PAPER 18
PAPER 18A
QUESTION 1 [1 mark]
Calculate the following: 6.15+15.76
Answer type: Simple text answer
ANSWER: 21.91
QUESTION 2 [1 mark]
What is 36 out of 90 as a percentage?
Answer type: Simple text answer
ANSWER: 40 \%
QUESTION 3 [1 mark]
Work out \dfrac{4}{7}\times\dfrac{5}{3}
Answer type: Fraction
ANSWER: \dfrac{20}{21}
QUESTION 4 [1 mark]
Convert 60 km/h into mph by using the conversion rate of 5 miles = 8 km.
Answer type: Simple text answer
ANSWER: 37.5 mph
WORKING:
60\text{ km/h }\times\dfrac{5}{8}=37.5 \text{ mph}QUESTION 5 [2 marks]
If 200 grams of one ingredient is used in a recipe, which calls for a ratio of 4: 7 with a second ingredient, how much of the second ingredient is needed?
Answer type: Simple text answer
ANSWER: 350 grams
WORKING:
4 parts for ingredient one, 7 parts for the second ingredient.
200\div4=50
50\times7=350
QUESTION 6 [1 mark]
What is 2^5 ?
Answer type: Simple text answer
ANSWER: 32
QUESTION 7 [1 mark]
Find the value of 2m(m+3) when m=2
Simple text answer
ANSWER: 20
WORKING:
2\times2\times(2+3)=4\times5=20QUESTION 8 [1 mark]
What percentage of the shape above is shaded?
Answer type: Simple text answer
ANSWER: 60 \%
9 out of 15 boxes are shaded
\dfrac{9}{15}=60\%
QUESTION 9 [1 mark]
What is an estimate for 4.88 \times 29.89 to 1 decimal place?
Answer type: Multiple choice type 1
A: 150
B: 200
C: 100
D: 35
ANSWER: A
5 \times 30 = 150
QUESTION 10 [1 mark]
Find the value of f+f+f-f+f, when f=3.5
Answer type: Simple text answer
ANSWER: 10.5
QUESTION 11 [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 12 [1 mark]
What is 0.06 metres equivalent to in millimetres?
Answer type: Simple text answer
ANSWER: 60 mm
QUESTION 13 [1 mark]
Work out 55 - (1 + 4) \times 4
Answer type: Simple text answer
ANSWER: 35
WORKING:
55 - (1 + 4) \times 4= 55-5\times4=55-20=35QUESTION 14 [1 mark]
Calculate the following: 360\div 0.2
Answer type: Simple text answer
ANSWER: 1800
WORKING:
360\div 0.2=360\times5=1800
PAPER 18B
QUESTION 1 [3 marks]
Calculate
\dfrac{10.72+2.846}{3.08\times 2.8}
Give your answer to 3 decimal places.
Answer type: Simple text answer
ANSWER: 1.573
QUESTION 2 [2 marks]
A student’s lessons start at the time shown on the clock.
Their first lesson lasts 40 minutes.
At what time does their first lesson of the day end?
Answer type: Multiple choice type 1
A: 9:35 am
B: 9:45 am
C: 9:40 am
D: 9:30 am
ANSWER: A
QUESTION 3 [2 marks]
Look at the following list of numbers:
56, \, 52, \, 48, \, 59, \, 58, \, 51, \, 57Find the median value.
Answer type: Simple text answer
ANSWER: 56
QUESTION 4 [2 marks]
In a bracelet, the ratio of silver beads to gold beads is 5 : 2
The bracelet has 25 silver beads.
How many gold beads are in the bracelet?
Answer type: Simple text answer
ANSWER: 10
WORKING:
25\div5=5
5\times2=10
QUESTION 5 [4 marks]
A student is been sponsored to cycle a distance of 50 kilometres. He travels 20 miles. How many kilometres more does he need to travel to reach his 50 kilometre target? You may use the approximation that 1 mile is 1.6 kilometres.
Answer type: Simple text answer
ANSWER: 18 km
WORKING:
20\text{ miles } \times1.6=32 \text{ km}
50\text{ km }-32\text{ km }=18 \text{ km}
QUESTION 6 [3 marks]
Bethany hires a car for 3 days whilst on holiday.
The hire company costs £35.50 for the first day then £28.50 for each following day.
How much does she pay in total?
Answer type: Simple text answer
ANSWER: £92.50
WORKING:
£35.50 + (£28.50\times2)=£92.50QUESTION 7 [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 white?
Give your answer as a fraction.
Answer type: Fraction
ANSWER: \dfrac{5}{24}
WORKING:
Total number of socks = 6+9+4+5
Number of white socks = 5
P(W) = \dfrac{5}{24}
QUESTION 8 [2 marks]
Danny is on holiday in Paris.
She spends €14.50 in a cafe.
The exchange rate is £1 = €1.25
Calculate how much she spends in pounds (£).
Answer type: Simple text answer
ANSWER: £11.60
WORKING:
14.50 \div 1.25 = £11.60
QUESTION 9 [2 marks]
Find the missing angle labelled x
Answer type: Simple text answer
ANSWER: x= 125 \degree
WORKING:
x = 360 - 90 - 145 =125\degree
Question 10 [6 marks]
James wants to buy 3 pairs of shorts.
Three shops sell the shorts he wants.
Shop A:
Normal Price: £15
Offer: 20 \% off
Shop B:
Normal Price: £17.50
Offer: Buy 2, get the 3rd free
Shop C:
Normal Price: £14
Offer: Get £5 on any order over £20
Which shop provides the best value for money for 3 pairs of shorts?
Answer type: Multiple choice type 1
A: Shop A
B: Shop B
C: Shop C
ANSWER: B
WORKING:
Shop A:
3 \times £15 = £45
£45 \times 0.8 = £36
Shop B:
2 \times £17.50 = £35
Shop C:
3 \times £14 = £42
£42 - £5 = £37
Shop B provides the best value for money.
QUESTION 11 [2 marks]
The diagram shows the locations of several towns.
Using the diagram, find the distance of Town C from town D.
Answer type: Simple text answer
ANSWER: 40 km
QUESTION 12 [3 marks]
Shown is a triangle-based pyramid.
The area of the base, B = 17.46 cm^2
The height, h = 5 cm
The volume, V, of a triangle-based pyramid is given by V = \dfrac{1}{3} Bh
Find the volume of the triangle-based pyramid above.
Answer type: Simple text answer
ANSWER: 29.1 cm^3
WORKING:
Volume = \dfrac{1}{3}\times 17.46 \times 5 = 29.1 cm^3
QUESTION 13 [3 marks]
Find the area of the parallelogram, giving your answer as a whole number.
Answer type: Simple text answer
ANSWER: 636 cm^2
WORKING:
Area = 53\times 12 = 636 cm^2
QUESTION 14 [5 marks]
Ester buys a new pair of shoes. The shoe box measures 340 mm \times \, 250 mm \times \, 120 mm.
What is the volume of the shoe box in cm^3 ?
Answer type: Simple text answer
ANSWER: 10200 cm^3
WORKING:
Volume = 34 \times 25 \times 12 = 10200 cm^3
QUESTION 15 [3 marks]
The ratio of tomato to cheese that Enzo needs to make pizza is 2:3. He needs 8 parts of tomato to make 1 pizza.
How many parts of cheese does he need to make 1 pizza?
Answer type: Simple text answer
ANSWER: 12
WORKING:
8\div2=4\\ 4\times3=12