PAPER 20
PAPER 20A
QUESTION 1 [1 mark]
Calculate 7.651+1.102
Answer type: Simple text answer
ANSWER: 8.753
QUESTION 2 [1 mark]
What is 57600 seconds equivalent to in hours ?
Simple text answer
ANSWER: 16 hours
WORKING:
57600\div60\div60=16 hours
QUESTION 3 [1 mark]
Work out \dfrac{5}{3}-\dfrac{1}{4}
Answer type: Fraction
ANSWER: \dfrac{17}{12}
WORKING:
\dfrac{5}{3}-\dfrac{1}{4}=(\dfrac{5}{3}\times\dfrac{4}{4})-(\dfrac{1}{4}\times\dfrac{3}{3})=\dfrac{20}{12}-\dfrac{3}{12}=\dfrac{17}{12}QUESTION 4 [1 mark]
What 3D shape can be created with the 2D net shown?
Answer type: Multiple choice type 1
A: Cylinder
B: Frustum
C: Cone
D: Sphere
ANSWER: A
QUESTION 5 [1 mark]
Work out 252\% of 125
Answer type: Simple text answer
ANSWER: 315
WORKING:
125\times2.52=315QUESTION 6 [1 mark]
In school of 600 pupils, 64\% walk to school regularly.
How many pupils walk to school regularly?
Answer type: Simple text answer
ANSWER: 384
WORKING:
600\times0.64=384QUESTION 7 [1 mark]
If the ratio of x:y is 6:11, and x = 27, what is the value of y ?
Answer type: Simple text answer
ANSWER: 49.5
WORKING:
27\div6=4.5
4.5\times11=49.5
QUESTION 8 [1 mark]
What is 5^4 ?
Answer type: Simple text answer
ANSWER: 625
QUESTION 9 [1 mark]
Anna has 128 trees in her garden. 16 of the trees are apple trees.
What percentage of the trees in the garden are apple trees?
Answer type: Simple text answer
ANSWER: 12.5 \%
WORKING:
\dfrac{16}{128}=\dfrac{1}{8}=12.5\%QUESTION 10 [1 mark]
The price of a new printer is £120 plus VAT. VAT is charged at a rate of 17.5\%
What is the total price of the printer?
Answer type: Simple text answer
ANSWER: £141
WORKING;
120+(120\times0.175)=£141QUESTION 11 [1 mark]
If the probability of passing a driving test is 0.57,
what is the probability of failing it?
Answer type: Simple text answer
ANSWER: 0.43
WORKING:
1-0.57=0.43QUESTION 12 [1 mark]
Choose the plan of the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
ANSWER: A
QUESTION 13 [1 mark]
What 3D shape can be created with this net?
Answer type: Multiple choice type 1
A: Cube
B: Frustum
C: Square-based pyramid
D: Square
ANSWER: A
QUESTION 14 [1 mark]
Calculate the following: 45.5\times 5.5
Answer type: Simple text answer
ANSWER: 250.25
QUESTION 15 [1 mark]
Work out 5 \times (2 + 1) + 4
Simple text answer
ANSWER: 19
WORKING:
5 \times (2 + 1) + 4= 5\times3+4=15+4=19
PAPER 20B
QUESTION 1 [2 marks]
The probability that a football team will win their next game is \dfrac{2}{11}.
The probability they will lose is \dfrac{4}{11}.
What is the probability the game will be a draw?
Give your answer as a fraction.
Answer type: Fraction
ANSWER: \dfrac{5}{11}
WORKING:
1 - \dfrac{2}{11} - \dfrac{4}{11} = \dfrac{5}{11}
QUESTION 2 [2 marks]
If a student spends 45 minutes on homework on 4 evenings a week and a further 25 minutes on 2 mornings, how much time does the student spend on homework each week? Give your answer in hours and minutes.
Answer type: Multiple choice type 1
A: 3 hours and 50 minutes
B: 3 hours and 40 minutes
C: 3 hours and 25 minutes
D: 4 hours and 15 minutes
ANSWER: A
WORKING:
(45\times4)+25\times2)=180+50=230 minutes = 3 hours and 50 minutes
QUESTION 3 [2 marks]
A sprinter runs a distance of 200 metres in 25 seconds.
Work out the average speed of the sprinter.
Answer type: Simple text answer
ANSWER: 8 m/s
WORKING:
Speed = \dfrac{\text{Distance}}{\text{Time}}=\dfrac{200}{25}=8\text{ m/s}
QUESTION 4 [1 mark]
What is the mathematical name of shape D?
Answer type: Multiple choice type 1
A: Square-based pyramid
B: Cylinder
C: Cone
D: Cuboid
ANSWER: A
QUESTION 5 [2 marks]
£61.20 is shared equally between 9 people. How much does each person receive?
Answer type: Simple text answer
ANSWER: £6.80
QUESTION 6 [3 marks]
Elisa makes breakfast cereal.
She mixes nuts, raisins and oats in the ratio 3 : 1 : 5 by weight.
She measures out 45 g of nuts.
Work out the amount of oats, in g, she will use.
Answer type: Simple text answer
ANSWER: 75 g
WORKING:
\dfrac{45}{3} \times 5 = 75 g
QUESTION 7 [5 marks]
The triangle ABC is an isosceles triangle.
Work out the value of angle x
Answer type: Simple text answer
ANSWER: x= 45 \degree
WORKING:
As triangle ABC is an isosceles triangle, the two angles \angle ABC and \angle BAC are equal.
\angle ABC = \dfrac{180 - 70}{2}=55\degree
x= 180 - 80 - 55 = 45\degree
QUESTION 8 [4 marks]
There is enough space for 130 boxes in a stockroom.
On Monday there are 75 boxes in the stockroom.
On Tuesday 19 boxes are taken out of the stockroom.
On Wednesday 59 boxes are put into the stockroom.
Work out how many more boxes can now be put into the stockroom.
Answer type: Simple text answer
ANSWER: 15
WORKING:
75-19+59 = 115130 - 115 = 15 boxes
QUESTION 9 [6 marks]
The volume, V, of the prism is given by V = \text{Area of cross-section} \times \text{Length}
Work out the volume of the prism shown.
Simple text answer
ANSWER: 380 cm^3
WORKING:
Area of cross-section = (7\times4)+(2\times5)=38 \text{ cm}^2
V = 38 \times 10 = 380\text{ cm}^3QUESTION 10 [3 marks]
In a drawer there are,
6 blue pairs of socks, 9 yellow pairs of socks, 4 black pairs of socks and 5 white pairs of socks.
A pair of socks is taken from the drawer at random.
What is the probability that the pair of socks chosen is blue or black?
Give your answer as a fraction.
Answer type: Fraction
ANSWER: \dfrac{5}{12}
WORKING:
Total socks = 6+9+4+5=24
P(Blue or Black) = \dfrac{10}{24}=\dfrac{5}{12}
QUESTION 11 [2 marks]
Beth goes on holiday to Italy.
The exchange rate is £1 = €1.15
She changes £350 into Euros (€).
Work out how many Euros she receives.
Answer type: Simple text answer
ANSWER: €402.50
WORKING:
350 \times 1.15 = €402.50
QUESTION 12 [3 marks]
A school chef is buying fruit to stock up the school canteen.
In pounds, how much does it cost the chef in total to buy the fruit he needs?
Give your answer in pounds.
Answer type: Simple text answer
ANSWER: £18.55
WORKING:
(15\times£0.41)+(20\times£0.32)+(6\times£0.28)+(18\times£0.24)=£18.55QUESTION 13 [4 marks]
A part of the cuboid has been removed leaving the shape shown.
Calculate the area of the front face ABCDE, of the 3D shape.
Answer type: Simple text answer
ANSWER: 22 cm^2
WORKING:
Area of front face = (4\times 4) + (3\times 2) = 22 cm^2
QUESTION 14 [3 marks]
You are given that \pi = 3.14
Find the area of the circle.
Give your answer to the nearest whole number.
Answer type: Simple text answer
ANSWER: 201 cm^2
WORKING:
The area of a circle is given by the formula, Area = \pi r^2
As the radius is 8 cm then,
Area = 3.14 \times8^2=201 cm^2 (nearest whole number)
QUESTION 15 [3 marks]
Rose has 3 footballs, 5 rugby balls and 7 tennis balls.
Write the number of footballs as a fraction of the total number of balls Rose has.
Give your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{5}
WORKING:
Total number of balls = 3+5+7=15
\dfrac{3}{15} = \dfrac{1}{5}