Free Grade 3 Pi as an Irrational in Context Flashcards
Free Grade 3 flashcards for Pi as an Irrational 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain pi as an irrational in context
Explain pi as an irrational in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate pi as an irrational in context
Calculate pi as an irrational in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare pi as an irrational in context
Compare pi as an irrational in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify pi as an irrational in context
Justify pi as an irrational 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 Pi as an Irrational 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 60:12.[1]
- 2.Simplify the ratio 24:12.[1]
- 3.Simplify the ratio 10:10.[1]
- 4.Simplify the ratio 12:12.[1]
- 5.Share 50 in the ratio 4:1.[2]
- 6.Share 18 in the ratio 1:5.[2]
- 7.Share 18 in the ratio 2:4.[2]
- 8.Share 88 in the ratio 5:6.[2]
- 9.Share 10 in the ratio 1:4.[3]
- 10.Share 36 in the ratio 3:3.[3]
- 11.Share 16 in the ratio 3:1.[3]
- 12.Share 33 in the ratio 1:2.[3]
Show answers and working
1. 5:1
HCF of 60 and 12 is 12. Divide both parts by it: 5:1.
2. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
3. 1:1
HCF of 10 and 10 is 10. Divide both parts by it: 1:1.
4. 1:1
HCF of 12 and 12 is 12. Divide both parts by it: 1:1.
5. 40 and 10
Total parts: 4 + 1 = 5. One part: 50 ÷ 5 = 10. 4 × 10 = 40, 1 × 10 = 10.
6. 3 and 15
Total parts: 1 + 5 = 6. One part: 18 ÷ 6 = 3. 1 × 3 = 3, 5 × 3 = 15.
7. 6 and 12
Total parts: 2 + 4 = 6. One part: 18 ÷ 6 = 3. 2 × 3 = 6, 4 × 3 = 12.
8. 40 and 48
Total parts: 5 + 6 = 11. One part: 88 ÷ 11 = 8. 5 × 8 = 40, 6 × 8 = 48.
9. 2 and 8
Total parts: 1 + 4 = 5. One part: 10 ÷ 5 = 2. 1 × 2 = 2, 4 × 2 = 8.
10. 18 and 18
Total parts: 3 + 3 = 6. One part: 36 ÷ 6 = 6. 3 × 6 = 18, 3 × 6 = 18.
11. 12 and 4
Total parts: 3 + 1 = 4. One part: 16 ÷ 4 = 4. 3 × 4 = 12, 1 × 4 = 4.
12. 11 and 22
Total parts: 1 + 2 = 3. One part: 33 ÷ 3 = 11. 1 × 11 = 11, 2 × 11 = 22.
Worked examples
Simplify the ratio 4:8.
- HCF of 4 and 8 is 4.
- Divide both parts by it: 1:2.
- Answer: 1:2
Share 50 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 50 ÷ 10 = 5.
- 5 × 5 = 25, 5 × 5 = 25.
- Answer: 25 and 25
Share 8 in the ratio 1:1.
- Total parts: 1 + 1 = 2.
- One part: 8 ÷ 2 = 4.
- 1 × 4 = 4, 1 × 4 = 4.
- Answer: 4 and 4
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 Pi as an Irrational 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 Pi as an Irrational, Introducing Pi as an Irrational, Simplifying 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 Pi as an Irrational in Context?
- Move on to Surds, Simplifying Surds, which build directly on this idea.
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