Free Grade 3 Collinearity Quizzes
Free Grade 3 quizzes for Collinearity: 12 real questions with a full answer key and worked solutions. An equation is a balance. Do the same thing to both sides until the letter is on its own, then check by substituting back.
Free
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain collinearity
Explain collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate collinearity
Calculate collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare collinearity
Compare collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify collinearity
Justify collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Collinearity works
An equation is a balance. Do the same thing to both sides until the letter is on its own, then check by substituting back.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Solve x + 2 = 5.[1]
- 2.Solve x + 2 = 6.[1]
- 3.Solve x + 3 = 5.[1]
- 4.Solve x + 5 = 9.[1]
- 5.Solve 3x + 9 = 9.[2]
- 6.Solve 6x + 3 = -21.[2]
- 7.Solve 4x + 8 = 56.[2]
- 8.Solve 3x + 15 = 6.[2]
- 9.Solve 7x + 13 = 1x + -47.[3]
- 10.Solve 8x + 6 = 5x + -15.[3]
- 11.Solve 7x + 1 = 3x + 37.[3]
- 12.Solve 4x + 2 = 3x + -6.[3]
Show answers and working
1. x = 3
Subtract 2 from both sides: x = 3. Check: 1 × 3 + 2 = 5.
2. x = 4
Subtract 2 from both sides: x = 4. Check: 1 × 4 + 2 = 6.
3. x = 2
Subtract 3 from both sides: x = 2. Check: 1 × 2 + 3 = 5.
4. x = 4
Subtract 5 from both sides: x = 4. Check: 1 × 4 + 5 = 9.
5. x = 0
Subtract 9 from both sides: 3x = 0. Divide by 3: x = 0. Check: 3 × 0 + 9 = 9.
6. x = -4
Subtract 3 from both sides: 6x = -24. Divide by 6: x = -4. Check: 6 × -4 + 3 = -21.
7. x = 12
Subtract 8 from both sides: 4x = 48. Divide by 4: x = 12. Check: 4 × 12 + 8 = 56.
8. x = -3
Subtract 15 from both sides: 3x = -9. Divide by 3: x = -3. Check: 3 × -3 + 15 = 6.
9. x = -10
Subtract 1x from both sides: 6x + 13 = -47. Subtract 13: 6x = -60. Divide by 6: x = -10.
10. x = -7
Subtract 5x from both sides: 3x + 6 = -15. Subtract 6: 3x = -21. Divide by 3: x = -7.
11. x = 9
Subtract 3x from both sides: 4x + 1 = 37. Subtract 1: 4x = 36. Divide by 4: x = 9.
12. x = -8
Subtract 3x from both sides: 1x + 2 = -6. Subtract 2: 1x = -8. Divide by 1: x = -8.
Worked examples
Solve x + 12 = 20.
- Subtract 12 from both sides: x = 8.
- Check: 1 × 8 + 12 = 20.
- Answer: x = 8
Solve 5x + 7 = 67.
- Subtract 7 from both sides: 5x = 60.
- Divide by 5: x = 12.
- Check: 5 × 12 + 7 = 67.
- Answer: x = 12
Solve 5x + 15 = 1x + -25.
- Subtract 1x from both sides: 4x + 15 = -25.
- Subtract 15: 4x = -40.
- Divide by 4: x = -10.
- Answer: x = -10
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Does an operation to only one side.
Correction: Keep the balance — both sides, every time.
Uses the wrong inverse (subtracts to undo multiplying).
Correction: Undo × with ÷ and + with −.
Teacher tips
- · Always ask pupils to substitute their answer back in.
Parent tips
- · 'I think of a number' puzzles at dinner.
Real-life applications
- · Working out an unknown price or time from a total.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Collinearity
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
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Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Collinearity quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Position Vectors, Vector Basics. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Collinearity?
- Move on to Vector Proof, Vector Basics, which build directly on this idea.
Related resources
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