PAPER 14
PAPER 14A
QUESTION 1 [1 mark]
Write the following number with numerals: seventy two and four thousandths.
Answer type: Simple text answer
ANSWER: 72.004
QUESTION 2 [1 mark]
Write the following numbers in order, starting with the smallest, given that x is a positive integer greater than 2
\dfrac{1}{x},\,\,\,\, 3x,\,\,\,\, 2x,\,\,\,\, x
Answer type: Multiple choice type 1
A: \dfrac{1}{x},\,\,\,\, x,\,\,\,\, 2x,\,\,\,\, 3x
B: x,\,\,\,\, 2x,\,\,\,\, 3x, \,\,\,\, \dfrac{1}{x}
C: 3x,\,\,\,\, 2x,\,\,\,\, x,\,\,\,\, \dfrac{1}{x}
D: \dfrac{1}{x},\,\,\,\, 3x,\,\,\,\, 2x,\,\,\,\, x
ANSWER: A
QUESTION 3 [1 mark]
What is 45 as a fraction of 300? Give your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{3}{20}
QUESTION 4 [1 mark]
Jake is buying tiles for his floor.
His floor is 5.88 m \times \, 7.96 m.
Estimate the area of Jake’s floor.
Answer type: Multiple choice type 1
A: 48 m^2
B: 14 m^2
C: 36 m^2
D: 40 m^2
ANSWER: A
WORKING:
6 \times 8 = 48 m^2
QUESTION 5 [1 mark]
The cost of hiring a boat on holiday is calculated using the formula,
Hire Cost = ( 15 \, \times Number of hours) + \, 45
Calculate the cost of hiring a boat for 3 hours, in £.
Answer type: Simple text answer
ANSWER: £90
WORKING:
Hire Cost = ( 15 \, \times3) + \, 45=\text{£}90
QUESTION 6 [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: Sphere
ANSWER: A
QUESTION 7 [1 mark]
What is the decimal equivalent to \dfrac{3}{8} ?
Answer type: Simple text answer
ANSWER: 0.375
QUESTION 8 [1 mark]
Sammy runs half a mile and records his time at 6.22 minutes.
Estimate how long it would take for Sammy to run 10 miles.
Answer type: Multiple choice type 1
A: 120 minutes
B: 100 minutes
C: 60 minutes
D: 50 minutes
ANSWER: A
WORKING:
6 \times 20 = 120 minutes
QUESTION 9 [1 mark]
Calculate the following: 6.06\times 1.5
Answer type: Simple text answer
ANSWER: 9.09
QUESTION 10 [1 mark]
Describe the correlation of the data shown in the scatter graph.
Answer type: Multiple choice type 2
A: There is a strong positive correlation between the number of hours studied and their Maths score.
B: There is a weak positive correlation between the number of hours studied and their Maths score.
C: There is a strong negative correlation between the number of hours studied and their Maths score.
D: There is no correlation between the number of hours studied and their Maths score.
ANSWER: A
QUESTION 11 [1 mark]
Calculate (17-4^2)^2 +3 \times 5
Answer type: Simple text answer
ANSWER: 16
WORKING:
(17-4^2)^2 +3 \times 5=(17-16)^2+3\times5=1^2+3\times5=16QUESTION 12 [1 mark]
What is 3.5 km equivalent to in cm?
Answer type: Simple text answer
A: 350000 cm
B: 3500000 cm
C: 35000 cm
D: 3500 cm
ANSWER: A
QUESTION 13 [1 mark]
An American car has a top speed of 120 mph.
This car is exported to France so needs to have its speedometer change to km/h.
If 1 mile = 1.6 km, what will its top speed be in km/h?
Answer type: Simple text answer
ANSWER: 192 km/h
WORKING:
120\times1.6=192\text{ km/h}QUESTION 14 [1 mark]
At the current exchange rate, 1 pound is equivalent to 1.25 dollars. How much is 30 dollars worth in pounds?
Answer type: Simple text answer
ANSWER: £24
WORKING:
\$30\div1.25=\text{£}24QUESTION 15 [1 mark]
Evaluate [(3^3 - 2^3 )+5]\div6
Answer type: Simple text answer
ANSWER: 4
WORKING:
[(3^3 - 2^3 )+5]\div6=[(27-8)+5]\div6=24\div6=4
PAPER 14B
QUESTION 1 [1 mark]
What is the number in the hundredths position in 419.357 ?
Answer type: Simple text answer
ANSWER: 5
QUESTION 2 [1 mark]
Work out 5.2^2+1.8^2
Give your answer as a decimal to 2 decimal places.
Answer type: Simple text answer
ANSWER: 30.28
QUESTION 3 [3 marks]
Esther has baked 40 cookies. 20\% of the cookies are chocolate. \dfrac{1}{4} of the cookies are blueberry.
0.3 of the cookies are lemon. The rest are plain.
How many cookies are plain?
Answer type: Simple text answer
ANSWER: 10
WORKING:
25\% are plain, so there are 10 plain cookies
QUESTION 4 [2 marks]
108 identical textbooks have a mass of 30 kg. The books are packed in boxes weighing 20 kg.
How many books are there in each box?
Answer type: Simple text answer
ANSWER: 72
WORKING:
\dfrac{108}{30} \times 20 = 72 books
QUESTION 5 [2 marks]
The cost of hiring a bike for a number of days is calculated using the formula,
Hire Cost = (8 \, \times Number of Days) + \, 25
Laura hired a bike for a total of £129. Work out the number of days she hired a bike for.
Answer type: Simple text answer
ANSWER: 13
WORKING:
Hire Cost = (8 \, \times Number of Days) + \, 25 = \text{£}129
Number of days = \dfrac{129-25}{8}=13 days
QUESTION 6 [6 marks]
Find the perimeter of the compound shape.
Answer type: Simple text answer
ANSWER: 670 cm
WORKING:
Perimeter =45+200+135+65+(135-45)+(200-65) =670 cm
QUESTION 7
Data set A has a median value of 12.3
Data set B is comprised of 7 data points:
12, 17, 29, 16, 3.3, 8, 22
Question 7(a) [1 mark]
Calculate the median of set B.
Answer type: Simple text answer
ANSWER: 16
Question 7(b) [1 mark]
Which data set has the highest median?
Answer type: Multiple choice type 1
A: Data set A
B: Data set B
ANSWER: B
QUESTION 8 [6 marks]
The current exchange rate between the British Pound and the Chinese Yuan is £1 = ¥8.80
The cost of a large stuffed panda toy is ¥154
The total cost for international shipping is ¥132 when you buy less than 10 pandas, every panda more costs ¥20 extra.
Given that the customs charge a 10\% import fee based on the value of a shipment’s contents, what is the total cost to buy 5 large stuffed panda toys, in pounds?
Answer type: Simple text answer
ANSWER: £111.25
WORKING:
5 \times 154 = ¥770
770 \times 1.10 = ¥847
847 + 132 = ¥979
979 \div 8.80 = £111.25
QUESTION 9 [3 marks]
A student wishes to calculate his final percentage mark for his two geography tests that he sat in class. Each test was out of a maximum of 100 marks. Test 1 carries a 40\% weighting and test 2 carries a 60\% weighting.
Using the formula above, what was the final \% mark that the student achieved?
Answer type: Simple text answer
ANSWER: 55.2 \%
WORKING:
Final % mark = (0.4\times48)+(0.6\times60)=55.2\%
QUESTION 10 [3 marks]
A house bought for £135000 increases in price at a rate of 7\% per year.
Work out the value of the house in 2 years time.
Answer type: Simple text answer
ANSWER: £154561.50
WORKING;:
After year 1=\text{£}135000\times1.07=144450
After year 2=\text{£}144450\times1.07=\text{£}1545611.50
QUESTION 11 [5 marks]
The T shape below is made from two identical rectangles. Use the information in the diagram to calculate the total area of the T shape below:
Answer type: Simple text answer
ANSWER: 52.5 cm^2
WORKING:
Length of the rectangle = 11-3.5=7.5 \text{ cm}
Total area = 7.5\times3.5\times2=52.5\text{ cm}
QUESTION 12
Question 12(a) [2 marks]
Choose the correct line of best fit for the scatter graph.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
Question 12(b) [1 mark]
Hence, predict the English score for another student who scored 80\% on their maths paper.
Answer type: Multiple choice type 1
A: 73 \%
B: 88 \%
C: 66 \%
D: 80 \%
ANSWER: A
QUESTION 13 [1 mark]
There are 150 pupils in a primary school.
8\% of the pupils are left handed.
Work out the number of pupils that are left handed.
Answer type: Simple text answer
ANSWER: 12
WORKING:
150\times0.08=12QUESTION 14 [4 marks]
Calculate the volume of the cuboid below:
Answer type: Simple text answer
ANSWER: 200 cm^3
WORKING:
10\times5\times4=200 \text{ cm}^3QUESTION 15
A sunflower grows 12\% taller each week. Currently the sunflower is 2 m tall.
Chris estimates the height after 2 weeks using the following calculation:
12\% of 2 m is 24 cm
2 \times 24 cm = 48 cm
So the plant is 200 cm + \, 48 cm = 248 cm
Question 15(a) [1 mark]
Is Chris’ estimate an over-estimate or under-estimate?
Answer type: Multiple choice type 1
A: Underestimate
B: Overestimate
ANSWER: A
Question 15(b) [2 marks]
Choose the best calculation to estimate the height of the sunflower after 2 weeks.
Answer type: Multiple choice type 1
A: 2 \times 1.12^2
B: 2 \times 12^2
C: 2 \times 1.12 \times 2
D: 2 + 1.12^2
ANSWER: A
WORKING:
2 \times 1.12^2 =2.51 m = 251 cm