Free Grade 3 Introducing Determinants Quizzes
Free Grade 3 quizzes for Introducing 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing determinants
Identify introducing determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing determinants
Explain introducing determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing determinants
Calculate introducing determinants accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing determinants
Compare introducing 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 Introducing 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 50:10.[1]
- 2.Simplify the ratio 24:8.[1]
- 3.Simplify the ratio 8:8.[1]
- 4.Simplify the ratio 24:30.[1]
- 5.Share 20 in the ratio 1:3.[2]
- 6.Share 36 in the ratio 2:2.[2]
- 7.Share 36 in the ratio 5:4.[2]
- 8.Share 96 in the ratio 4:4.[2]
- 9.Share 30 in the ratio 4:2.[3]
- 10.Share 49 in the ratio 4:3.[3]
- 11.Share 33 in the ratio 5:6.[3]
- 12.Share 30 in the ratio 2:3.[3]
Show answers and working
1. 5:1
HCF of 50 and 10 is 10. Divide both parts by it: 5:1.
2. 3:1
HCF of 24 and 8 is 8. Divide both parts by it: 3:1.
3. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
4. 4:5
HCF of 24 and 30 is 6. Divide both parts by it: 4:5.
5. 5 and 15
Total parts: 1 + 3 = 4. One part: 20 ÷ 4 = 5. 1 × 5 = 5, 3 × 5 = 15.
6. 18 and 18
Total parts: 2 + 2 = 4. One part: 36 ÷ 4 = 9. 2 × 9 = 18, 2 × 9 = 18.
7. 20 and 16
Total parts: 5 + 4 = 9. One part: 36 ÷ 9 = 4. 5 × 4 = 20, 4 × 4 = 16.
8. 48 and 48
Total parts: 4 + 4 = 8. One part: 96 ÷ 8 = 12. 4 × 12 = 48, 4 × 12 = 48.
9. 20 and 10
Total parts: 4 + 2 = 6. One part: 30 ÷ 6 = 5. 4 × 5 = 20, 2 × 5 = 10.
10. 28 and 21
Total parts: 4 + 3 = 7. One part: 49 ÷ 7 = 7. 4 × 7 = 28, 3 × 7 = 21.
11. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
12. 12 and 18
Total parts: 2 + 3 = 5. One part: 30 ÷ 5 = 6. 2 × 6 = 12, 3 × 6 = 18.
Worked examples
Simplify the ratio 16:40.
- HCF of 16 and 40 is 8.
- Divide both parts by it: 2:5.
- Answer: 2:5
Share 15 in the ratio 3:2.
- Total parts: 3 + 2 = 5.
- One part: 15 ÷ 5 = 3.
- 3 × 3 = 9, 2 × 3 = 6.
- Answer: 9 and 6
Share 45 in the ratio 3:2.
- Total parts: 3 + 2 = 5.
- One part: 45 ÷ 5 = 9.
- 3 × 9 = 27, 2 × 9 = 18.
- Answer: 27 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 Introducing Determinants
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Frequently asked
- Is this Grade 3 Introducing 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. 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 Introducing Determinants?
- Move on to Working with Determinants, Determinants in Context, Matrix Addition, Matrix Multiplication, which build directly on this idea.
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