Free Grade 3 Introducing Definite Integrals Common Errors Flashcards
Free Grade 3 flashcards for Introducing Definite Integrals 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing definite integrals common errors
Identify introducing definite integrals common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing definite integrals common errors
Explain introducing definite integrals common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing definite integrals common errors
Calculate introducing definite integrals common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing definite integrals common errors
Compare introducing definite integrals 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 Definite Integrals 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 20:8.[1]
- 2.Simplify the ratio 20:50.[1]
- 3.Simplify the ratio 8:24.[1]
- 4.Simplify the ratio 16:4.[1]
- 5.Share 40 in the ratio 3:5.[2]
- 6.Share 15 in the ratio 1:4.[2]
- 7.Share 35 in the ratio 2:5.[2]
- 8.Share 14 in the ratio 5:2.[2]
- 9.Share 64 in the ratio 3:5.[3]
- 10.Share 63 in the ratio 4:3.[3]
- 11.Share 56 in the ratio 4:4.[3]
- 12.Share 20 in the ratio 1:1.[3]
Show answers and working
1. 5:2
HCF of 20 and 8 is 4. Divide both parts by it: 5:2.
2. 2:5
HCF of 20 and 50 is 10. Divide both parts by it: 2:5.
3. 1:3
HCF of 8 and 24 is 8. Divide both parts by it: 1:3.
4. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
5. 15 and 25
Total parts: 3 + 5 = 8. One part: 40 ÷ 8 = 5. 3 × 5 = 15, 5 × 5 = 25.
6. 3 and 12
Total parts: 1 + 4 = 5. One part: 15 ÷ 5 = 3. 1 × 3 = 3, 4 × 3 = 12.
7. 10 and 25
Total parts: 2 + 5 = 7. One part: 35 ÷ 7 = 5. 2 × 5 = 10, 5 × 5 = 25.
8. 10 and 4
Total parts: 5 + 2 = 7. One part: 14 ÷ 7 = 2. 5 × 2 = 10, 2 × 2 = 4.
9. 24 and 40
Total parts: 3 + 5 = 8. One part: 64 ÷ 8 = 8. 3 × 8 = 24, 5 × 8 = 40.
10. 36 and 27
Total parts: 4 + 3 = 7. One part: 63 ÷ 7 = 9. 4 × 9 = 36, 3 × 9 = 27.
11. 28 and 28
Total parts: 4 + 4 = 8. One part: 56 ÷ 8 = 7. 4 × 7 = 28, 4 × 7 = 28.
12. 10 and 10
Total parts: 1 + 1 = 2. One part: 20 ÷ 2 = 10. 1 × 10 = 10, 1 × 10 = 10.
Worked examples
Simplify the ratio 6:18.
- HCF of 6 and 18 is 6.
- Divide both parts by it: 1:3.
- Answer: 1:3
Share 80 in the ratio 2:6.
- Total parts: 2 + 6 = 8.
- One part: 80 ÷ 8 = 10.
- 2 × 10 = 20, 6 × 10 = 60.
- Answer: 20 and 60
Share 36 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 36 ÷ 6 = 6.
- 4 × 6 = 24, 2 × 6 = 12.
- Answer: 24 and 12
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 Introducing Definite Integrals Word Problems, Introducing Definite Integrals Techniques, 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 Common Errors?
- Move on to Working with Definite Integrals, Definite Integrals in Context, which build directly on this idea.
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