PAPER 1
PAPER 1A
QUESTION 1 [1 mark]
Write the following numbers in order of size.
3.2, \,\ 3.27, \, 3.72, \, 3.702, \, 3.02
Start with the smallest number.
Answer type: Multiple choice type 2
A: 3.02, \, 3.2, \, 3.27, \, 3.702, \, 3.72
B: 3.02, \, 3.2, \, 3.27, \, 3.72, \, 3.702
C: 3.72, \, 3.702, \, 3.27, \, 3.2, \, 3.02
D: 3.2, \, 3.02, \, 3.27, \, 3.702, \, 3.72
ANSWER: A
QUESTION 2 [1 mark]
Work out
1\dfrac{3}{5} + 2\dfrac{1}{4}
Answer type: Multiple choice type 1
A: 3\frac{17}{20}
B: 17\frac{17}{20}
C: 4\frac{3}{20}
D: 3\frac{3}{20}
ANSWER: A
WORKING:
1\dfrac{3}{5} + 2\dfrac{1}{4} = \dfrac{8}{5} + \dfrac{9}{4} = \dfrac{(8\times4)+(9\times4)}{5\times4}=\dfrac{77}{20} = 3\dfrac{17}{20}
QUESTION 3 [1 mark]
The probability of a hockey team winning a game is 0.22
The probability that they lose the game is 0.41
What is the probability that the team draws?
Answer type: Simple text answer
ANSWER: 0.37
WORKING:
1-0.22-0.41=0.37
QUESTION 4 [1 mark]
What is \dfrac{1}{20} as a percentage?
Answer type: Simple text answer
ANSWER: 5
WORKING:
100\times\dfrac{1}{20}=5\%
QUESTION 5 [1 mark]
The distance between two towns on a map measures 8 cm.
The map has a scale of 1:25 000
What is the actual distance between the two towns in km?
Answer type: Simple text answer
ANSWER: 2 km
WORKING:
8 \text{ cm} \times 25000 = 200000 \text{ cm} = 2000\text{ m} = 2\text{ km}
QUESTION 6 [1 mark]
The probability of event A happening is 0.15
Work out the probability of event A not happening.
Answer type: Simple text answer
ANSWER: 0.85
WORKING:
1-0.15=0.85
QUESTION 7 [1 mark]
Work out 6+3^2\times2
Answer type: Simple text answer
ANSWER: 24
WORKING:
6+3^2\times2=6+9\times2=6+18=24
QUESTION 8 [1 mark]
What is \dfrac{1}{2}-\dfrac{2}{5}?
Give your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{10}
WORKING:
\dfrac{1}{2}-\dfrac{2}{5} = \dfrac{5}{10}-\dfrac{4}{10} = \dfrac{1}{10}
QUESTION 9 [1 mark]
What is 60 as a fraction of 360? Give your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{6}
QUESTION 10 [1 mark]
Write in digits five hundred and seven thousand, seven hundred and twenty three.
Answer type: Simple text answer
ANSWER: 507723
QUESTION 11 [1 mark]
An electric car has a range of 380 miles when fully charged.
The car has 30\% battery charge remaining.
How many more miles can the car drive before completely running out of power?
Answer type: Simple text answer
ANSWER: 114 miles
WORKING:
30\%=\dfrac{3}{10}
380\times\dfrac{3}{10} = 114
QUESTION 12 [1 mark]
Choose the correct plot of the coordinate (4,3) on the graph below.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 13 [1 mark]
What is the value of 6ab when a=3 and b=2?
Answer type: Simple text answer
ANSWER: 36
WORKING:
6\times3\times2= 36
QUESTION 14 [1 mark]
Calculate 6.402+3.545
Answer type: Simple text answer
ANSWER: 9.947
QUESTION 15 [1 mark]
A class of 40 students measure their shoe sizes and summarise this information in a frequency table.
What is the modal shoe size of the class?
Answer type: Simple text answer
ANSWER: 5
WORKING:
The modal shoe size is the shoe size that appears the most in the data set, i.e. the shoe size with the highest frequency. Thus, the answer is 5.
PAPER 1B
QUESTION 1 [2 marks]
Work out \dfrac{9.624+17.837}{4.5}
Give your answer as a decimal rounded to 2 decimal places.
Answer type: Simple text answer
ANSWER: 6.10
QUESTION 2 [2 marks]
A manufacturing company produce metal fixings for a DIY retailer. On one day the manufacturer produces 23040 fixings, of which 1920 are faulty.
What fraction of the fixings produced on this day were defective?
Give your answer in its lowest terms.
Answer type: Fraction
ANSWER: \dfrac{1}{12}
WORKING:
\dfrac{1920}{23040}=\dfrac{1}{12}
QUESTION 3 [1 mark]
Which decimal describes the amount of the shape that is shaded?
Answer type: Simple text answer
ANSWER: 0.75
WORKING:
6 out of 8 boxes are shaded.
\dfrac{6}{8}=\dfrac{3}{4} = 0.75
QUESTION 4 [1 mark]
Choose the correct plan view that accurately represents the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 5 [1 mark]
Peter rolls an ordinary 6 sided dice.
It has faces marked 1, 2, 3, 4, 5 and 6
Write down the probability that he rolls an even number. Give your answer as a decimal.
Answer type: Simple text answer
ANSWER: 0.5
WORKING:
Even numbers: 2, 4 and 6.
\dfrac{3}{6} = 0.5
QUESTION 6 [3 marks]
Savannah has an annual income of £19410
She has a personal allowance of £11850. She pays 20\% tax on the rest of her income.
How much tax should she pay in a year?
Answer type: Simple text answer
ANSWER: £1512
WORKING:
19410 - 11850 = 7560
20\% \text{ of} \space7560 = 7560 \times 0.2 = 1512
QUESTION 7 [2 marks]
John is paid on the first day of every month.
He aims to spend \dfrac{1}{3} of his pay on food and \dfrac{1}{4} of his pay on rent.
What fraction of his pay will John have left? Write your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{5}{12}
WORKING:
\dfrac{1}{4}+\dfrac{1}{3} = \bigg(\dfrac{1}{4}\times \dfrac{3}{3} \bigg)+ \bigg(\dfrac{1}{3}\times \dfrac{4}{4} \bigg)=\dfrac{4}{12}+\dfrac{3}{12}=\dfrac{7}{12}
1-\dfrac{7}{12}=\dfrac{5}{12}
QUESTION 8 [6 marks]
Wall tiles are sold either as a single tile or as a box.
Brian needs enough tiles to cover a wall of 4 m^2.
Boxes of tiles are sold full.
Which option should he choose?
Answer type: Multiple choice type 1
A: Single
B: Box
ANSWER: A
WORKING:
Area single = 200 cm^3, Area box = 3200 cm^3
Area of wall = 40000 cm^3
\dfrac{40000}{200} = 200 tiles, \dfrac{40000}{3200} = 12.5 boxes = \, 13 full boxes
Single tile cost: 200 \times £0.49 = £98
Cost of the box of tiles: 13 \times £7.99 = £103.87
Single tiles are better value.
QUESTION 9 [3 marks]
Find the perimeter of the isosceles triangle.
Answer type: Simple text answer
ANSWER: 22.7 cm
WORKING:
Find the perimeter of the isosceles triangle.
QUESTION 10 [5 marks]
Nabeel travelled to London by train, her journey was made up of two parts.
One train into York and then another train into London.
The first train departed at 07:05 and the journey lasted for 12 minutes.
The second train departed at 07:27 and the journey lasted for 122 minutes.
The total distance travelled was 197 miles.
What was Nabeela’s average speed for the entire journey in mph to 2 decimal places?
Answer type: Simple text answer
ANSWER: 82.08 mph
WORKING:
Journey = 12+10+122 = 144 minutes = \, 2.4 hours
\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} = \dfrac{197}{2.4} = 82.08 mph
QUESTION 11 [6 marks]
The diagram below shows a cylinder.
The radius of the cylinder is 3 cm and the height is 12 cm.
Find the total surface area of the cylinder.
Take \pi = 3.14
Give your answer to 1 decimal place
Answer type: Simple text answer
ANSWER: 282.7 cm^2
WORKING:
Area of top = 3.14 \times3^2=28.26
Area of base = 3.14 \times3^2=28.26
Area of curved surface =12\times6\times3.14=226.08
Surface Area = 28.26 + 28.26 + 226.08 = 282.6 cm^2
QUESTION 12
The table gives information about the number of girls and boys in Years 9 and 10.
Question 12(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 = 62
b = 159
c = 84
d = 181
e = 355
WORKING:
Question 12(b) [2 marks]
Find the probability that a student selected at random is a boy.
Give your answer to 3 decimal places.
Answer type: Simple text answer
ANSWER: 0.449
WORKING:
P(Boy) = \dfrac{159}{355} = 0.449
QUESTION 13 [4 marks]
Lucy has £5000. She is looking for the best savings account to save her money for one year.
Bank A pays 2\% compound interest. It adds interest every 6 months.
Bank B pays 3.15\% annual interest rate.
Which bank should the Lucy choose?
Answer type: Multiple choice type 1
A: Bank A
B: Bank B
ANSWER: A
WORKING:
Bank A: £5000 \times 1.02^2 = £5202
Bank B: £5000 \times 1.0315 = £5157.50
Lucy should choose Bank A.
QUESTION 14 [2 marks]
A bike was reduced by 20\% in a sale.
If its sale price was £520, what was its original price?
Answer type: Simple text answer
ANSWER: £650
WORKING:
£520 \div 0.8 = £650
QUESTION 15 [2 marks]
Ben flips an unbiased coin 3 times.
Is he more likely to get heads, tails, then heads or all tails for the three flips?
Answer type: Multiple choice type 2
A: The likelihood of both events is equal.
B: He is more likely to get heads, tails, then heads.
C: He is more likely to get all tails for the three flips.
ANSWER: A
WORKING:
P(H,T,H) = 0.5 \times 0.5 \times 0.5=0.125
P(T,T,T) = 0.5 \times 0.5 \times 0.5=0.125
Therefore, the likelihood of both events is equal.