Free Grade 3 Surds in Context Flashcards
Free Grade 3 flashcards for Surds 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain surds in context
Explain surds in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate surds in context
Calculate surds in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare surds in context
Compare surds in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify surds in context
Justify surds 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 Surds 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 24:12.[1]
- 2.Simplify the ratio 12:16.[1]
- 3.Simplify the ratio 6:6.[1]
- 4.Simplify the ratio 8:32.[1]
- 5.Share 66 in the ratio 4:2.[2]
- 6.Share 72 in the ratio 4:2.[2]
- 7.Share 8 in the ratio 3:1.[2]
- 8.Share 21 in the ratio 3:4.[2]
- 9.Share 64 in the ratio 5:3.[3]
- 10.Share 45 in the ratio 1:4.[3]
- 11.Share 99 in the ratio 3:6.[3]
- 12.Share 18 in the ratio 3:3.[3]
Show answers and working
1. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
2. 3:4
HCF of 12 and 16 is 4. Divide both parts by it: 3:4.
3. 1:1
HCF of 6 and 6 is 6. Divide both parts by it: 1:1.
4. 1:4
HCF of 8 and 32 is 8. Divide both parts by it: 1:4.
5. 44 and 22
Total parts: 4 + 2 = 6. One part: 66 ÷ 6 = 11. 4 × 11 = 44, 2 × 11 = 22.
6. 48 and 24
Total parts: 4 + 2 = 6. One part: 72 ÷ 6 = 12. 4 × 12 = 48, 2 × 12 = 24.
7. 6 and 2
Total parts: 3 + 1 = 4. One part: 8 ÷ 4 = 2. 3 × 2 = 6, 1 × 2 = 2.
8. 9 and 12
Total parts: 3 + 4 = 7. One part: 21 ÷ 7 = 3. 3 × 3 = 9, 4 × 3 = 12.
9. 40 and 24
Total parts: 5 + 3 = 8. One part: 64 ÷ 8 = 8. 5 × 8 = 40, 3 × 8 = 24.
10. 9 and 36
Total parts: 1 + 4 = 5. One part: 45 ÷ 5 = 9. 1 × 9 = 9, 4 × 9 = 36.
11. 33 and 66
Total parts: 3 + 6 = 9. One part: 99 ÷ 9 = 11. 3 × 11 = 33, 6 × 11 = 66.
12. 9 and 9
Total parts: 3 + 3 = 6. One part: 18 ÷ 6 = 3. 3 × 3 = 9, 3 × 3 = 9.
Worked examples
Simplify the ratio 20:4.
- HCF of 20 and 4 is 4.
- Divide both parts by it: 5:1.
- Answer: 5:1
Share 60 in the ratio 1:5.
- Total parts: 1 + 5 = 6.
- One part: 60 ÷ 6 = 10.
- 1 × 10 = 10, 5 × 10 = 50.
- Answer: 10 and 50
Share 121 in the ratio 5:6.
- Total parts: 5 + 6 = 11.
- One part: 121 ÷ 11 = 11.
- 5 × 11 = 55, 6 × 11 = 66.
- Answer: 55 and 66
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.
Every free resource for Surds in Context
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Surds in Context 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 Working with Surds, Introducing Surds, Rational Numbers. 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 Surds in Context?
- Move on to Simplifying Surds, Pi as an Irrational, which build directly on this idea.
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