Free Grade 3 Introducing Determinants Flashcards
Free Grade 3 flashcards 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
Stretch
15 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 36:24.[1]
- 2.Simplify the ratio 24:48.[1]
- 3.Simplify the ratio 12:60.[1]
- 4.Simplify the ratio 12:48.[1]
- 5.Share 63 in the ratio 1:6.[2]
- 6.Share 20 in the ratio 2:3.[2]
- 7.Share 121 in the ratio 5:6.[2]
- 8.Share 36 in the ratio 1:2.[2]
- 9.Share 60 in the ratio 5:1.[3]
- 10.Share 24 in the ratio 1:7.[3]
- 11.Share 80 in the ratio 5:3.[3]
- 12.Share 66 in the ratio 5:1.[3]
Show answers and working
1. 3:2
HCF of 36 and 24 is 12. Divide both parts by it: 3:2.
2. 1:2
HCF of 24 and 48 is 24. Divide both parts by it: 1:2.
3. 1:5
HCF of 12 and 60 is 12. Divide both parts by it: 1:5.
4. 1:4
HCF of 12 and 48 is 12. Divide both parts by it: 1:4.
5. 9 and 54
Total parts: 1 + 6 = 7. One part: 63 ÷ 7 = 9. 1 × 9 = 9, 6 × 9 = 54.
6. 8 and 12
Total parts: 2 + 3 = 5. One part: 20 ÷ 5 = 4. 2 × 4 = 8, 3 × 4 = 12.
7. 55 and 66
Total parts: 5 + 6 = 11. One part: 121 ÷ 11 = 11. 5 × 11 = 55, 6 × 11 = 66.
8. 12 and 24
Total parts: 1 + 2 = 3. One part: 36 ÷ 3 = 12. 1 × 12 = 12, 2 × 12 = 24.
9. 50 and 10
Total parts: 5 + 1 = 6. One part: 60 ÷ 6 = 10. 5 × 10 = 50, 1 × 10 = 10.
10. 3 and 21
Total parts: 1 + 7 = 8. One part: 24 ÷ 8 = 3. 1 × 3 = 3, 7 × 3 = 21.
11. 50 and 30
Total parts: 5 + 3 = 8. One part: 80 ÷ 8 = 10. 5 × 10 = 50, 3 × 10 = 30.
12. 55 and 11
Total parts: 5 + 1 = 6. One part: 66 ÷ 6 = 11. 5 × 11 = 55, 1 × 11 = 11.
Worked examples
Simplify the ratio 20:30.
- HCF of 20 and 30 is 10.
- Divide both parts by it: 2:3.
- Answer: 2:3
Share 27 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 27 ÷ 9 = 3.
- 4 × 3 = 12, 5 × 3 = 15.
- Answer: 12 and 15
Share 14 in the ratio 1:1.
- Total parts: 1 + 1 = 2.
- One part: 14 ÷ 2 = 7.
- 1 × 7 = 7, 1 × 7 = 7.
- Answer: 7 and 7
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.
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Frequently asked
- Is this Grade 3 Introducing Determinants flashcards really free?
- Yes. Every flashcards 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 flashcards 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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