Free Grade 3 Working with Determinants Quizzes
Free Grade 3 quizzes for Working with 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with determinants
Identify working with determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with determinants
Explain working with determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with determinants
Calculate working with determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with determinants
Compare working with 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 Working with 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 50:30.[1]
- 2.Simplify the ratio 16:40.[1]
- 3.Simplify the ratio 10:50.[1]
- 4.Simplify the ratio 6:18.[1]
- 5.Share 60 in the ratio 1:5.[2]
- 6.Share 12 in the ratio 2:2.[2]
- 7.Share 32 in the ratio 2:2.[2]
- 8.Share 20 in the ratio 4:1.[2]
- 9.Share 55 in the ratio 4:7.[3]
- 10.Share 88 in the ratio 4:4.[3]
- 11.Share 36 in the ratio 4:5.[3]
- 12.Share 48 in the ratio 2:2.[3]
Show answers and working
1. 5:3
HCF of 50 and 30 is 10. Divide both parts by it: 5:3.
2. 2:5
HCF of 16 and 40 is 8. Divide both parts by it: 2:5.
3. 1:5
HCF of 10 and 50 is 10. Divide both parts by it: 1:5.
4. 1:3
HCF of 6 and 18 is 6. Divide both parts by it: 1:3.
5. 10 and 50
Total parts: 1 + 5 = 6. One part: 60 ÷ 6 = 10. 1 × 10 = 10, 5 × 10 = 50.
6. 6 and 6
Total parts: 2 + 2 = 4. One part: 12 ÷ 4 = 3. 2 × 3 = 6, 2 × 3 = 6.
7. 16 and 16
Total parts: 2 + 2 = 4. One part: 32 ÷ 4 = 8. 2 × 8 = 16, 2 × 8 = 16.
8. 16 and 4
Total parts: 4 + 1 = 5. One part: 20 ÷ 5 = 4. 4 × 4 = 16, 1 × 4 = 4.
9. 20 and 35
Total parts: 4 + 7 = 11. One part: 55 ÷ 11 = 5. 4 × 5 = 20, 7 × 5 = 35.
10. 44 and 44
Total parts: 4 + 4 = 8. One part: 88 ÷ 8 = 11. 4 × 11 = 44, 4 × 11 = 44.
11. 16 and 20
Total parts: 4 + 5 = 9. One part: 36 ÷ 9 = 4. 4 × 4 = 16, 5 × 4 = 20.
12. 24 and 24
Total parts: 2 + 2 = 4. One part: 48 ÷ 4 = 12. 2 × 12 = 24, 2 × 12 = 24.
Worked examples
Simplify the ratio 18:18.
- HCF of 18 and 18 is 18.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 20 in the ratio 1:4.
- Total parts: 1 + 4 = 5.
- One part: 20 ÷ 5 = 4.
- 1 × 4 = 4, 4 × 4 = 16.
- Answer: 4 and 16
Share 36 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 36 ÷ 6 = 6.
- 4 × 6 = 24, 2 × 6 = 12.
- Answer: 24 and 12
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 Working with Determinants
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Frequently asked
- Is this Grade 3 Working with 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 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 Working with Determinants?
- Move on to Determinants in Context, Matrix Addition, Matrix Multiplication, Identity Matrix, which build directly on this idea.
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