Free Grade 3 Introducing Determinants Essentials Quizzes
Free Grade 3 quizzes for Introducing Determinants Essentials: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing determinants essentials
Identify introducing determinants essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing determinants essentials
Explain introducing determinants essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing determinants essentials
Calculate introducing determinants essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing determinants essentials
Compare introducing determinants essentials 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 Essentials 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 12:30.[1]
- 2.Simplify the ratio 24:48.[1]
- 3.Simplify the ratio 30:30.[1]
- 4.Simplify the ratio 50:20.[1]
- 5.Share 64 in the ratio 3:5.[2]
- 6.Share 54 in the ratio 4:5.[2]
- 7.Share 50 in the ratio 2:3.[2]
- 8.Share 30 in the ratio 5:5.[2]
- 9.Share 110 in the ratio 4:6.[3]
- 10.Share 15 in the ratio 4:1.[3]
- 11.Share 72 in the ratio 5:7.[3]
- 12.Share 64 in the ratio 5:3.[3]
Show answers and working
1. 2:5
HCF of 12 and 30 is 6. Divide both parts by it: 2:5.
2. 1:2
HCF of 24 and 48 is 24. Divide both parts by it: 1:2.
3. 1:1
HCF of 30 and 30 is 30. Divide both parts by it: 1:1.
4. 5:2
HCF of 50 and 20 is 10. Divide both parts by it: 5:2.
5. 24 and 40
Total parts: 3 + 5 = 8. One part: 64 ÷ 8 = 8. 3 × 8 = 24, 5 × 8 = 40.
6. 24 and 30
Total parts: 4 + 5 = 9. One part: 54 ÷ 9 = 6. 4 × 6 = 24, 5 × 6 = 30.
7. 20 and 30
Total parts: 2 + 3 = 5. One part: 50 ÷ 5 = 10. 2 × 10 = 20, 3 × 10 = 30.
8. 15 and 15
Total parts: 5 + 5 = 10. One part: 30 ÷ 10 = 3. 5 × 3 = 15, 5 × 3 = 15.
9. 44 and 66
Total parts: 4 + 6 = 10. One part: 110 ÷ 10 = 11. 4 × 11 = 44, 6 × 11 = 66.
10. 12 and 3
Total parts: 4 + 1 = 5. One part: 15 ÷ 5 = 3. 4 × 3 = 12, 1 × 3 = 3.
11. 30 and 42
Total parts: 5 + 7 = 12. One part: 72 ÷ 12 = 6. 5 × 6 = 30, 7 × 6 = 42.
12. 40 and 24
Total parts: 5 + 3 = 8. One part: 64 ÷ 8 = 8. 5 × 8 = 40, 3 × 8 = 24.
Worked examples
Simplify the ratio 12:60.
- HCF of 12 and 60 is 12.
- Divide both parts by it: 1:5.
- Answer: 1:5
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
Share 42 in the ratio 5:2.
- Total parts: 5 + 2 = 7.
- One part: 42 ÷ 7 = 6.
- 5 × 6 = 30, 2 × 6 = 12.
- Answer: 30 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
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Frequently asked
- Is this Grade 3 Introducing Determinants Essentials 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 Essentials?
- Move on to Introducing Determinants Techniques, Introducing Determinants Word Problems, Introducing Determinants Common Errors, Working with Determinants, which build directly on this idea.
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