Key Concepts: Convert between fractions, decimals, and percentages. Calculate percentages of amounts. Percentage increase and decrease. Compound percentages. Order FDP values.
Section A: Conversions
1. Convert the following: [4]
(a) 3/5 to a decimal and percentage
(b) 0.24 to a fraction and percentage
(c) 35% to a decimal and fraction
(d) 0.625 to a percentage and simplest fraction
2. Arrange in order from smallest to largest: 3/8, 0.37, 36% [2]
Section B: Percentage Calculations
3. Calculate: [4]
(a) 15% of £240
(b) 8% of 450 kg
(c) What percentage is 18 out of 45?
(d) If 30% of a number is 27, find the number
4. A jacket costs £80. It's on sale for 25% off. [2]
(a) Calculate the sale price
(b) What was the original price if the sale price is now £60?
Section C: Compound Percentages
5. A house worth £200,000 increases in value by 5% each year. [3]
(a) Calculate the value after 1 year
(b) Calculate the value after 3 years
Total marks: 20
Mark Scheme
1. (a) 0.6, 60% [1]
(b) 6/25, 24% [1]
(c) 0.35, 7/20 [1]
(d) 62.5%, 5/8 [1]
2. 3/8 = 0.375, 36% = 0.36; So 36%, 3/8, 0.37 [2]
3. (a) 0.15 × 240 = £36 [1]
(b) 0.08 × 450 = 36 kg [1]
(c) (18/45) × 100 = 40% [1]
(d) 27 ÷ 0.30 = 90 [1]
4. (a) 80 × 0.75 = £60 [1]
(b) 60 ÷ 0.75 = £80 [1]
5. (a) 200,000 × 1.05 = £210,000 [1]
(b) 200,000 × (1.05)³ = £231,525.25 [2]