Free Grade 3 Determinants in Context Quizzes
Free Grade 3 quizzes for Determinants in Context: 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
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain determinants in context
Explain determinants in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate determinants in context
Calculate determinants in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare determinants in context
Compare determinants in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify determinants in context
Justify determinants in context 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 in Context 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 4:20.[1]
- 2.Simplify the ratio 12:20.[1]
- 3.Simplify the ratio 20:20.[1]
- 4.Simplify the ratio 6:18.[1]
- 5.Share 54 in the ratio 5:1.[2]
- 6.Share 25 in the ratio 3:2.[2]
- 7.Share 33 in the ratio 5:6.[2]
- 8.Share 60 in the ratio 3:3.[2]
- 9.Share 70 in the ratio 5:2.[3]
- 10.Share 70 in the ratio 3:4.[3]
- 11.Share 24 in the ratio 5:3.[3]
- 12.Share 81 in the ratio 5:4.[3]
Show answers and working
1. 1:5
HCF of 4 and 20 is 4. Divide both parts by it: 1:5.
2. 3:5
HCF of 12 and 20 is 4. Divide both parts by it: 3:5.
3. 1:1
HCF of 20 and 20 is 20. Divide both parts by it: 1:1.
4. 1:3
HCF of 6 and 18 is 6. Divide both parts by it: 1:3.
5. 45 and 9
Total parts: 5 + 1 = 6. One part: 54 ÷ 6 = 9. 5 × 9 = 45, 1 × 9 = 9.
6. 15 and 10
Total parts: 3 + 2 = 5. One part: 25 ÷ 5 = 5. 3 × 5 = 15, 2 × 5 = 10.
7. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
8. 30 and 30
Total parts: 3 + 3 = 6. One part: 60 ÷ 6 = 10. 3 × 10 = 30, 3 × 10 = 30.
9. 50 and 20
Total parts: 5 + 2 = 7. One part: 70 ÷ 7 = 10. 5 × 10 = 50, 2 × 10 = 20.
10. 30 and 40
Total parts: 3 + 4 = 7. One part: 70 ÷ 7 = 10. 3 × 10 = 30, 4 × 10 = 40.
11. 15 and 9
Total parts: 5 + 3 = 8. One part: 24 ÷ 8 = 3. 5 × 3 = 15, 3 × 3 = 9.
12. 45 and 36
Total parts: 5 + 4 = 9. One part: 81 ÷ 9 = 9. 5 × 9 = 45, 4 × 9 = 36.
Worked examples
Simplify the ratio 16:20.
- HCF of 16 and 20 is 4.
- Divide both parts by it: 4:5.
- Answer: 4:5
Share 70 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 70 ÷ 7 = 10.
- 1 × 10 = 10, 6 × 10 = 60.
- Answer: 10 and 60
Share 40 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 40 ÷ 10 = 4.
- 5 × 4 = 20, 5 × 4 = 20.
- Answer: 20 and 20
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 in Context
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Frequently asked
- Is this Grade 3 Determinants in Context 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 Working with Determinants, Introducing Determinants, Identity Matrix. 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 in Context?
- Move on to Matrix Addition, Matrix Multiplication, Identity Matrix, Inverse Matrices, which build directly on this idea.
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