Free Grade 3 Determinants Quizzes
Free Grade 3 quizzes for Determinants: 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
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify determinants
Identify determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain determinants
Explain determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate determinants
Calculate determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare determinants
Compare determinants 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 Determinants 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 24:24.[1]
- 2.Simplify the ratio 4:16.[1]
- 3.Simplify the ratio 50:20.[1]
- 4.Simplify the ratio 10:50.[1]
- 5.Share 30 in the ratio 5:5.[2]
- 6.Share 10 in the ratio 4:1.[2]
- 7.Share 15 in the ratio 2:3.[2]
- 8.Share 72 in the ratio 3:6.[2]
- 9.Share 55 in the ratio 5:6.[3]
- 10.Share 108 in the ratio 5:4.[3]
- 11.Share 24 in the ratio 5:1.[3]
- 12.Share 84 in the ratio 5:7.[3]
Show answers and working
1. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
2. 1:4
HCF of 4 and 16 is 4. Divide both parts by it: 1:4.
3. 5:2
HCF of 50 and 20 is 10. Divide both parts by it: 5:2.
4. 1:5
HCF of 10 and 50 is 10. Divide both parts by it: 1:5.
5. 15 and 15
Total parts: 5 + 5 = 10. One part: 30 ÷ 10 = 3. 5 × 3 = 15, 5 × 3 = 15.
6. 8 and 2
Total parts: 4 + 1 = 5. One part: 10 ÷ 5 = 2. 4 × 2 = 8, 1 × 2 = 2.
7. 6 and 9
Total parts: 2 + 3 = 5. One part: 15 ÷ 5 = 3. 2 × 3 = 6, 3 × 3 = 9.
8. 24 and 48
Total parts: 3 + 6 = 9. One part: 72 ÷ 9 = 8. 3 × 8 = 24, 6 × 8 = 48.
9. 25 and 30
Total parts: 5 + 6 = 11. One part: 55 ÷ 11 = 5. 5 × 5 = 25, 6 × 5 = 30.
10. 60 and 48
Total parts: 5 + 4 = 9. One part: 108 ÷ 9 = 12. 5 × 12 = 60, 4 × 12 = 48.
11. 20 and 4
Total parts: 5 + 1 = 6. One part: 24 ÷ 6 = 4. 5 × 4 = 20, 1 × 4 = 4.
12. 35 and 49
Total parts: 5 + 7 = 12. One part: 84 ÷ 12 = 7. 5 × 7 = 35, 7 × 7 = 49.
Worked examples
Simplify the ratio 16:12.
- HCF of 16 and 12 is 4.
- Divide both parts by it: 4:3.
- Answer: 4:3
Share 56 in the ratio 3:5.
- Total parts: 3 + 5 = 8.
- One part: 56 ÷ 8 = 7.
- 3 × 7 = 21, 5 × 7 = 35.
- Answer: 21 and 35
Share 30 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 30 ÷ 3 = 10.
- 2 × 10 = 20, 1 × 10 = 10.
- Answer: 20 and 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.
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 Determinants
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Learn — Meet the idea.
Practice — Build fluency.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Determinants 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 Identity Matrix, Matrix Multiplication, 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 Determinants?
- Move on to Inverse Matrices, which build directly on this idea.
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