Free Grade 3 Introducing Determinants Techniques Flashcards
Free Grade 3 flashcards for Introducing Determinants Techniques: 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.
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25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing determinants techniques
Identify introducing determinants techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing determinants techniques
Explain introducing determinants techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing determinants techniques
Calculate introducing determinants techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing determinants techniques
Compare introducing determinants techniques 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 Techniques 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 12:18.[1]
- 2.Simplify the ratio 8:8.[1]
- 3.Simplify the ratio 40:40.[1]
- 4.Simplify the ratio 32:8.[1]
- 5.Share 48 in the ratio 4:2.[2]
- 6.Share 36 in the ratio 2:1.[2]
- 7.Share 88 in the ratio 5:3.[2]
- 8.Share 48 in the ratio 4:4.[2]
- 9.Share 40 in the ratio 4:4.[3]
- 10.Share 90 in the ratio 2:7.[3]
- 11.Share 132 in the ratio 4:7.[3]
- 12.Share 40 in the ratio 4:6.[3]
Show answers and working
1. 2:3
HCF of 12 and 18 is 6. Divide both parts by it: 2:3.
2. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
3. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
4. 4:1
HCF of 32 and 8 is 8. Divide both parts by it: 4:1.
5. 32 and 16
Total parts: 4 + 2 = 6. One part: 48 ÷ 6 = 8. 4 × 8 = 32, 2 × 8 = 16.
6. 24 and 12
Total parts: 2 + 1 = 3. One part: 36 ÷ 3 = 12. 2 × 12 = 24, 1 × 12 = 12.
7. 55 and 33
Total parts: 5 + 3 = 8. One part: 88 ÷ 8 = 11. 5 × 11 = 55, 3 × 11 = 33.
8. 24 and 24
Total parts: 4 + 4 = 8. One part: 48 ÷ 8 = 6. 4 × 6 = 24, 4 × 6 = 24.
9. 20 and 20
Total parts: 4 + 4 = 8. One part: 40 ÷ 8 = 5. 4 × 5 = 20, 4 × 5 = 20.
10. 20 and 70
Total parts: 2 + 7 = 9. One part: 90 ÷ 9 = 10. 2 × 10 = 20, 7 × 10 = 70.
11. 48 and 84
Total parts: 4 + 7 = 11. One part: 132 ÷ 11 = 12. 4 × 12 = 48, 7 × 12 = 84.
12. 16 and 24
Total parts: 4 + 6 = 10. One part: 40 ÷ 10 = 4. 4 × 4 = 16, 6 × 4 = 24.
Worked examples
Simplify the ratio 12:6.
- HCF of 12 and 6 is 6.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 32 in the ratio 3:5.
- Total parts: 3 + 5 = 8.
- One part: 32 ÷ 8 = 4.
- 3 × 4 = 12, 5 × 4 = 20.
- Answer: 12 and 20
Share 54 in the ratio 2:7.
- Total parts: 2 + 7 = 9.
- One part: 54 ÷ 9 = 6.
- 2 × 6 = 12, 7 × 6 = 42.
- Answer: 12 and 42
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 Techniques 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 Introducing Determinants Essentials, 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 Techniques?
- Move on to Introducing Determinants Word Problems, Introducing Determinants Common Errors, Working with Determinants, Determinants in Context, which build directly on this idea.
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