Free Grade 3 Introducing Determinants Essentials Flashcards
Free Grade 3 flashcards 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.
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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 18:18.[1]
- 2.Simplify the ratio 48:48.[1]
- 3.Simplify the ratio 18:30.[1]
- 4.Simplify the ratio 20:20.[1]
- 5.Share 36 in the ratio 2:1.[2]
- 6.Share 40 in the ratio 3:1.[2]
- 7.Share 18 in the ratio 2:4.[2]
- 8.Share 12 in the ratio 4:2.[2]
- 9.Share 42 in the ratio 4:2.[3]
- 10.Share 48 in the ratio 1:5.[3]
- 11.Share 16 in the ratio 1:3.[3]
- 12.Share 18 in the ratio 4:5.[3]
Show answers and working
1. 1:1
HCF of 18 and 18 is 18. Divide both parts by it: 1:1.
2. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
3. 3:5
HCF of 18 and 30 is 6. Divide both parts by it: 3:5.
4. 1:1
HCF of 20 and 20 is 20. Divide both parts by it: 1:1.
5. 24 and 12
Total parts: 2 + 1 = 3. One part: 36 ÷ 3 = 12. 2 × 12 = 24, 1 × 12 = 12.
6. 30 and 10
Total parts: 3 + 1 = 4. One part: 40 ÷ 4 = 10. 3 × 10 = 30, 1 × 10 = 10.
7. 6 and 12
Total parts: 2 + 4 = 6. One part: 18 ÷ 6 = 3. 2 × 3 = 6, 4 × 3 = 12.
8. 8 and 4
Total parts: 4 + 2 = 6. One part: 12 ÷ 6 = 2. 4 × 2 = 8, 2 × 2 = 4.
9. 28 and 14
Total parts: 4 + 2 = 6. One part: 42 ÷ 6 = 7. 4 × 7 = 28, 2 × 7 = 14.
10. 8 and 40
Total parts: 1 + 5 = 6. One part: 48 ÷ 6 = 8. 1 × 8 = 8, 5 × 8 = 40.
11. 4 and 12
Total parts: 1 + 3 = 4. One part: 16 ÷ 4 = 4. 1 × 4 = 4, 3 × 4 = 12.
12. 8 and 10
Total parts: 4 + 5 = 9. One part: 18 ÷ 9 = 2. 4 × 2 = 8, 5 × 2 = 10.
Worked examples
Simplify the ratio 12:48.
- HCF of 12 and 48 is 12.
- Divide both parts by it: 1:4.
- Answer: 1:4
Share 6 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 6 ÷ 3 = 2.
- 2 × 2 = 4, 1 × 2 = 2.
- Answer: 4 and 2
Share 84 in the ratio 4:3.
- Total parts: 4 + 3 = 7.
- One part: 84 ÷ 7 = 12.
- 4 × 12 = 48, 3 × 12 = 36.
- Answer: 48 and 36
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 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 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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