Three of these four values are equal to each other. Write down the value that is not equal to the other three: 3/4, 75%, 0.75, 0.7
(Total for Question 10 is 1 mark)
11
A gym membership costs 45 pounds per month. The price is increased by 8%. Work out the new monthly cost.
(Total for Question 11 is 2 marks)
12
Show that 7/16 is less than 45%. You must show your working.
(Total for Question 12 is 2 marks)
13
The table shows the proportion of pupils who achieved a merit in four classes. Class A: 0.62 Class B: 59% Class C: 5/8 Class D: 3/5 Order the classes from lowest to highest proportion of merits.
(Total for Question 13 is 2 marks)
14
A student was asked to write 0.35 as a fraction in its simplest form. Here is their working: 0.35 = 35/100 = 3/10 Explain the mistake in the student's working, and write down the correct answer.
(Total for Question 14 is 3 marks)
15
After a 20% increase, the price of a games console is 276 pounds. Work out the price before the increase.
(Total for Question 15 is 3 marks)
16
In 2024, a school had 240 pupils in Year 7. In 2025, the school had 258 pupils in Year 7. Work out the percentage increase in the number of Year 7 pupils.
(Total for Question 16 is 3 marks)
17
A laptop costs 560 pounds before VAT is added. VAT is charged at 20%. A tablet costs 670 pounds, and this price already includes VAT. Work out the total cost of the laptop including VAT, and state which item is more expensive and by how much.
(Total for Question 17 is 3 marks)
18
A car is bought for 14000 pounds. In the first year its value decreases by 15%. In the second year, its new value decreases by a further 10%.
(a)Work out the value of the car at the end of the second year.(3)
(b)Work out the overall percentage decrease in the value of the car over the two years. Give your answer correct to 1 decimal place.(2)
(Total for Question 18 is 5 marks)
Mark scheme · 2.5DB Fractions, Decimals and Percentages: Fluency and Exam Drill (Part 2)
Question 1
B1 0.45 cao
Answer: 0.45
Question 2
B1 6/25 cao
Answer: 6/25
Question 3
B1 87.5% cao
Answer: 87.5%
Question 4
B1 7/4 oe (e.g. 1 3/4) cao
Answer: 7/4
Question 5
B1 8% cao
Answer: 8%
Question 6
B1 32.5% cao
Answer: 32.5%
Question 7
B1 13/20 cao
Answer: 13/20
Question 8
B1 450% cao
Answer: 450%
Question 9
B1 0.12 cao
Answer: 0.12
Question 10
B1 0.7 cao
Answer: 0.7
Question 11
M1 calculate 8% of 45 (= 3.60) or multiply 45 by 1.08
A1 48.60 pounds cao
Answer: 48.60 pounds
Question 12
M1 convert 7/16 to a decimal or a percentage: 7/16 = 0.4375 (= 43.75%)
A1 43.75% is less than 45%, so 7/16 is less than 45% cso
Answer: 7/16 = 43.75%, which is less than 45%, so 7/16 is less than 45% as required.
Question 13
M1 convert to a common form or compare: Class A = 0.62, Class B = 0.59, Class C = 0.625, Class D = 0.6
A1 Class B, Class D, Class A, Class C cao
Answer: Class B, Class D, Class A, Class C
Question 14
M1 identifies that 35/100 was simplified using the wrong common factor (e.g. divided by 10 instead of the highest common factor, 5) oe
M1 correct method: divide both 35 and 100 by 5 to get 7/20
A1 7/20 cao
Answer: The student divided by 10 instead of the highest common factor, 5. The correct answer is 7/20.
Question 15
M1 use equation 1.20 x original = 276, or recognise original = 276 / 1.20
M1 perform division 276 / 1.20 = 230
A1 230 pounds cao
Answer: 230 pounds
Question 16
M1 correct difference 258 - 240 = 18
M1 divide by the original value and multiply by 100: (18 / 240) x 100
A1 7.5% cao
Answer: 7.5%
Question 17
M1 multiply 560 by 1.20, or find 20% of 560 and add it to 560
A1 672 pounds for the laptop cao
B1 correctly states the laptop is more expensive, by 2 pounds (ft from their laptop total)
Answer: The laptop costs 672 pounds including VAT. The laptop is 2 pounds more expensive than the tablet.
Question 18
(a) M1 multiply 14000 by 0.85 (or find 15% of 14000 and subtract) = 11900
(a) M1 multiply 11900 by 0.90 (or find 10% of 11900 and subtract), using the value after the first year's decrease
(a) A1 10710 pounds cao
(a) Answer: 10710 pounds
(b) M1 use multiplicative factors 0.85 x 0.90 = 0.765, or divide their answer to part (a) by 14000