FreeMathWorksheet
Worksheet · TN-MATH-TOEFL-33989 · v2.-4

Frequency Tables — Practice Worksheet

A single-focus worksheet on frequency tables for TOEFL Math. Nothing else from statistics is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

CoreFBISE30 min54 marksNo answers on sheet

The full pedagogical ladder, warm-up to reflection.

Grade

TOEFL

Subject

Math

Topic

Statistics

Subtopic

Frequency Tables

Curriculum

FBISE

Difficulty

Core

Time

30 min

Questions

31

Total marks

54

Worksheet ID

TN-MATH-TOEFL-33989

Version

v2.-4

Format

A4 · US Letter

Preview & download

Print-ready · high-resolution PDF · minimal ink
FreeMathWorksheet

Practice Worksheet

TN-MATH-TOEFL-33989 · v2.-4

Frequency Tables

TOEFL · Math · Statistics · FBISE

Grade

TOEFL

Subject

Math

Topic

Statistics

Subtopic

Frequency Tables

Curriculum

FBISE

Difficulty

Core

Time

30 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

  • Recognise frequency tables accurately in math contexts.
  • Explain the underlying rule of frequency tables in the student's own words.
  • Apply frequency tables 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 30 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 frequency tables.

    [1]
  2. 2.Name one fact you already know about frequency tables.

    [1]
  3. 3.Write down one fact you already know about frequency tables.

    [1]
  4. 4.Name one fact you already know about frequency tables.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Define the key term used in frequency tables described here: item 1.

    [1]
  2. 2.Label the key term used in frequency tables described here: item 2.

    [1]
  3. 3.Label the key term used in frequency tables described here: item 3.

    [1]
  4. 4.Define the key term used in frequency tables described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-TOEFL-33989 · v2.-4

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

Page 1 of 4

FreeMathWorksheet · TOEFL Math

Frequency Tables

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Work out part 1 using the rule for frequency tables.

    [1]
  2. 2.Match part 2 using the rule for frequency tables.

    [1]
  3. 3.Identify part 3 using the rule for frequency tables.

    [1]
  4. 4.Work out part 4 using the rule for frequency tables.

    [1]
  5. 5.Complete part 5 using the rule for frequency tables.

    [1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

  1. 1.Using the first step given, finish 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.Complete the method for part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-TOEFL-33989 · v2.-4

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

Page 2 of 4

FreeMathWorksheet · TOEFL Math

Frequency Tables

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Work out fully part 1 on frequency tables without help.

    [2]
  2. 2.Solve part 2 on frequency tables without help.

    [2]
  3. 3.Work out fully part 3 on frequency tables without help.

    [2]
  4. 4.Work out fully part 4 on frequency tables without help.

    [2]
  5. 5.Work out fully part 5 on frequency tables without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Prove the statement in part 1 about frequency tables.

    [3]
  2. 2.Prove the statement in part 2 about frequency tables.

    [3]
  3. 3.Prove the statement in part 3 about frequency tables.

    [3]

FreeMathWorksheet · TN-MATH-TOEFL-33989 · v2.-4

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

Page 3 of 4

FreeMathWorksheet · TOEFL Math

Frequency Tables

Real-life Application

Bloom: Apply · 6 marks

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

  1. 1.Use the information to decide a real math situation that depends on frequency tables.

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

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Explain why a student's method for frequency tables is or is not efficient.

    [4]
  2. 2.Explain why a student's method for frequency tables 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 frequency tables and what you will practise next.

    [—]
  2. 2.Reflect on how confident you feel with frequency tables and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-TOEFL-33989 · v2.-4

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

Page 4 of 4

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to TOEFL, and every rung stays on frequency tables only.

  1. 01Warm-up

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

    Remember4 questions4 marks
  2. 02Recall

    Complete from memory. No calculator, no notes.

    Remember4 questions4 marks
  3. 03Basic Practice

    Work through each item. Show the step you used.

    Understand5 questions5 marks
  4. 04Guided Practice

    The first step is given. Finish the reasoning.

    Understand4 questions8 marks
  5. 05Independent Practice

    No scaffolding. Set out your full method.

    Apply5 questions10 marks
  6. 06Challenge Questions

    Harder items. Attempt every one, even partially.

    Analyse3 questions9 marks
  7. 07Real-life Application

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

    Apply2 questions6 marks
  8. 08Critical Thinking

    Explain your reasoning in full sentences.

    Evaluate2 questions8 marks
  9. 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 frequency tables 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 Statistics.

Common student mistakes

  • Confusing frequency tables with a neighbouring idea in statistics.

Teaching tips

  • Model one worked example of frequency tables 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 frequency tables with justification-only questions.
  • Design your own frequency tables question and write the mark scheme for it.
  • Link frequency tables to the next subtopic in Statistics 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-TOEFL-33989, version v2.-4 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.

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