PAPER 3
PAPER 3A
QUESTION 1 [1 mark]
Work out 24-3^2\times2
Answer type: Simple text answer
ANSWER: 6
WORKING:
24 - 3^2\times2 = 24-9\times2=24-18=6QUESTION 2 [1 mark]
Calculate the following: 0.7^2
Answer type: Simple text answer
ANSWER: 0.49
QUESTION 3 [1 mark]
Estimate 3.9 \times 11.1
Answer type: Multiple choice type 1
A: 40
B: 50
C: 15
D: 14
ANSWER: A
QUESTION 4 [1 mark]
What is \dfrac{8}{7} + \dfrac{6}{4}?
Give your answer as an improper fraction.
Answer type: Fraction
ANSWER: \dfrac{37}{14}
WORKING:
\dfrac{8\times4}{7\times4} + \dfrac{6\times7}{7\times4} = \dfrac{32}{28}+\dfrac{42}{28}= \dfrac{74}{28} = \dfrac{37}{14}
QUESTION 5 [1 mark]
Find the median of the following set of values
23, \,\, 11, \,\, 57, \,\, 113, \,\, 71, \,\, 5, \,\, 93
Answer type: Simple text answer
ANSWER: 57
WORKING:
Order the numbers from smallest to largest: 5, \,\, 11, \,\, 23, \,\, 57, \,\, 71, \,\, 93, \,\, 113
The middle number is the median, which is 57
QUESTION 6 [1 mark]
What is Laura’s average speed if she travels 126 miles in 2 hours?
Answer type: Simple text answer
ANSWER: 63 mph
WORKING:
Speed = Distance \div Time = \dfrac{126}{2} = 63 \text{ mph}
QUESTION 7 [1 mark]
Describe the nature of the correlation shown in the scatter graph.
Answer type: Multiple choice type 1
A: Strong negative correlation
B: Strong positive correlation
C: Weak positive correlation
D: No correlation
ANSWER: A
QUESTION 8 [1 mark]
What is \dfrac{3}{4} as a percentage?
Answer type: Simple text answer
ANSWER: 75 \%
QUESTION 9 [1 mark]
What is the value of 2a^2b when a=4 and b=0.5 ?
Answer type: Simple text answer
ANSWER: 16
WORKING:
2\times4^2\times0.5 = 16QUESTION 10 [1 mark]
The probabilities of a spinner landing on each of its three colours are shown in the table below.
One is missing.
Find the missing value from the table, giving your answer as a fraction in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{2}
WORKING:
\dfrac{1}{3}=\dfrac{2}{6},\,\,\dfrac{2}{6}+\dfrac{1}{6}=\dfrac{3}{6}
P(Red) = \dfrac{3}{6}=\dfrac{1}{2}
QUESTION 11 [1 mark]
What is the decimal equivalent to 78.5\% ?
Answer type: Simple text answer
ANSWER: 0.785
QUESTION 12 [1 mark]
If a pupil paid for lunch with two £1 coins, three 50p coins and two 20p coins how much was paid in total?
Answer type: Simple text answer
ANSWER: £3.90
2\times\text{£}1=\text{£}2,\,\, 3\times50\text{p} = \text{£}1.50,\,\,2\times20\text{p}=\text{£}0.40
\text{£}2+\text{£}1.50+\text{£}0.40=\text{£}3.90
QUESTION 13 [1 mark]
What is 1\dfrac{3}{5} + 2\dfrac{1}{4} ?
Give your answer as an improper fraction.
Answer type: Fraction
ANSWER: \dfrac{77}{20}
WORKING:
1\dfrac{3}{5}=\dfrac{8}{5}\,\,2\dfrac{1}{4}=\dfrac{9}{4}
\dfrac{8}{5} + \dfrac{9}{4}=\dfrac{32}{20}+\dfrac{45}{20}= \dfrac{77}{20}
QUESTION 14 [1 mark]
What is the name of the 3D shape can be created with the net shown?
Answer type: Multiple choice type 1
A: Cube
B: Square-based pyramid
C: Frustum
D: Triangular prism
ANSWER: A
QUESTION 15 [1 mark]
What is 25\% of 24 seconds?
Answer type: Simple text answer
ANSWER: 6 seconds
WORKING:
\dfrac{1}{4} \text{ of } 24 \text{ seconds} = 6\text{ seconds}
PAPER 3B
QUESTION 1 [1 mark]
What is the number 1854 in words?
Answer type: Multiple choice type 1
A: One thousand, eight hundred and fifty four.
B: Ten thousand, eight hundred and fifty four.
C: Eighteen thousand, five hundred and forty.
D: One hundred, eight hundred and fifty four.
ANSWER: A
QUESTION 2 [1 mark]
Which of the following, results in the largest answer?
A: 0.1 \times 0.2
B: 1 \times 0.2
C: 2.1 \times 1.2
D: 1.1 \times 2.1
Answer type: Multiple choice type 1
A
B
C
D
ANSWER: C
QUESTION 3 [3 marks]
A football club sells 50 blue raffle tickets and 125 yellow raffle tickets.
Tickets are drawn randomly.
What is the probability that the first ticket drawn will be a blue ticket?
Give your answer as a decimal rounded to 3 decimal places.
Answer type: Simple text answer
ANSWER: 0.286
WORKING:
\dfrac{50}{50+125} = 0.286
QUESTION 4 [2 marks]
A sofa in a 25\% off sale costs £330
How much does it normally cost?
Answer type: Simple text answer
ANSWER: £440
WORKING:
£330 \div 0.75 = £440
QUESTION 5 [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 6 [4 marks]
The passenger list on a cruise ship shows that:
\dfrac{1}{10} of the passengers come from Italy.
\dfrac{1}{4} of the passengers come from Sweden.
And the other 520 passengers come from the UK.
How many passengers are there all together?
Answer type: Simple text answer
ANSWER: 800
WORKING:
1-\dfrac{4}{40}-\dfrac{10}{40}=\dfrac{26}{40} from the UK
\dfrac{26}{40} = \dfrac{520}{800}
So there is a total of 800 passengers all together.
QUESTION 7
The diagram shows the floor plan to a storeroom.
The owner has ordered 14 items that each need at least 200 cm^2 of room.
CD = 15 cm, CA=45 cm, AB=100 cm, FE=15 cm, EB=10 cm
Question 7(a) [1 mark]
Is there enough room in the storeroom for all the items?
Answer type: Multiple choice type 1
A: Yes
B: No
ANSWER: B
Question 7(b) [5 marks]
By how much area is there spare/not enough of in the storeroom?
Answer type: Simple text answer
ANSWER: 50 cm^2
WORKING:
45\times 15=675 cm^2
\frac{1}{2}\times 70\times 35=1225 cm^2
85\times 10=850 cm^2
Total area =1225+675+850=2750 cm^2
Total area required =14\times200=2800 cm^2
There is not enough room by 2800 - 2750 = 50 cm^2
QUESTION 8 [3 marks]
The height of 13 students are listed below.
141 cm, 130 cm, 135 cm, 144 cm, 130 cm, 152 cm, 145 cm,
140 cm, 153 cm, 160 cm, 180 cm, 120 cm, 134 cm
Find the mean of the students heights, giving your answer to 3 significant figures.
Answer type: Simple text answer
ANSWER: 143 cm
WORKING:
Mean = \dfrac{1864}{13} = 143 cm (3 sf)
QUESTION 9 [2 marks]
This is a conversion graph between litres and pints.
Using the conversion graph, what is 4 pints in litres?
Answer type: Simple text answer
ANSWER: 2.3 litres
WORKING:
QUESTION 10 [3 marks]
Harry invests £4000 in a fund which earns 1.1\% compound return per year.
How much would the fund be worth after 2 years?
Answer type: Simple text answer
ANSWER: £4088.48
ANSWER: A
WORKING:
Year 1: £4000 \times 1.011 = £4044
Year 2: £4044 \times 1.011 = £4088.48
QUESTION 11 [3 marks]
Leslie is mixing paint to get a specific shade of purple.
He needs to make up 3 tins each of 1.5 L of paint.
To make the colour he mixes blue, red and white paint in the ratio 4 : 2 : 3
How much blue paint does Leslie need to complete the order?
2
Answer type: Simple text answer
ANSWER: 2 L
WORKING:
4.5 \div 9 = 0.5 L
0.5 \times 4 = 2 L of blue paint.
QUESTION 12 [6 marks]
Part of a circle is attached to a right angle triangle shown below.
CD = 6 cm,
CB = 12 cm,
AB = 13.4 cm.
You are given that \pi = 3.14
Find the perimeter of the shape.
Give your answer to 2 decimal places.
Answer type: Simple text answer
ANSWER: 40.82 cm
WORKING:
Length of arc CA = \dfrac{1}{4}\times3.14\times2\times6 = 9.42
Perimeter =12+13.4+6+9.42=40.82 cm
QUESTION 13
Question 13(a) [2 mark]
Choose the best line of best fit for the scatter graph.
Answer type: Multiple choice type 1
A:
B: 
C: 
D: 
ANSWER: A
Question 13(b) [2 mark]
Hence, estimate the Maths score for a student who studied for 8 hours, to the nearest 5 \%.
Answer type: Simple text answer
ANSWER: 85 \%
QUESTION 14 [3 marks]
Ben has 450 songs in his playlist.
\dfrac{2}{3} of the songs are pop songs.
\dfrac{1}{4} of these pop songs are also in the genre indie pop.
How many indie pop songs does Ben have in his playlist?
Answer type: Simple text answer
ANSWER: 75
WORKING:
\dfrac{2}{3} \times 450 = 300 pop songs
\dfrac{1}{4} \times 300 = 75 indie pop songs
QUESTION 15 [2 marks]
Find the mode and range of the following list of numbers.
280,\, 350,\, 320,\, 400,\, 350,\, 490,\, 590,\, 470,\, 280,\, 410,\, 350
Answer type: Multiple answers type 1
ANSWER:
Mode = 350
Range = 310
WORKING:
Mode \, = 350 since it is the most common value.
Range = 590-280=310