Fractions, Decimals and PercentagesAQA GCSE Maths: Subtopic test

10 questions, 26 marks

AQA GCSE Maths

Fractions, Decimals and Percentages

Total 26 marks

Name

Class

Date

1
A shop advertises a jacket at a sale price after a $20\%$ reduction from its original price of $£65$ .
(a)
(a) What is the sale price of the jacket?
[1 mark]
A£52
B£13
C£45
D£58
(b)
The shop also sells a scarf originally priced at $£24$ , reduced by $\frac{1}{4}$ of its price.

(b) What is the sale price of the scarf?
[1 mark]
A£6
B£18
C£20
D£16
(c)
(c) Which of the following is equivalent to $0.375$ ?
[1 mark]
A $\frac{7}{20}$
B $\frac{3}{5}$
C $\frac{5}{8}$
D $\frac{3}{8}$
Total for question 1: 3 marks
2
A recipe requires ingredients in the ratio flour : sugar $= 3 : 2$ by weight, where the total mixture used is $\frac{5}{8}$ of a $2$ kg bag.
(a)
(a) Calculate the weight of the mixture used, in kg.
[2 marks]
(b)
(b) Using the mixture weight found in part (a), calculate the weight of sugar used.
[2 marks]
Total for question 2: 4 marks
3
Chloe claims that increasing a value by $10\%$ and then decreasing the result by $10\%$ returns the original value.
(a)
(a) Show that Chloe's claim is false by testing it on a starting value of $£200$ .
[3 marks]
(b)
(b) Explain, in terms of multipliers, why a $10\%$ increase followed by a $10\%$ decrease never returns the original value (for any non-zero starting value).
[3 marks]
Total for question 3: 6 marks
4
A savings account pays compound interest at a rate of $3\%$ per year. Ben deposits $£1,200$ into the account.
(a)
(a) Calculate the value of Ben's savings after $2$ years, to the nearest penny.
[4 marks]
(b)
(b) Ben's friend Dan deposits $£1,100$ into a different account paying simple interest at $5\%$ per year. Calculate the value of Dan's savings after $2$ years.
[4 marks]
(c)
(c) Determine who has more money after 2 years, Ben or Dan, and by how much, using your answers from parts (a) and (b).
[5 marks]
Total for question 4: 13 marks

End of questions