the rule for bar charts.

    [1]
  5. 5.Work out part 5 using the rule for bar charts.

    [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.Complete the method for part 3. Step 1 has been started for you.

    [2]
  4. 4.Complete the method for part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-TOEFL-98609 · v2.-6

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

Page 2 of 4

FreeMathWorksheet · TOEFL Math

Bar Charts

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on bar charts without help.

    [2]
  2. 2.Determine part 2 on bar charts without help.

    [2]
  3. 3.Solve part 3 on bar charts without help.

    [2]
  4. 4.Work out fully part 4 on bar charts without help.

    [2]
  5. 5.Determine part 5 on bar charts 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 bar charts.

    [3]
  2. 2.Prove the statement in part 2 about bar charts.

    [3]
  3. 3.Find and justify the statement in part 3 about bar charts.

    [3]

FreeMathWorksheet · TN-MATH-TOEFL-98609 · v2.-6

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

Page 3 of 4

FreeMathWorksheet · TOEFL Math

Bar Charts

Real-life Application

Bloom: Apply · 6 marks

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

  1. 1.In context, work out a real math situation that depends on bar charts.

    [3]
  2. 2.In context, work out a real math situation that depends on bar charts.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Compare and justify a student's method for bar charts is or is not efficient.

    [4]
  2. 2.Explain why a student's method for bar charts is or is not efficient.

    [4]

Reflection

Bloom: Create · 0 marks

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

  1. 1.Record how confident you feel with bar charts and what you will practise next.

    [—]
  2. 2.Describe how confident you feel with bar charts and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-TOEFL-98609 · v2.-6

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

Page 4 of 4