PAPER 4
PAPER 4A
QUESTION 1 [1 mark]
Work out 16-2^2\times3
Answer type: Simple text answer
ANSWER: 4
WORKING:
16-2^2\times3=16-4\times3=16-12=4
QUESTION 2 [1 mark]
Find 56\% of £8200
Answer type: Simple text answer
ANSWER: £4592
WORKING:
0.56\times \text{£}8200= \text{£}4592
QUESTION 3 [1 mark]
Work out 2(18\div3)^2
Answer type: Simple text answer
ANSWER: 72
WORKING:
2(18\div3)^2=2(6)^2=2\times36=72QUESTION 4 [1 mark]
What is 3\dfrac{1}{2} - 2\dfrac{1}{4}?
Give your answer as an improper fraction.
Answer type: Fraction
ANSWER: \dfrac{5}{4}
WORKING:
\dfrac{7}{2}-\dfrac{9}{4}=\dfrac{14}{4}-\dfrac{9}{4}=\dfrac{5}{4}
QUESTION 5 [1 mark]
What 3D shape can be created with this net?
Answer type: Multiple choice type 1
A: Square-based pyramid
B: Triangular prism
C: Triangle based pyramid
D: Frustum
ANSWER: A
QUESTION 6 [1 mark]
What is 0.035 meters equivalent to in cm?
Answer type: Simple text answer
ANSWER: 3.5 cm
WORKING:
0.035\times100=3.5\text{ cm}
QUESTION 7 [1 mark]
Choose the correct plot of the coordinate (2,10) on the graph below.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
QUESTION 8 [1 mark]
The probability of event A not happening is 0.35
Work out the probability of event A happening.
Answer type: Simple text answer
ANSWER: 0.65
WORKING:
1-0.35=0.65
QUESTION 9 [1 mark]
Work out the percentage decrease from 6750 to 5400
Answer type: Simple text answer
ANSWER: 20 \%
WORKING:
6750-5400=1350,\,\, \dfrac{1350}{6750}=0.2=20\%
QUESTION 10 [1 mark]
Find the missing angle labelled A.
Answer type: Simple text answer
ANSWER: 114 \degree
WORKING:
Angles in a triangle add up to 180\degree
180\degree-33\degree-33\degree= 114\degreeQUESTION 11 [1 mark]
Calculate 8-2.285
Answer type: Simple text answer
ANSWER: 5.715
QUESTION 12 [1 mark]
What is 1\dfrac{1}{3} of 360?
Answer type: Simple text answer
ANSWER: 480
WORKING:
\dfrac{1}{3}\text{ of }360=120360+120=480
QUESTION 13 [1 mark]
Calculate the time it took to walk 5 miles if traveling at 2.5 mph.
Answer type: Simple text answer
ANSWER: 2 hours
WORKING:
\text{Time} =\dfrac{ \text{Distance}}{\text{Speed}}=\dfrac{5}{2.5}=\dfrac{10}{5}=2 hours
QUESTION 14 [1 mark]
Find the median of the following set of values
-12, \,\, -4, \,\, 7, \,\, 16, \,\, 26, \,\, -18, \,\, 2
Answer type: Simple text answer
ANSWER: 2
WORKING:
-18, \,\, -12, \,\, -4, \,\, 2, \,\, 7, \,\, 16, \,\, 26So the median is 2.
QUESTION 15 [1 mark]
Arrange these temperatures in order, from lowest to highest
-4\degree C,\,\,\,\, -9\degree C,\,\,\,\, 1\degree C, \,\,\,\, -2\degree C, \,\,\,\, 3\degree C
Answer type: Multiple choice type 1
A: -9\degree C ,\,\,\,\, -4\degree C ,\,\,\,\, -2\degree C , \,\,\,\, 1\degree C , \,\,\,\, 3\degree C
B: -2\degree C ,\,\,\,\, -4\degree C ,\,\,\,\, -9\degree C , \,\,\,\, 1\degree C , \,\,\,\, 3\degree C
C: 3\degree C ,\,\,\,\, 1\degree C ,\,\,\,\, -2\degree C , \,\,\,\, -4\degree C , \,\,\,\, -9\degree C
D: 1\degree C ,\,\,\,\, -2\degree C ,\,\,\,\, 3\degree C , \,\,\,\, -4\degree C , \,\,\,\, -9\degree C
ANSWER: A
PAPER 4B
QUESTION 1 [1 mark]
What is the value of \dfrac{8a}{2b} when a=2 and b=4?
Answer type: Simple text answer
ANSWER: 2
WORKING:
\dfrac{8\times2}{2\times4}=2QUESTION 2 [1 mark]
Choose the plan view that accurately represents the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 3 [1 mark]
How would you describe the correlation of the data shown in the scatter graph?
Answer type: Multiple choice type 2
A: There is a strong positive correlation between the number of cinema visits and the year.
B: There is a weak positive correlation between the number of cinema visits and the year.
C: There is a strong negative correlation between the number of cinema visits and the year.
D: There is no correlation between the number of cinema visits and the year.
ANSWER: A
QUESTION 4 [1 mark]
Write the numbers in increasing order starting with the smallest.
5.131, \,\,\,\, 5.9, \,\,\,\, 5.11,\,\,\,\, 5.01,\,\,\,\, 5.855
Answer type: Multiple choice type 1
A: 5.01, \,\,\,\, 5.11, \,\,\,\, 5.131, \,\,\,\, 5.855, \,\,\,\, 5.9
B: 5.01, \,\,\,\, 5.131, \,\,\,\, 5.11, \,\,\,\, 5.855, \,\,\,\, 5.9
C: 5.9, \,\,\,\, 5.855, \,\,\,\, 5.131, \,\,\,\, 5.11, \,\,\,\, 5.01
D: 5.01, \,\,\,\, 5.11, \,\,\,\, 5.131, \,\,\,\, 5.9, \,\,\,\, 5.855
ANSWER: A
QUESTION 5 [2 marks]
Rory has a box of pens. 8 of the pens are black, 12 are blue and 10 are green.
What is the probability of Rory randomly selecting a blue pen from the box?
Give your answer as a decimal.
Answer type: Simple text answer
ANSWER: 0.4
WORKING:
8+12+10=30\text{P(Blue) } = \dfrac{12}{30}=0.4
QUESTION 6 [3 marks]
Trihao is driving from Cambridge to London.
Assume the distance between Cambridge and London is 100 km.
Given that Trihao drives at an average speed of 80 km/h, work out his journey time.
Give your answer in minutes.
Answer type: Simple text answer
ANSWER: 75 minutes
WORKING:
\text{Time} = \dfrac{\text{Distance}}{\text{Speed}} = \dfrac{100}{80} = 1.25 hours = \, 75 minutes
QUESTION 7 [7 marks]
A gardener is planning a new garden that is in the shape of a parallelogram.
It features two ponds and a flower bed.
The rest of the space will be filled with grass.
The plan of the garden has been drawn to scale on a 1 cm grid labelled below.
Scale: 1 cm = 5 m
You are given that \pi = 3.14
Calculate the area that will be covered with grass.
Answer type: Simple text answer
ANSWER: 886 m^2
WORKING:
Total area = base \times height =50\times 30=1500 m^2
Flower bed area = \dfrac{(15+5)}{2} \times 30=300 m^2
Pond area = \frac{1}{2}\times 3.14 \times 10^2=157 m^2
Pond area = \frac{1}{2}\times 3.14 \times 10^2=157 m^2
Grass area = 1500-300-157-157=886 m^2
QUESTION 8 [5 marks]
Margherita pizza comes in three different sizes and at three different prices.
Which pizza is the best value for money?
[NOTE: You do not need to know the value of \pi for this question.]
Answer type: Multiple choice type 1
A: Small
B: Medium
C: Large
ANSWER: C
WORKING:
Small area = 16\pi inches^2
Medium area = 25\pi inches^2
Large area = 36\pi inches^2
Small = \dfrac{799}{16} = 49.94p
Medium = \dfrac{999}{25} = 39.96p
Large = \dfrac{1299}{36} = 36.08p
Therefore large is the best value.
(Note that we do not need to use the fact that \pi = 3.14 in this question)
QUESTION 9 [4 marks]
A car has a range of 440 miles on a full tank. The tank holds 60 litres.
The fuel gauge on the car shows that there is 24 litres remaining in the tank.
How many more miles can the car drive before completely running out of fuel?
Answer type: Simple text answer
ANSWER: 176 miles
WORKING:
\dfrac{24}{60} \times 440 = 176 miles
QUESTION 10 [2 marks]
A steel rod is in the shape of a cylinder, shown below.
The steel rod has a density of 9.8 g per cm^3.
The rod has a volume of 60 cm^3.
Find the mass of the rod.
Answer type: Simple text answer
ANSWER: 588 g
WORKING:
\text{Mass} = \text{D} \times \text{V} = (9.8 g/cm^3) \times (60 cm^3) =588 g
QUESTION 11 [2 marks]
Work out 1.06 \text{ million} \div 4.2 \text{ thousand} to 2 decimal places.
Answer type: Simple text answer
ANSWER: 252.38
WORKING:
1060000\div4200=252.38 to 2 decimal places.
QUESTION 12 [6 marks]
The diagram shows a plan of some cardboard packaging.
Calculate the total area of the cardboard used.
Answer type: Simple text answer
ANSWER: 111.5 cm^2
WORKING:
Rectangle ABCD : Area =5\times7=35 cm^2
Rectangle CEFG : Area =6\times9=54 cm^2
Triangle DCG : Area = \frac{1}{2} \times 5\times9=22.5 cm^2
Total Area = 35+54+22.5=111.5 cm^2
QUESTION 13 [3 marks]
The price of a vintage car increases at a rate of 2\% per year.
The price of the car in 2015 was £12500
Work out the value of the car 2 years later.
Answer type: Simple text answer
ANSWER: £12500
Year 1: £12500 \times 1.02 = £12750
Year 2: £12750 \times 1.02 = £13005
QUESTION 14 [5 marks]
A school is investigating how much their students use social media.
They give their results, measured in minutes, in the table.
By calculating means, work out the difference in the average times spent on Facebook and Twitter.
Answer type: Multiple choice type 1
A: 3 minutes 24 seconds
B: 3 minutes 54 seconds
C: 3 minutes 4 seconds
D: 3 minutes 40 seconds
ANSWER: A
WORKING:
Facebook Mean = 463 \div 5 = 92 minutes 36 seconds
Twitter Mean = 480 \div 5 = 96 minutes
Difference = 3 minutes 24 seconds
QUESTION 15 [2 marks]
Three friends flip the same biased coin several times.
Their results are shown in the table below.
Each of the friends calculates their own probability of heads.
State which friend is likely to have the probability closest to the true probability.
Answer type: Multiple choice type 2
A: Sonya
B: Clive
C: Lucy
ANSWER: A
WORKING:
Sonya is most likely to be the closest to the true probability because she did the most trials (120)