Free Grade 3 Matrix Operations Quizzes
Free Grade 3 quizzes for Matrix Operations: 12 real questions with a full answer key and worked solutions. A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
Free
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain matrix operations
Explain matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate matrix operations
Calculate matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare matrix operations
Compare matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify matrix operations
Justify matrix operations 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 Matrix Operations works
A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Simplify the ratio 20:20.[1]
- 2.Simplify the ratio 48:48.[1]
- 3.Simplify the ratio 20:30.[1]
- 4.Simplify the ratio 24:32.[1]
- 5.Share 14 in the ratio 4:3.[2]
- 6.Share 30 in the ratio 1:5.[2]
- 7.Share 12 in the ratio 3:1.[2]
- 8.Share 10 in the ratio 3:2.[2]
- 9.Share 24 in the ratio 1:3.[3]
- 10.Share 42 in the ratio 4:2.[3]
- 11.Share 63 in the ratio 2:5.[3]
- 12.Share 60 in the ratio 3:2.[3]
Show answers and working
1. 1:1
HCF of 20 and 20 is 20. Divide both parts by it: 1:1.
2. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
3. 2:3
HCF of 20 and 30 is 10. Divide both parts by it: 2:3.
4. 3:4
HCF of 24 and 32 is 8. Divide both parts by it: 3:4.
5. 8 and 6
Total parts: 4 + 3 = 7. One part: 14 ÷ 7 = 2. 4 × 2 = 8, 3 × 2 = 6.
6. 5 and 25
Total parts: 1 + 5 = 6. One part: 30 ÷ 6 = 5. 1 × 5 = 5, 5 × 5 = 25.
7. 9 and 3
Total parts: 3 + 1 = 4. One part: 12 ÷ 4 = 3. 3 × 3 = 9, 1 × 3 = 3.
8. 6 and 4
Total parts: 3 + 2 = 5. One part: 10 ÷ 5 = 2. 3 × 2 = 6, 2 × 2 = 4.
9. 6 and 18
Total parts: 1 + 3 = 4. One part: 24 ÷ 4 = 6. 1 × 6 = 6, 3 × 6 = 18.
10. 28 and 14
Total parts: 4 + 2 = 6. One part: 42 ÷ 6 = 7. 4 × 7 = 28, 2 × 7 = 14.
11. 18 and 45
Total parts: 2 + 5 = 7. One part: 63 ÷ 7 = 9. 2 × 9 = 18, 5 × 9 = 45.
12. 36 and 24
Total parts: 3 + 2 = 5. One part: 60 ÷ 5 = 12. 3 × 12 = 36, 2 × 12 = 24.
Worked examples
Simplify the ratio 36:60.
- HCF of 36 and 60 is 12.
- Divide both parts by it: 3:5.
- Answer: 3:5
Share 24 in the ratio 1:5.
- Total parts: 1 + 5 = 6.
- One part: 24 ÷ 6 = 4.
- 1 × 4 = 4, 5 × 4 = 20.
- Answer: 4 and 20
Share 63 in the ratio 5:2.
- Total parts: 5 + 2 = 7.
- One part: 63 ÷ 7 = 9.
- 5 × 9 = 45, 2 × 9 = 18.
- Answer: 45 and 18
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Divides the total by the ratio numbers directly.
Correction: Add the parts first to find what one part is worth.
Writes the ratio in the wrong order.
Correction: Keep the order the question uses.
Teacher tips
- · Use bar models with equal-sized boxes for each part.
Parent tips
- · Make squash in a 1:4 ratio.
Real-life applications
- · Mixing paint or squash, scaling recipes.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Matrix Operations
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Matrix Operations 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 Vectors. 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 Matrix Operations?
- Move on to Number Sense, Algebra, Geometry, Measurement, which build directly on this idea.
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