PAPER 15
PAPER 15A
QUESTION 1 [1 mark]
Estimate 48.8 \times 5.1 \times 6.9
Answer type: Multiple choice type 1
A: 1750
B: 62
C: 175
D: 1500
ANSWER: A
WORKING:
50 \times 5 \times 7 = 1750
QUESTION 2 [1 mark]
What is 40\% of 24 hours?
Answer type: Simple text answer
ANSWER: 9.6 hours
WORKING:
24\times0.4=9.6\text{ hours}QUESTION 3 [1 mark]
What is the decimal equivalent to \dfrac{1}{8} ?
Answer type: Simple text answer
ANSWER: 0.125
QUESTION 4 [1 mark]
The cost of hiring a bike for a number of days is calculated using the formula,
Hire Cost = (8 \, \times Number of Days) + \, 25
Calculate the cost of hiring a bike for 7 days, in £.
Answer type: Simple text answer
ANSWER: £81
WORKING:
Hire Cost = (8 \, \times7) + \, 25=\text{£}81
QUESTION 5 [1 mark]
Work out \dfrac{5}{6}-\dfrac{3}{8} in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{11}{24}
WORKING:
\dfrac{5}{6}-\dfrac{3}{8}=(\dfrac{5}{6}\times\dfrac{4}{4})-(\dfrac{3}{8}\times\dfrac{3}{3})=\dfrac{20}{24}-\dfrac{9}{24}=\dfrac{11}{24}
QUESTION 6 [1 mark]
Evaluate (2\times3-4)\div5
Answer type: Fraction
ANSWER: \dfrac{2}{5}
WORKING:
(2\times3-4)\div5=(6-4)\div5=2\div5=\dfrac{2}{5}QUESTION 7 [1 mark]
Calculate the following: 56.21-9.73
Answer type: Simple text answer
ANSWER: 46.48
QUESTION 8 [2 marks]
An Amazon driver has been requested to deliver goods to a house 30 miles away from the depot.
It takes the Amazon driver 30 minutes to deliver the goods.
Calculate the average speed of the delivery driver for this journey.
Answer type: Simple text answer
ANSWER: 60 mph
WORKING:
\text{Speed} = \dfrac{30}{0.5}=60 mph
QUESTION 9 [1 mark]
This is a conversion graph between cm and inches.
Using the conversion graph, what is 15 cm in inches?
Answer type: Simple text answer
ANSWER: 6 inches
QUESTION 10 [1 mark]
Sally buys a house for £200 000
She later sells the house for £220 000
Calculate the percentage profit Sally makes.
Answer type: Simple text answer
ANSWER: 10 \%
WORKING:
£220 000-£200 000=£20000\\ \dfrac{£20000}{£200000}=10\%QUESTION 11 [1 mark]
Choose the correct side elevation of the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 12 [1 mark]
What 3D shape can be created with the net shown?
Answer type: Multiple choice type 1
A: Cube
B: Frustum
C: Square-based pyramid
D: Square
ANSWER: A
QUESTION 13 [1 mark]
In a class of 24 people, 18 people pass a Maths test. What proportion of the class did not pass the Maths test? Give your answer as a fraction in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{4}
WORKING:
\dfrac{24-18}{24}=\dfrac{1}{4}QUESTION 14 [1 mark]
Evaluate 8\times9-49\div7-3\times1+3\times3
Answer type: Simple text answer
ANSWER: 71
8\times9-49\div7-3\times1+3\times3=8\times9-7-3\times1+3\times3=72-7-3+9=71
PAPER 15B
QUESTION 1 [1 mark]
Work out 6 \times 1.8^2
Give your answer as a decimal to 2 decimal places.
Answer type: Simple text answer
ANSWER: 19.44
QUESTION 2 [2 marks]
The cost of printing for students is given as:
\text{Cost in pence} = 4 \times \text{number of black and white pages} + 10 \times \text{number of colour pages}
Work out how much a booklet of 30 black and white pages, and 10 colour pages will cost to print.
Give your answer in pounds.
Answer type: Simple text answer
ANSWER: £2.20
WORKING:
\text{Cost in pence} = 4 \times 30 + 10 \times 10=220\text{p}=£2.20QUESTION 3 [2 marks]
Sarah is saving a portion of her pocket money each month.
In March she saves £9.39
In April she saves £12.02
In May she saves £14.88
Work out how much she has saved in total over the three months.
Answer type: Simple text answer
ANSWER: £36.29
WORKING:
£9.39+£12.02+£14.88=£36.29QUESTION 4 [2 marks]
The normal price of a train ticket is £38.40
Students gets \dfrac{1}{3} off the price of his train ticket.
Work out how much a student pays for their ticket.
Answer type: Simple text answer
ANSWER: £25.60
WORKING:
£38.40\times\dfrac{2}{3}=£25.60QUESTION 5 [2 marks]
What is 36 hours equivalent to in seconds ?
Answer type: Simple text answer
ANSWER: 129600 seconds
WORKING:
36\times60\times60=129600 seconds
QUESTION 6 [3 marks]
Four friends order pizza from a take away. The amount of pizza each person eats is shown below.
Matthew eats 0.8 of a pizza
Lily eats \dfrac{3}{4} of a pizza
George eats 77\% of a pizza
Sam eats 82\% of a pizza
Which person eats the most pizza?
Answer type: Multiple choice type 1
A: Sam
B: Lily
C: Matthew
D: George
ANSWER: A
WORKING:
0.8 = 80\% and \dfrac{3}{4} = 75\%
Sam eats the most, since 82\% is the biggest.
QUESTION 7 [6 marks]
A person wishes to post a package that weighs 6.5 lb.
When they get to the post office, they’re told that the first 2 kg cost £10 to post, and every interval of 500 g over will cost an additional £2
If 1 lb = 453 g, how much will it cost to post the package?
Answer type: Simple text answer
ANSWER: £14
WORKING:
6.5 \times 453 = 2944.5 g
The first 2 kg costs £10
Then there are 2 intervals of 500 g over, which costs £4
Total = £14
QUESTION 8 [5 marks]
ABCD is square with an area of 64 m^2.
Calculate the perimeter of ABCD.
Answer type: Simple text answer
ANSWER: 32 m
WORKING:
x^2=64, x=8
Therefore, the perimeter of the square is, 8+8+8+8=32 m
QUESTION 9 [4 marks]
Choose the correct drawing of the shape on the 1 cm by 1 cm grid at a scale of 1 : 30 cm
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
QUESTION 10 [5 marks]
The diagram shows the outline of a cuboid, ABCDEFGH.
Given that: AB=3 cm, BC=12 cm, and CF=16 cm.
Find the volume of the cuboid.
Answer type: Simple text answer
ANSWER: 576 cm^3
WORKING:
Volume = 3\times12 \times16=576 cm^3
QUESTION 11 [3 marks]
The table below displays the time taken by students to complete an event on a school sports day.
What proportion of students completed the event in 2 minutes or under? Give your answer as a decimal correct to two decimal places.
Answer type: Simple text answer
ANSWER: 0.47
WORKING:
\dfrac{0+2+11+32}{0+2+11+32+33+18}=0.46875=0.47 to two decimal places
QUESTION 12 [2 marks]
Ruth is on holiday in Spain.
She spends €85.50 in a restaurant.
The exchange rate is £1 = €1.20
Calculate how much she spends in pounds (£).
Answer type: Simple text answer
ANSWER: £71.25
WORKING:
85.50 \div 1.20 = £71.25
QUESTION 13 [3 marks]
Laura bought a house for £300 000
In the first year the house price increased by 3\%
In the second year the house price increased by 4\%
Work out the price of the house at the end of the second year.
Answer type: Simple text answer
ANSWER: £321360
WORKING:
300000 \times 1.03 \times 1.04= £321360
QUESTION 14 [2 marks]
Simplify 2.3 kg : 700 g : 1.8 kg as much as possible.
Answer type: Multiple choice type 1
A: 23 g : 7 g : 18 g
B: 230 g : 70 g : 180 g
C: 23 g : 7000 g : 18 g
D: 46 g : 14 g : 36 g
ANSWER: A
QUESTION 15 [3 marks]
If 5 housemates get through 1.5 litres of milk per day, how much milk will they need for 2 days when 3 friends stay for the weekend?
Answer type: Simple text answer
ANSWER: 4.8 litres
WORKING:
2 \times \dfrac{1.5}{5} \times 8 = 4.8 litres