Free Grade 3 Introducing Definite Integrals Essentials Flashcards
Free Grade 3 flashcards for Introducing Definite Integrals 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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15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing definite integrals essentials
Identify introducing definite integrals essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing definite integrals essentials
Explain introducing definite integrals essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing definite integrals essentials
Calculate introducing definite integrals essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing definite integrals essentials
Compare introducing definite integrals 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 Definite Integrals 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 32:24.[1]
- 2.Simplify the ratio 30:6.[1]
- 3.Simplify the ratio 24:18.[1]
- 4.Simplify the ratio 18:12.[1]
- 5.Share 56 in the ratio 5:3.[2]
- 6.Share 54 in the ratio 5:4.[2]
- 7.Share 6 in the ratio 2:1.[2]
- 8.Share 40 in the ratio 3:1.[2]
- 9.Share 24 in the ratio 3:1.[3]
- 10.Share 14 in the ratio 3:4.[3]
- 11.Share 20 in the ratio 4:6.[3]
- 12.Share 30 in the ratio 4:2.[3]
Show answers and working
1. 4:3
HCF of 32 and 24 is 8. Divide both parts by it: 4:3.
2. 5:1
HCF of 30 and 6 is 6. Divide both parts by it: 5:1.
3. 4:3
HCF of 24 and 18 is 6. Divide both parts by it: 4:3.
4. 3:2
HCF of 18 and 12 is 6. Divide both parts by it: 3:2.
5. 35 and 21
Total parts: 5 + 3 = 8. One part: 56 ÷ 8 = 7. 5 × 7 = 35, 3 × 7 = 21.
6. 30 and 24
Total parts: 5 + 4 = 9. One part: 54 ÷ 9 = 6. 5 × 6 = 30, 4 × 6 = 24.
7. 4 and 2
Total parts: 2 + 1 = 3. One part: 6 ÷ 3 = 2. 2 × 2 = 4, 1 × 2 = 2.
8. 30 and 10
Total parts: 3 + 1 = 4. One part: 40 ÷ 4 = 10. 3 × 10 = 30, 1 × 10 = 10.
9. 18 and 6
Total parts: 3 + 1 = 4. One part: 24 ÷ 4 = 6. 3 × 6 = 18, 1 × 6 = 6.
10. 6 and 8
Total parts: 3 + 4 = 7. One part: 14 ÷ 7 = 2. 3 × 2 = 6, 4 × 2 = 8.
11. 8 and 12
Total parts: 4 + 6 = 10. One part: 20 ÷ 10 = 2. 4 × 2 = 8, 6 × 2 = 12.
12. 20 and 10
Total parts: 4 + 2 = 6. One part: 30 ÷ 6 = 5. 4 × 5 = 20, 2 × 5 = 10.
Worked examples
Simplify the ratio 6:30.
- HCF of 6 and 30 is 6.
- Divide both parts by it: 1:5.
- Answer: 1:5
Share 6 in the ratio 1:1.
- Total parts: 1 + 1 = 2.
- One part: 6 ÷ 2 = 3.
- 1 × 3 = 3, 1 × 3 = 3.
- Answer: 3 and 3
Share 88 in the ratio 3:5.
- Total parts: 3 + 5 = 8.
- One part: 88 ÷ 8 = 11.
- 3 × 11 = 33, 5 × 11 = 55.
- Answer: 33 and 55
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
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- What should a learner already know before this?
- Start with Reverse Differentiation. Each one has its own free lesson, worksheet and quiz.
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- 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 Definite Integrals Essentials?
- Move on to Introducing Definite Integrals Techniques, Introducing Definite Integrals Word Problems, Introducing Definite Integrals Common Errors, Working with Definite Integrals, which build directly on this idea.
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