Percentage Calculations Challenge

Name:

Date:

📊 Part 1: Find the percentage of each quantity

1. Use 0.8. Calculate: 10%, 1% and 5%. Show working:

Answers: 10% = _______ 1% = _______ 5% = _______

2. Use 94. Calculate: 25%, 33% (to two decimal places) and 85%.

Answers: 25% = _______ 33% = _______ 85% = _______

3. Use 450. Calculate: 20%, 30%, 50%, 70% and 75%. (show working)

Answers: 20% = _______ 30% = _______ 50% = _______

70% = _______ 75% = _______

🔁 Part 2: Reverse the process — find the original quantity

4. 10% of a number is 0.08. What is the original number? Show working.

5. 1% of a number is 0.94. What is the original number? Show working.

6. 50% of a number is 225. What is the original number?

7. 25% of a number is 23.50. What is the original number? (Write steps)

📈 Part 3: Data types and teacher notes

8. Which type of data is "the number of goals scored by a player in a season"?

Categorical

Discrete

Continuous

9. Which type of data is "player position (forward, mid, defence)"?

Categorical

Discrete

Continuous

10. Is "time (minutes) taken to run 5 km" discrete or continuous? Explain in one sentence.

11. Give one example of categorical data and one example of continuous data from a PE class (e.g. fitness test).

Teacher notes (differentiation, extension & dyslexia-friendly options)

Differentiation strategies: Offer a calculator for students who need it; provide step prompts (find 10% → divide by 10, find 1% → divide by 100); pair with a peer mentor; give fewer subparts for students needing scaffolding.

Extension activities: Ask advanced learners to compare two methods (fraction method vs decimal method) or to create their own reverse-percentage problems using percentages such as 12.5% or 37.5%.

Dyslexia-friendly reading options: Read questions aloud; provide one-step sentences; use high-contrast print and extra spacing. Allow answers in bullet points or diagrams if helpful.