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Real-world maths made fun! 62 questions on percentages, ratios and proportions. Great for students, exam prep and everyday number-crunching skills.
1. What is 15% of 360?
💡 15% of 360 = (15/100) × 360 = 54.
2. A student scored 72 out of 90. What percentage did they score?
💡 (72 ÷ 90) × 100 = 80%.
3. What is the simple interest on $1000 at 5% per year for 3 years?
💡 Simple Interest = P × R × T = 1000 × 0.05 × 3 = $150.
4. If a car travels 240 km in 3 hours, what is its average speed?
💡 Speed = Distance ÷ Time = 240 ÷ 3 = 80 km/h.
5. What is 2/3 of 90?
💡 2/3 × 90 = 180 ÷ 3 = 60.
6. A recipe needs flour and sugar in ratio 4:1. If you use 200g flour, how much sugar do you need?
💡 If 4 parts = 200g, then 1 part = 50g of sugar.
7. If 3:x = 9:15, what is x?
💡 Cross multiply: 3 × 15 = 9 × x, so 45 = 9x, x = 5.
8. If 8 workers can complete a job in 6 days, how many days will 12 workers take?
💡 8 × 6 = 48 worker-days total. 48 ÷ 12 = 4 days.
9. What is 12.5% as a fraction in its simplest form?
💡 12.5% = 12.5/100 = 1/8.
10. A price increased from $50 to $65. What is the percentage increase?
💡 Increase = 15. (15 ÷ 50) × 100 = 30%.
11. What is 35% of 200?
💡 35% of 200 = (35/100) × 200 = 70.
12. A population grew from 40,000 to 50,000. What is the percentage increase?
💡 Increase = 10,000. (10,000 ÷ 40,000) × 100 = 25%.
13. A shirt costs $80 and is on 25% discount. What is the sale price?
💡 Discount = 25% of 80 = $20. Sale price = 80 - 20 = $60.
14. If the ratio of boys to girls is 3:5 and there are 24 boys, how many girls are there?
💡 If 3 parts = 24, then 1 part = 8. Girls = 5 × 8 = 40.
15. What percentage is 45 out of 180?
💡 (45 ÷ 180) × 100 = 25%.