Free Grade 3 Definite Integrals in Context Quizzes
Free Grade 3 quizzes for Definite Integrals in Context: 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
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain definite integrals in context
Explain definite integrals in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate definite integrals in context
Calculate definite integrals in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare definite integrals in context
Compare definite integrals in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify definite integrals in context
Justify definite integrals in context 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 Definite Integrals in Context 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 12:24.[1]
- 2.Simplify the ratio 12:16.[1]
- 3.Simplify the ratio 50:30.[1]
- 4.Simplify the ratio 4:20.[1]
- 5.Share 21 in the ratio 1:2.[2]
- 6.Share 56 in the ratio 5:2.[2]
- 7.Share 18 in the ratio 1:2.[2]
- 8.Share 30 in the ratio 4:6.[2]
- 9.Share 63 in the ratio 3:4.[3]
- 10.Share 18 in the ratio 5:1.[3]
- 11.Share 30 in the ratio 1:5.[3]
- 12.Share 144 in the ratio 5:7.[3]
Show answers and working
1. 1:2
HCF of 12 and 24 is 12. Divide both parts by it: 1:2.
2. 3:4
HCF of 12 and 16 is 4. Divide both parts by it: 3:4.
3. 5:3
HCF of 50 and 30 is 10. Divide both parts by it: 5:3.
4. 1:5
HCF of 4 and 20 is 4. Divide both parts by it: 1:5.
5. 7 and 14
Total parts: 1 + 2 = 3. One part: 21 ÷ 3 = 7. 1 × 7 = 7, 2 × 7 = 14.
6. 40 and 16
Total parts: 5 + 2 = 7. One part: 56 ÷ 7 = 8. 5 × 8 = 40, 2 × 8 = 16.
7. 6 and 12
Total parts: 1 + 2 = 3. One part: 18 ÷ 3 = 6. 1 × 6 = 6, 2 × 6 = 12.
8. 12 and 18
Total parts: 4 + 6 = 10. One part: 30 ÷ 10 = 3. 4 × 3 = 12, 6 × 3 = 18.
9. 27 and 36
Total parts: 3 + 4 = 7. One part: 63 ÷ 7 = 9. 3 × 9 = 27, 4 × 9 = 36.
10. 15 and 3
Total parts: 5 + 1 = 6. One part: 18 ÷ 6 = 3. 5 × 3 = 15, 1 × 3 = 3.
11. 5 and 25
Total parts: 1 + 5 = 6. One part: 30 ÷ 6 = 5. 1 × 5 = 5, 5 × 5 = 25.
12. 60 and 84
Total parts: 5 + 7 = 12. One part: 144 ÷ 12 = 12. 5 × 12 = 60, 7 × 12 = 84.
Worked examples
Simplify the ratio 16:8.
- HCF of 16 and 8 is 8.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 28 in the ratio 1:3.
- Total parts: 1 + 3 = 4.
- One part: 28 ÷ 4 = 7.
- 1 × 7 = 7, 3 × 7 = 21.
- Answer: 7 and 21
Share 25 in the ratio 1:4.
- Total parts: 1 + 4 = 5.
- One part: 25 ÷ 5 = 5.
- 1 × 5 = 5, 4 × 5 = 20.
- Answer: 5 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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Definite Integrals in Context 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 Working with Definite Integrals, Introducing Definite Integrals, 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 Definite Integrals in Context?
- Move on to Reverse Differentiation, Area Under a Curve, which build directly on this idea.
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