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Worksheet · TN-MATH-GR2-68291 · v2.-6

Cosine Ratio — Worksheet with Answers

A single-focus worksheet on cosine ratio for Grade 2 Math. Nothing else from trigonometry is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

CoreEdexcel30 min21 marksAnswers included

Self-marking copy with worked solutions.

Grade

Grade 2

Subject

Math

Topic

Trigonometry

Subtopic

Cosine Ratio

Curriculum

Edexcel

Difficulty

Core

Time

30 min

Questions

19

Total marks

21

Worksheet ID

TN-MATH-GR2-68291

Version

v2.-6

Format

A4 · US Letter

Preview & download

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

Worksheet with Answers

TN-MATH-GR2-68291 · v2.-6

Cosine Ratio

Grade 2 · Math · Trigonometry · Edexcel

Grade

Grade 2

Subject

Math

Topic

Trigonometry

Subtopic

Cosine Ratio

Curriculum

Edexcel

Difficulty

Core

Time

30 minutes

Total marks

21

Student name

Teacher name

Date

Learning objectives

  • Recognise cosine ratio accurately in math contexts.
  • Explain the underlying rule of cosine ratio in the student's own words.
  • Apply cosine ratio 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.Write down one fact you already know about cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  2. 2.Name one fact you already know about cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  3. 3.Name one fact you already know about cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  4. 4.Name one fact you already know about cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.List the key term used in cosine ratio described here: item 1.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  2. 2.Label the key term used in cosine ratio described here: item 2.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  3. 3.List the key term used in cosine ratio described here: item 3.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  4. 4.Define the key term used in cosine ratio described here: item 4.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

FreeMathWorksheet · TN-MATH-GR2-68291 · v2.-6

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

Page 1 of 5

FreeMathWorksheet · Grade 2 Math

Cosine Ratio

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Match part 1 using the rule for cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  2. 2.Match part 2 using the rule for cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  3. 3.Match part 3 using the rule for cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  4. 4.Match part 4 using the rule for cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

  5. 5.Identify part 5 using the rule for cosine ratio.

    [1]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

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]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

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

    [2]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

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

    [2]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

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

    [2]

    AnswerAccept any correct response that applies the cosine ratio rule accurately.

FreeMathWorksheet · TN-MATH-GR2-68291 · v2.-6

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

Page 2 of 5

FreeMathWorksheet · Grade 2 Math

Cosine Ratio

Reflection

Bloom: Create · 0 marks

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

  1. 1.Describe how confident you feel with cosine ratio and what you will practise next.

    [—]

    AnswerStudent response — not marked.

  2. 2.Reflect on how confident you feel with cosine ratio and what you will practise next.

    [—]

    AnswerStudent response — not marked.

FreeMathWorksheet · TN-MATH-GR2-68291 · v2.-6

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

Page 3 of 5

FreeMathWorksheet

Answer key · Cosine Ratio

Warm-up

  1. 1.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  3. 3.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  4. 4.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Recall

  1. 1.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  3. 3.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  4. 4.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Basic Practice

  1. 1.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  3. 3.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  4. 4.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  5. 5.Accept any correct response that applies the cosine ratio rule accurately.[1]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Guided Practice

  1. 1.Accept any correct response that applies the cosine ratio rule accurately.[2]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the cosine ratio rule accurately.[2]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  3. 3.Accept any correct response that applies the cosine ratio rule accurately.[2]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  4. 4.Accept any correct response that applies the cosine ratio rule accurately.[2]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Reflection

  1. 1.Student response — not marked.[0]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Student response — not marked.[0]

    1. Recall the definition that underpins cosine ratio.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

FreeMathWorksheet · TN-MATH-GR2-68291 · v2.-6

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

Page 4 of 5

FreeMathWorksheet

Teacher pack · Cosine Ratio

Marking scheme

BandMarksDescriptor
Mastered18–21Applies cosine ratio fluently, including in unfamiliar contexts, with clear justification.
Secure14–17Reliable in routine questions; reasoning is mostly complete.
Developing8–13Secure in scaffolded items, inconsistent once support is removed.
Emerging0–7Needs re-teaching of the core rule before progressing.

Teacher notes

  • Set the warm-up as a five-minute starter; it diagnoses readiness for cosine ratio 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 Trigonometry.

Common student mistakes

  • Confusing cosine ratio with a neighbouring idea in trigonometry.

Teaching tips

  • Model one worked example of cosine ratio 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 cosine ratio with justification-only questions.
  • Design your own cosine ratio question and write the mark scheme for it.
  • Link cosine ratio to the next subtopic in Trigonometry and explain the connection.
  • Ten-minute timed practice to convert accuracy into fluency.

FreeMathWorksheet · TN-MATH-GR2-68291 · v2.-6

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

Page 5 of 5

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to Grade 2, and every rung stays on cosine ratio 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. 05Reflection

    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 cosine ratio 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 Trigonometry.

Common student mistakes

  • Confusing cosine ratio with a neighbouring idea in trigonometry.

Teaching tips

  • Model one worked example of cosine ratio 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 cosine ratio with justification-only questions.
  • Design your own cosine ratio question and write the mark scheme for it.
  • Link cosine ratio to the next subtopic in Trigonometry 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 19-question, 21-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-GR2-68291, version v2.-6 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?
This version prints answers inline, followed by the full solutions and teacher pack pages.

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