PAPER 2
PAPER 2A
QUESTION 1 [1 mark]
Write the numbers in increasing order starting with the smallest.
10010,\,\,\,\, 11010,\,\,\,\, 10001, \,\,\,\, 11100, \,\,\,\, 11011
Answer type: Multiple choice type 1
A: 10001,\,\,\,\, 10010,\,\,\,\, 11010, \,\,\,\, 11011, \,\,\,\, 11100
B: 10001,\,\,\,\, 10010,\,\,\,\, 11100, \,\,\,\, 11010, \,\,\,\, 11011
C: 10001,\,\,\,\, 10010,\,\,\,\, 11011, \,\,\,\, 11010, \,\,\,\, 11100
D: 11100,\,\,\,\, 11011,\,\,\,\, 11010, \,\,\,\, 10010, \,\,\,\, 10001
QUESTION 2 [1 mark]
Work out 600+1200\div300
Answer type: Simple text answer
ANSWER: 604
WORKING:
600 + 1200 \div300600 + 4 = 604
QUESTION 3 [1 mark]
What is 30 as a fraction of 360? Give your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{12}
QUESTION 4 [1 mark]
Work out 7+4^2\times3
Answer type: Simple text answer
ANSWER: 55
WORKING:
7 + 4^2 \times3 = 7 +16 \times3 = 7 + 48 = 55
QUESTION 5 [1 mark]
Describe the nature of the correlation shown in the 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 6 [1 mark]
Choose the correct plan of the 3D shape.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 7 [1 mark]
Here are the ages of 9 children at a birthday party.
9, 10, 12, 13, 10, 11, 14, 10, 12
Find the mode.
Answer type: Simple text answer
ANSWER: 10
WORKING:
The mode is the age that appears the most in the data set. Thus, the answer is 10.
QUESTION 8 [1 mark]
Calculate 5.402-3.215
Answer type: Simple text answer
ANSWER: 2.187
QUESTION 9 [1 mark]
What is 1.5 hours equivalent to in seconds?
Answer type: Simple text answer
ANSWER: 5400 seconds
WORKING:
1.5 hours in minutes = 1.5\times60 = 90 minutes
90 minutes in seconds =90 \times 60 = 5400 seconds
QUESTION 10 [1 mark]
What is 2.5\% of 140 g?
Answer type: Simple text answer
ANSWER: 3.5 g
WORKING:
2.5\% = 0.025 \text{ as a decimal}140\times0.025=3.5 \text{g}
QUESTION 11 [1 mark]
What 3D shape can be created with the net shown?
Answer type: Multiple choice type 1
A: Cube
B: Triangular prism
C: Frustum
D: Square based pyramid
ANSWER: A
QUESTION 12 [1 mark]
What is \dfrac{5}{7}-\dfrac{1}{3}?
Answer type: Fraction
ANSWER: \dfrac{8}{21}
WORKING:
\dfrac{5}{7}-\dfrac{1}{3} = \dfrac{(5\times3)-(1\times7)}{7\times3} = \dfrac{15-7}{21} = \dfrac{8}{21}
QUESTION 13 [1 mark]
The mean of 3 numbers is the same as the median.
The range of the numbers is also the same as the median.
The largest of the numbers is 9
What are the other 2 numbers?
Answer type: Multiple answers TYPE 2
ANSWER:
Number 1 = 3
Number 2 = 6
WORKING:
To work out the range we subtract the smallest number away from the largest. 9-3=6
The median of a set of numbers, is the middle number when the numbers are ordered from smallest to largest.
3, 6, 9 So the median is 6.
To find the mean, we add up all the numbers and divide them by the number of numbers.
\dfrac{3+6+9}{3} = 6
QUESTION 14 [1 mark]
How long would it take you to travel 3 kilometres, if you walked at 6 km/h?
Give your answer in minutes.
Answer type: Simple text answer
ANSWER: 30 minutes
WORKING:
Time = Distance \div Speed = 3 \div 6=0.5 hours = \, 30 minutes
QUESTION 15 [1 mark]
Choose the correct plot of the coordinate (6,8) on the graph below.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
PAPER 2B
QUESTION 1 [1 mark]
What is the number in the tens position in 825.217?
Answer type: Simple text answer
ANSWER: 2
QUESTION 2 [1 mark]
What is 48000 cm equivalent to in km?
Answer type: Multiple choice type 1
A: 0.48 km
B: 4.8 km
C: 0.048 km
D: 48 km
ANSWER: A
WORKING:
48000\text{ cm} = 480 \text{ m} = 0.48 \text{ km}QUESTION 3 [1 mark]
What is 18\% of £25000?
Answer type: Simple text answer
ANSWER: £4500
WORKING:
25000 \times 0.18 = 4500
QUESTION 4 [2 marks]
Find the missing angle labelled A
Answer type: Simple text answer
ANSWER: 92 \degree
WORKING:
Angles in a triangle add up to 180\degree
180\degree - (41\degree + 47\degree) = 180\degree - 88\degree = 92\degree
QUESTION 5 [2 marks]
Calculate (y^2 - 2y) \times 5y when y = 3
Answer type: Simple text answer
ANSWER: 45
WORKING :
(3^2 -(2\times3)) \times (5\times3) = (9-6)\times15 = 45QUESTION 6 [3 marks]
Megan is a florist.
She is arranging flowers for a display and has 16 roses, 8 daffodils and 13 tulips.
What is the probability of Megan randomly selecting a tulip to add to the display next?
Give your answer to three decimal places.
Answer type: Simple text answer
ANSWER: 0.351
WORKING:
\dfrac{13}{16+8+13} = 0.351
QUESTION 7 [2 marks]
The diagram shows the location of several towns.
Using the diagram, find the distance of Town A from town J.
Answer type: Simple text answer
ANSWER: 40 km
QUESTION 8 [6 marks]
Three shops sell three different sized bottles of water.
Amazer shop sells water in 1 L bottles
Best-Value sells water in 50 cl bottles
Cheapest Buy sells 750 ml bottles of water
Using the three statements above, work out who got the cheapest water per millilitre.
Answer type: Multiple choice type 1
A: Jack
B: Sophie
C: Kabira
ANSWER: A
WORKING:
Jack: 4A + 5B +9C = 8.96
(4 \times 1) + (5 \times 0.5) + (9 \times 0.750) = 13.25 litres
\dfrac{8.96}{13.25} = £0.676 per litre
Sophie: 8A + 10B = 8.92
(8 \times 1) + (10 \times 0.5) = 13 litres
\dfrac{8.92}{13} = £0.686 per litre
Kabiria: 9A + 9B + 5C = 11.77
(9 \times 1) + (9 \times 0.5) + (5 \times 0.750) = 17.25 litres
\dfrac{11.77}{17.25} = £0.682 per litre
Jack bought the cheapest water per millilitre.
QUESTION 9 [5 marks]
The diagram below shows a sphere.
The radius of the sphere is 5 cm.
Using the equation A= 4\pi r^2, where r is the radius of the sphere and \pi = 3.14, calculate the surface area, A, of the sphere.
Answer type: Simple text answer
ANSWER: 314 cm^2
WORKING:
4\times 3.14 \times 5^2= 314 cm^2
QUESTION 10 [3 marks]
The population of a town of 120000 people increases by 5 \% each year.
Calculate the population of the town after 2 years.
Answer type: Simple text answer
ANSWER: 132300
WORKING:
Year 1: 120000 \times 1.05 = 126000
Year 2: 126000 \times 1.05 = 132300
QUESTION 11 [3 marks]
Sarah has a box of 20 sweets. 8 are strawberry flavour, 7 are fizzy cola flavour and the rest are blueberry flavour.
What is the probability of Sarah randomly selecting a blueberry flavour sweet from the box?
Give your answer as a fraction in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{4}
WORKING:
The number of blueberry sweets = 20 - 8 - 7 = 5
\dfrac{5}{20} = \dfrac{1}{4}
QUESTION 12 [4 marks]
23 boys and 22 girls take a maths test.
The mean mark for the boys was 44. The mean mark for the girls was 42.
Find the mean mark for all 45 students.
Give your answer to 1 decimal place.
Answer type: Simple text answer
ANSWER: 43.0
WORKING:
Total marks for boys = 1012
Total mark for girls = 924
Mean = (1012 + 924) \div 45 = 1936 \div 45 = 43.0
QUESTION 13 [3 marks]
It takes 22 hours for a hosepipe with a flow of 12 litres per minute to fill a swimming pool.
How long will it take if its flow is reduced to 5 litres per minute?
Answer type: Multiple choice type 1
A: 52.8 hours
B: 633.6 hours
C: 3168 hours
D: 0.88 hours
ANSWER: A
WORKING:
22 hrs \times \, 720 litres per hr = \, 15840 litres needed
15840 litres \div \, 300 litres per hr = \, 52.8 hrs
QUESTION 14 [4 marks]
Last year Robert had two jobs. Robert worked:
in an office for 10 months and earned £1500 per month,
at a café for 15 weekends and earned £50 per weekend.
What fraction of his total income last year came from his work at the café?
Write the fraction in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{21}
WORKING:
Amount earned from working in the office: 10\times\text{£}1500 = \text{£}15000
Amount earned from the café: 15\times\text{£}50 = \text{£}750
Total income = £15750
\dfrac{750}{15750} = \dfrac{1}{21}
QUESTION 15
The table gives information about the types of drinks sold at a local cafe over the weekend.
Question 15(a) [3 marks]
Find the values of a, b, c, d and e from the two-way table above.
Answer type: Multiple answers type 1
ANSWER:
a = 105
b = 209
c = 82
d = 186
e = 387
WORKING:
Question 15(b) [2 marks]
Find the probability that a customer both enters the café on a Saturday and orders a coffee to 2 decimal places.
Answer type: Simple text answer
ANSWER: 0.27
WORKING:
P(Coffee on Saturday) = \dfrac{104}{387}= 0.27