PAPER 17
PAPER 17A
QUESTION 1 [1 mark]
Find \dfrac{1}{6} of 42
Answer type: Simple text answer
ANSWER: 7
WORKING:
\dfrac{1}{6}\times\dfrac{42}{1}=\dfrac{42}{6}=7
QUESTION 2 [1 mark]
Estimate 199.6 \div 0.021
Answer type: Multiple choice type 1
A: 10000
B: 1000
C: 4
D: 500
ANSWER: A
WORKING:
200\div0.02=10000QUESTION 3 [1 mark]
Work out \dfrac{5}{3}+\dfrac{1}{2}
Answer type: Fraction
ANSWER: \dfrac{13}{6}
WORKING:
\dfrac{5}{3}+\dfrac{1}{2}=(\dfrac{5}{3}\times\dfrac{2}{2})+(\dfrac{1}{2}\times\dfrac{3}{3})=\dfrac{10}{6}+\dfrac{3}{6}=\dfrac{13}{6}QUESTION 4 [1 mark]
Calculate 10.76-8.9
Answer type: Simple text answer
ANSWER: 1.86
QUESTION 5 [1 mark]
Choose the plan of the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 6 [2 marks]
A cyclist takes 10 minutes to travel 2.4 miles.
Calculate the average speed in mph.
Answer type: Simple text answer
ANSWER: 14.4 mph
WORKING:
Speed = \dfrac{\text{Distance}}{\text{Time}}
Speed = \dfrac{2.4}{\frac{1}{6}}=14.4\text{ mph}
QUESTION 7 [1 mark]
What is 700 \div 2.5
Answer type: Simple text answer
ANSWER: 280
QUESTION 8 [1 mark]
The formula for the force, F on a moving object is F = ma where m is the mass in kg and a is the acceleration in m/s^2.
Estimate the force, in newtons (N), on an object which has mass 4.97 kg and acceleration 39.05 m/s^2
Answer type: Multiple choice type 1
A: 200 N
B: 8 N
C: 0.125 N
D: 20 N
ANSWER: A
WORKING:
F = 5\text{ kg }\times40\text{ m/s}^2=200\text{ N}
QUESTION 9 [1 mark]
Convert \dfrac{4}{25} to a decimal.
Answer type: Simple text answer
ANSWER: 0.16
QUESTION 10 [1 mark]
Rosie rolled a 6-sided dice 7 times. Here are her scores.
5, 2 ,6, 1 , 4, 2, 5
Work out the median score.
Answer type: Simple text answer
ANSWER: 4
QUESTION 11 [1 mark]
What is 100^3 ?
Answer type: Multiple choice type 1
A: 1000000
B: 10000000
C: 100000
D: 10000
ANSWER: A
QUESTION 12 [1 mark]
What 3D shape can be created with the net shown?
Answer type: Multiple choice type 1
A: Cube
B: Frustum
C: Square-based pyramid
D: Square
ANSWER: A
QUESTION 13 [1 mark]
What is 5000 cm^3 equivalent to in litres?
Answer type: Simple text answer
ANSWER: 5 litres
QUESTION 14 [1 mark]
Work out 9 + 3^2 \times 10 \div 2
Answer type: Simple text answer
ANSWER: 54
WORKING:
9 + 3^2 \times 10 \div 2=9+9\times10\div2=9+9\times5=9+45=54
PAPER 17B
QUESTION 1 [3 marks]
Jane fills her empty car with 12 litres of petrol.
After driving for the day the car now has 7.5 litres of petrol in the tank.
Calculate the percentage decrease of petrol in the car.
Answer type: Simple text answer
ANSWER: 37.5 \%
WORKING:
12-7.5=4.4
\dfrac{4.5}{12}=\dfrac{3}{8}=37.5\%
QUESTION 2 [2 marks]
A digital camera that originally costs £231 is sold second hand online for \dfrac{3}{7} the retail price.
How much was it sold for?
Answer type: Simple text answer
ANSWER: £99
WORKING:
£231\times\dfrac{3}{7}=£99QUESTION 3 [2 marks]
Work out 30.5^2-14.2^2
Give your answer as a decimal to 2 decimal places.
Answer type: Simple text answer
ANSWER: 728.61
QUESTION 4 [2 marks]
What is 81 out of 900 as percentage?
Answer type: Simple text answer
ANSWER: 9 \%
QUESTION 5 [2 marks]
Aluminium has a density of 2.7 g/cm^3
Calculate the volume of a 5 g lump of aluminium.
Answer type: Simple text answer
ANSWER: 1.85 cm^3
WORKING:
5 \div 2.7 = 1.85 cm^3
QUESTION 6 [3 marks]
James is on holiday in Japan. He stays in a hotel for 7 nights.
The hotel costs ¥10000 for each night. The exchange rate is £1 = ¥140
Calculate how much the hotel costs James in pounds.
Answer type: Simple text answer
ANSWER: £500
WORKING:
7\times10000=70000
70000 \div 140 = £500
QUESTION 7 [8 marks]
Lucy is tiling her bathroom. She buys white and blue tiles in the ratio of 13:2
Blue tiles cost £2.80 whilst white tiles cost £2.35
If she buys 16 blue tiles, how much does Lucy spend on tiles in total?
Answer type: Simple text answer
ANSWER: £289.20
WORKING:
The ratio is 2 parts blue to 13 parts white (2:13). Lucy buys 16 blue tiles, which is 2 parts.
So, 1 part =16 \div 2=8
No. of white tiles =13\times8=104 tiles
Cost of blue tiles =£2.80 \times 16 = £44.80
Cost of white tiles =104\times £2.35=£244.40
Hence, the total cost is
£44.80+£244.40=£289.20
QUESTION 8 [2 marks]
Find the missing angle labelled x
Answer type: Simple text answer
ANSWER: x= 59 \degree
WORKING:
Angle of a straight line = 180\degree
180\degree-121\degree=59\degreeQUESTION 9 [1 mark]
Choose the front elevation for the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 10 [2 marks]
The diagram shows the location of several towns.
Using the diagram, find the distance Town F from town H.
Answer type: Simple text answer
ANSWER: 80 km
QUESTION 11 [6 marks]
Consider the shapes: A (top left), B (top right), C (bottom left) and D (bottom right).
You are given that \pi = 3.14
Which two of the four shapes have the same area?
Answer type: Multiple choice type 1
A: B and C
B: A and B
C: C and D
D: B and D
ANSWER: A
WORKING:
Shape A = \pi r^2=3.14 \times 3^2=28.26 cm^2
Shape B = \text{base} \times \text{height}=27 cm^2
Shape C = \dfrac{(\text{top} + \text{bottom})}{2} \times \text{height}=27 cm^2
Shape D = 23 cm^2
B and C are have the same area
QUESTION 12 [3 marks]
Find the area of the trapezium shown in the diagram.
Answer type: Simple text answer
ANSWER: 78 cm^2
WORKING:
Area = \dfrac{1}{2}(10+50) \times 2.6 = 78 cm^2
QUESTION 13 [5 marks]
The semi-circle shown has centre O and a radius of 5 cm.
You are given that \pi = 3.14
Calculate the perimeter of the semi-circle.
Answer type: Simple text answer
ANSWER: 25.7 cm
WORKING:
Length of curved section = \dfrac{1}{2}\times 3.14 \times10=15.7 cm
Length of base = 10 cm
Total Perimeter = 10 +15.7 = 25.7 cm
QUESTION 14 [2 marks]
Cristiano kicks a ball at 120 km/h.
Calculate the speed of the ball in m/s.
Give your answer to 1 decimal place.
Answer type: Simple text answer
ANSWER: 33.3 m/s
WORKING:
120000 \div 3600 = 33.3 m/s (1 dp)
QUESTION 15 [2 marks]
Simplify the following ratio 1000 : 540 : 780 as much as possible.
Answer type: Multiple choice type 1
A: 50 : 27 : 39
B: 100 : 54 : 78
C: 27 : 39 : 50
D: 54 : 78 : 100
ANSWER: A