PAPER 5
PAPER 5A
QUESTION 1 [1 mark]
Write the numbers in increasing order starting with the smallest.
35,\,\,\,\, -15,\,\,\,\, -5, \,\,\,\, 25, \,\,\,\, 5
Answer type: Multiple choice type 1
A: -15,\,\,\,\, -5,\,\,\,\, 5, \,\,\,\, 25, \,\,\,\, 35
B: -1,\,\,\,\, -15,\,\,\,\, 5, \,\,\,\, 25, \,\,\,\, 35
C: -5,\,\,\,\, 5,\,\,\,\, -15, \,\,\,\, 25, \,\,\,\, 35
D: 35,\,\,\,\, 25,\,\,\,\, 5, \,\,\,\, -5, \,\,\,\, -15
ANSWER: A
QUESTION 2 [1 mark]
What is the decimal equivalent to 45.5\% ?
Answer type: Simple text answer
ANSWER: 0.455
QUESTION 3 [1 mark]
Work out (16-3\times4)^2
Answer type: Simple text answer
ANSWER: 16
WORKING:
(16-12)^2=4^2=16QUESTION 4 [1 mark]
What is \dfrac{11}{4} - \dfrac{3}{2}
Give your answer as an improper fraction.
Answer type: Fraction
ANSWER: \dfrac{5}{4}
WORKING:
\dfrac{11}{4} - \dfrac{3}{2}=\dfrac{11}{4}-\dfrac{6}{4}=\dfrac{5}{4}QUESTION 5 [1 mark]
Find the missing angle labelled x.
Answer type: Simple text answer
ANSWER: 45 \degree
WORKING:
Triangles with 2 sides the same length are isosceles triangles, therefore triangle ABC has 2 equal angles.
All angles in a triangle add up to 180\degree,\,\, 180\degree-90\degree=90\degree
Angle ACB = \dfrac{90\degree}{2}=45\degree
QUESTION 6 [1 mark]
Describe the nature of the correlation shown in the following scatter graph.
Answer type: Multiple choice type 1
A: No correlation
B: Strong positive correlation
C: Strong negative correlation
D: Weak positive correlation
ANSWER: A
QUESTION 7 [1 mark]
Given that 28\times1356= 37968
Calculate the following: 37.968 \div 2.8
Answer type: Simple text answer
ANSWER: 13.56
QUESTION 8 [1 mark]
Write the number 160251 in words.
Answer type: Multiple choice type 2
A: One hundred and sixty thousand, two hundred and fifty one.
B: Sixteen thousand, two hundred and fifty one.
C: One hundred and sixty two thousand, and fifty one.
D: One hundred and sixty two thousand, five hundred and ten.
ANSWER: A
QUESTION 9 [1 mark]
Work out 200\times60\div12
Answer type: Simple text answer
ANSWER: 1000
WORKING:
200\times60\div12=200\times5=1000QUESTION 10 [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 11 [1 mark]
Here are the ages of 9 children at a birthday party:
9, 10, 12, 13, 10, 11, 14, 10, 12
Find the median.
Answer type: Simple text answer
ANSWER: 11
QUESTION 12 [1 mark]
What is 104 mm equivalent to in meters?
Answer type: Multiple choice type 1
A: 0.104 m
B: 1.04 m
C: 10.4 m
D: 0.0104 m
ANSWER: A
QUESTION 13 [1 mark]
What is the value of 11ab^2 when a=\dfrac{1}{4} and b=2?
Answer type: Simple text answer
ANSWER: 11
WORKING:
Substituting in a=\dfrac{1}{4} and b=2
This gives: 11ab^2=11\times\dfrac{1}{4}\times2^2=11
QUESTION 14 [1 mark]
Harry is 15 minutes late for a film that is 2 hours long.
What fraction of the film does he miss? Give your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{8}
WORKING:
2 \text{ hours }=120\text{ minutes} \dfrac{15}{120}=\dfrac{1}{8}QUESTION 15 [1 mark]
Work out the percentage decrease from 1250 to 1100
Answer type: Simple text answer
ANSWER: 12 \%
WORKING:
\dfrac{1100}{1250}=0.88Therefore the percentage decrease is 100\%-88\%=12\%
PAPER 5B
QUESTION 1 [1 mark]
What is \dfrac{13}{20} as a percentage?
Answer type: Simple text answer
ANSWER: 65 \%
QUESTION 2 [1 mark]
Choose the correct plot of the coordinate (8,2) on the graph below.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
QUESTION 3 [2 marks]
Wayde van Niekerk set the world record for the 400 m with a time of 43 seconds.
Determine his average speed over the course of the race.
Give your answer to 1 decimal place.
Answer type: Simple text answer
ANSWER: 9.3 m/s
WORKING:
\text{speed}=\dfrac{\text{distance}}{\text{time}}=\dfrac{400}{43}=9.3 m/s (1 dp)
QUESTION 4 [1 mark]
What is 75\% of 8 miles?
Answer type: Simple text answer
ANSWER: 6 miles
8\text{ miles}\times0.75= 6\text{ miles}QUESTION 5 [1 mark]
What is \dfrac{3}{79} as a decimal correct to three decimal places?
Answer type: Simple text answer
ANSWER: 0.038
QUESTION 6 [3 marks]
The time taken to build a house is inversely proportional to the number of builders.
If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days?
Answer type: Simple text answer
ANSWER: 30 builders
WORKING:
6 builders \times \, 80 days = \, 480 work days in total
480 \div 16 = 30 builders
QUESTION 7 [6 marks]
Sugar can be purchased from four different shops.
Which shop provides the best value per gram of sugar?
Answer type: Multiple choice type 1
A: Shop A
B: Shop B
C: Shop C
D: Shop D
ANSWER: C
WORKING:
Shop A = \dfrac{79}{500} = 0.158p per gram
Shop B = 0.158p per gram
Shop C = 0.099p per gram
Shop D = \dfrac{129}{1250} = 0.1032p per gram
Shop C is the cheapest.
QUESTION 8 [5 marks]
In 2016, there were 10000 electric cars in the United Kingdom.
In 2017, there were 25000 electric cars.
The percentage increase of electric cars, year on year is the same.
Assuming the percentage increase remains the same, how many electric cars would you expect there to be in 2018?
Answer type: Simple text answer
ANSWER: 62500
WORKING:
Identifying 1 year,
10000 \times r =25000
r= \dfrac{25000}{10000} = 2.5
25000\times 2.5 = 62500
QUESTION 9 [3 marks]
Laura earns £200 per week. She is given a pay rise equal to \dfrac{2}{5} of her weekly income.
Work out her new weekly income.
Answer type: Simple text answer
ANSWER: £280
WORKING:
\dfrac{2}{5} of £200 = £80
£200 + £80 = £280
QUESTION 10 [2 marks]
Work out \dfrac{9.624+17.837}{45-4.5}
Answer type: Multiple choice type 1
A: 0.6780493827
B: 0.7680493827
C: 0.6870493827
D: 0.6708493827
ANSWER: A
QUESTION 11 [3 marks]
A football coach records the number of goals scored by his squad in the first few games of the season.
Calculate the mean number of goals scored per person. Give your answer to two decimal places.
Answer type: Simple text answer
ANSWER: 0.63
WORKING:
\dfrac{(19\times0)+(1\times5)+(2\times4)+(3\times2)}{19+5+4+2}=0.63QUESTION 12 [2 marks]
The map below shows the locations of several towns.
Find the distance of Town H from Town E.
Answer type: Simple text answer
ANSWER: 110 km
QUESTION 13 [6 marks]
300 students are asked to choose between strawberry and chocolate ice-cream.
54\% of the students picked chocolate.
48\% of the students are girls.
26\% of the students are girls who chose chocolate.
Work out the number of boys who selected strawberry.
Answer type: Simple text answer
ANSWER: 72
WORKING:
300\times0.54=162 (Total number of students who picked chocolate)
300\times0.48=144 (Total number of girl students)
300\times0.26=78 (Total number of girls who picked chocolate)
QUESTION 14 [2 marks]
A multivitamin contains 16.2 mg of vitamin C. This is 24\% of the recommended daily intake.
What daily intake of vitamin C is recommended?
Give your answer in milligrams.
Answer type: Simple text answer
ANSWER: 67.5 mg
WORKING:
16.2 \div 0.24 = 67.5 mg
QUESTION 15 [7 marks]
A shape is made from a cylinder of radius 5 cm and height 4 cm.
A cuboid measuring 6 cm wide, 1 cm long and 4 cm deep is cut out of the centre as shown.
Calculate the surface area of the new shaped formed by removing the cuboid.
You are given that \pi = 3.14
Give your answer as a decimal to 1 decimal place.
Answer type: Simple text answer
ANSWER: 326.6 cm^2
WORKING:
Surface area of cylinder = 2 \pi r^2 + 2 \pi rh
(2 \times 3.14 \times 5^2) + (2 \times 3.14 \times 5 \times 4) = 282.6
Surface area of cylinder – 2 cuboid faces:
282.6 -(2\times6\times1)=270.6
Inside faces: 6\times4\times2 =48 \, , \, 4\times1\times2=8
Total: 270.6+48+8=326.6 cm^2