Free Grade 3 Introducing Definite Integrals Common Errors Quizzes
Free Grade 3 quizzes 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
20 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 4:8.[1]
- 2.Simplify the ratio 8:8.[1]
- 3.Simplify the ratio 48:48.[1]
- 4.Simplify the ratio 48:60.[1]
- 5.Share 88 in the ratio 5:3.[2]
- 6.Share 32 in the ratio 4:4.[2]
- 7.Share 24 in the ratio 2:4.[2]
- 8.Share 15 in the ratio 4:1.[2]
- 9.Share 20 in the ratio 1:4.[3]
- 10.Share 50 in the ratio 1:4.[3]
- 11.Share 32 in the ratio 1:7.[3]
- 12.Share 8 in the ratio 1:3.[3]
Show answers and working
1. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
2. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
3. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
4. 4:5
HCF of 48 and 60 is 12. Divide both parts by it: 4:5.
5. 55 and 33
Total parts: 5 + 3 = 8. One part: 88 ÷ 8 = 11. 5 × 11 = 55, 3 × 11 = 33.
6. 16 and 16
Total parts: 4 + 4 = 8. One part: 32 ÷ 8 = 4. 4 × 4 = 16, 4 × 4 = 16.
7. 8 and 16
Total parts: 2 + 4 = 6. One part: 24 ÷ 6 = 4. 2 × 4 = 8, 4 × 4 = 16.
8. 12 and 3
Total parts: 4 + 1 = 5. One part: 15 ÷ 5 = 3. 4 × 3 = 12, 1 × 3 = 3.
9. 4 and 16
Total parts: 1 + 4 = 5. One part: 20 ÷ 5 = 4. 1 × 4 = 4, 4 × 4 = 16.
10. 10 and 40
Total parts: 1 + 4 = 5. One part: 50 ÷ 5 = 10. 1 × 10 = 10, 4 × 10 = 40.
11. 4 and 28
Total parts: 1 + 7 = 8. One part: 32 ÷ 8 = 4. 1 × 4 = 4, 7 × 4 = 28.
12. 2 and 6
Total parts: 1 + 3 = 4. One part: 8 ÷ 4 = 2. 1 × 2 = 2, 3 × 2 = 6.
Worked examples
Simplify the ratio 18:6.
- HCF of 18 and 6 is 6.
- Divide both parts by it: 3:1.
- Answer: 3:1
Share 88 in the ratio 2:6.
- Total parts: 2 + 6 = 8.
- One part: 88 ÷ 8 = 11.
- 2 × 11 = 22, 6 × 11 = 66.
- Answer: 22 and 66
Share 40 in the ratio 2:2.
- Total parts: 2 + 2 = 4.
- One part: 40 ÷ 4 = 10.
- 2 × 10 = 20, 2 × 10 = 20.
- Answer: 20 and 20
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 Definite Integrals Common Errors quiz really free?
- Yes. Every quizzes 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 Definite Integrals Word Problems, Introducing Definite Integrals Techniques, Reverse Differentiation. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Definite Integrals Common Errors?
- Move on to Working with Definite Integrals, Definite Integrals in Context, which build directly on this idea.
Related resources
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