Fractions and Probability Quest
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Fractions Meet Probability Adventures
Differentiated Worksheet (Year 7)
📢 Teacher Read-Aloud Script
Tier 1: "You will work with simple fractions using denominators like 2, 3, 4, 5, and 10. For probability, you'll count outcomes and write them as fractions. Take your time and show your working."
Tier 2: "You'll work with fractions that need simplifying and some larger denominators. For probability, convert your answers to simplified fractions. Show all working clearly."
Tier 3: "You'll tackle mixed numbers and improper fractions, plus challenging probability questions. Some questions ask you to explain your reasoning using fractions."
📖 How to Read Your Answers
• Write fractions with a line: 3/4 or use the fraction boxes provided
• Show working in the small boxes
• For probability, write answers as fractions first, then simplify
🟢 TIER 1 (Questions 1-15)
Part A: Fractions (Questions 1-7)
Part B: Probability (Questions 8-15)
🟡 TIER 2 (Questions 1-15)
Part A: Fractions (Questions 1-7)
Part B: Probability (Questions 8-15)
🔴 TIER 3 (Questions 1-15)
Part A: Fractions (Questions 1-7)
Part B: Probability (Questions 8-15)
📋 Answer Key
Tier 1:
1. 1/2 2. 2 3. 1/2 4. 2/5 5. 2/3 6. 1/2 7. 4/10 or 2/5
8. heads, tails 9. 1/2 10. 6 11. 1/6 12. impossible 13. 5 14. 2/5 15. blue
Tier 2:
1. < 2. 2/3 3. 1/2 4. 3/8 5. 6/7 6. 1 7. 5/8
8. red, red, red, blue, blue, blue, green, green 9. 3/8 10. 3/8 11. red or blue 12. 6/15 13. 2/5 14. 10/15 or 2/3 15. Yes, 4/15 > 1/4
Tier 3:
1. 13/5 2. > 3. 1 11/12 4. 1 3/4 5. 1 1/2 6. 3/4 7. 11/6
8. 36 9. 1/6 10. 1/12 11. 2/5 12. 7/19 13. P(red) > P(black) 14. 4 sections 15. No outcomes possible means 0 favourable outcomes
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