Free Grade 3 Working with Simplifying Surds Flashcards
Free Grade 3 flashcards for Working with Simplifying Surds: 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
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15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with simplifying surds
Identify working with simplifying surds accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with simplifying surds
Explain working with simplifying surds accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with simplifying surds
Calculate working with simplifying surds accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with simplifying surds
Compare working with simplifying surds 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 Working with Simplifying Surds 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 48:48.[1]
- 2.Simplify the ratio 12:24.[1]
- 3.Simplify the ratio 20:16.[1]
- 4.Simplify the ratio 24:24.[1]
- 5.Share 110 in the ratio 4:6.[2]
- 6.Share 50 in the ratio 5:5.[2]
- 7.Share 20 in the ratio 3:1.[2]
- 8.Share 99 in the ratio 5:6.[2]
- 9.Share 72 in the ratio 5:1.[3]
- 10.Share 35 in the ratio 1:6.[3]
- 11.Share 49 in the ratio 4:3.[3]
- 12.Share 80 in the ratio 2:6.[3]
Show answers and working
1. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
2. 1:2
HCF of 12 and 24 is 12. Divide both parts by it: 1:2.
3. 5:4
HCF of 20 and 16 is 4. Divide both parts by it: 5:4.
4. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
5. 44 and 66
Total parts: 4 + 6 = 10. One part: 110 ÷ 10 = 11. 4 × 11 = 44, 6 × 11 = 66.
6. 25 and 25
Total parts: 5 + 5 = 10. One part: 50 ÷ 10 = 5. 5 × 5 = 25, 5 × 5 = 25.
7. 15 and 5
Total parts: 3 + 1 = 4. One part: 20 ÷ 4 = 5. 3 × 5 = 15, 1 × 5 = 5.
8. 45 and 54
Total parts: 5 + 6 = 11. One part: 99 ÷ 11 = 9. 5 × 9 = 45, 6 × 9 = 54.
9. 60 and 12
Total parts: 5 + 1 = 6. One part: 72 ÷ 6 = 12. 5 × 12 = 60, 1 × 12 = 12.
10. 5 and 30
Total parts: 1 + 6 = 7. One part: 35 ÷ 7 = 5. 1 × 5 = 5, 6 × 5 = 30.
11. 28 and 21
Total parts: 4 + 3 = 7. One part: 49 ÷ 7 = 7. 4 × 7 = 28, 3 × 7 = 21.
12. 20 and 60
Total parts: 2 + 6 = 8. One part: 80 ÷ 8 = 10. 2 × 10 = 20, 6 × 10 = 60.
Worked examples
Simplify the ratio 60:36.
- HCF of 60 and 36 is 12.
- Divide both parts by it: 5:3.
- Answer: 5:3
Share 24 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 24 ÷ 3 = 8.
- 2 × 8 = 16, 1 × 8 = 8.
- Answer: 16 and 8
Share 54 in the ratio 5:4.
- Total parts: 5 + 4 = 9.
- One part: 54 ÷ 9 = 6.
- 5 × 6 = 30, 4 × 6 = 24.
- Answer: 30 and 24
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 Working with Simplifying Surds 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 Introducing Simplifying Surds, Surds. 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 Working with Simplifying Surds?
- Move on to Simplifying Surds in Context, Surds, Pi as an Irrational, which build directly on this idea.
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