Free Grade 3 Introducing Determinants Common Errors Quizzes
Free Grade 3 quizzes for Introducing Determinants Common Errors: 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 common errors
Identify introducing determinants common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing determinants common errors
Explain introducing determinants common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing determinants common errors
Calculate introducing determinants common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing determinants common errors
Compare introducing determinants common errors 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 Common Errors 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 4:8.[1]
- 2.Simplify the ratio 18:12.[1]
- 3.Simplify the ratio 12:12.[1]
- 4.Simplify the ratio 40:16.[1]
- 5.Share 63 in the ratio 5:2.[2]
- 6.Share 18 in the ratio 1:5.[2]
- 7.Share 63 in the ratio 3:6.[2]
- 8.Share 66 in the ratio 2:4.[2]
- 9.Share 72 in the ratio 2:7.[3]
- 10.Share 30 in the ratio 3:3.[3]
- 11.Share 60 in the ratio 5:7.[3]
- 12.Share 32 in the ratio 2:2.[3]
Show answers and working
1. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
2. 3:2
HCF of 18 and 12 is 6. Divide both parts by it: 3:2.
3. 1:1
HCF of 12 and 12 is 12. Divide both parts by it: 1:1.
4. 5:2
HCF of 40 and 16 is 8. Divide both parts by it: 5:2.
5. 45 and 18
Total parts: 5 + 2 = 7. One part: 63 ÷ 7 = 9. 5 × 9 = 45, 2 × 9 = 18.
6. 3 and 15
Total parts: 1 + 5 = 6. One part: 18 ÷ 6 = 3. 1 × 3 = 3, 5 × 3 = 15.
7. 21 and 42
Total parts: 3 + 6 = 9. One part: 63 ÷ 9 = 7. 3 × 7 = 21, 6 × 7 = 42.
8. 22 and 44
Total parts: 2 + 4 = 6. One part: 66 ÷ 6 = 11. 2 × 11 = 22, 4 × 11 = 44.
9. 16 and 56
Total parts: 2 + 7 = 9. One part: 72 ÷ 9 = 8. 2 × 8 = 16, 7 × 8 = 56.
10. 15 and 15
Total parts: 3 + 3 = 6. One part: 30 ÷ 6 = 5. 3 × 5 = 15, 3 × 5 = 15.
11. 25 and 35
Total parts: 5 + 7 = 12. One part: 60 ÷ 12 = 5. 5 × 5 = 25, 7 × 5 = 35.
12. 16 and 16
Total parts: 2 + 2 = 4. One part: 32 ÷ 4 = 8. 2 × 8 = 16, 2 × 8 = 16.
Worked examples
Simplify the ratio 60:12.
- HCF of 60 and 12 is 12.
- Divide both parts by it: 5:1.
- Answer: 5:1
Share 28 in the ratio 3:1.
- Total parts: 3 + 1 = 4.
- One part: 28 ÷ 4 = 7.
- 3 × 7 = 21, 1 × 7 = 7.
- Answer: 21 and 7
Share 36 in the ratio 2:7.
- Total parts: 2 + 7 = 9.
- One part: 36 ÷ 9 = 4.
- 2 × 4 = 8, 7 × 4 = 28.
- Answer: 8 and 28
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 Common Errors 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 Word Problems, Introducing Determinants Techniques, 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 Common Errors?
- Move on to Working with Determinants, Determinants in Context, which build directly on this idea.
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