PAPER 9
PAPER 9A
QUESTION 1 [1 mark]
What is 1.2 km equivalent to in cm?
Answer type: Multiple choice type 1
A: 120000 cm
B: 12000 cm
C: 1200 cm
D: 1200000 cm
ANSWER: A
QUESTION 2 [1 mark]
Write these fractions in order of size, starting with the smallest.
\dfrac{3}{8},\,\,\,\, \dfrac{2}{3},\,\,\,\, \dfrac{5}{6},\,\,\,\, \dfrac{3}{12}
Answer type: Multiple choice type 1
A: \dfrac{3}{12},\,\,\,\, \dfrac{3}{8},\,\,\,\, \dfrac{2}{3}, \,\,\,\, \dfrac{5}{6}
B: \dfrac{3}{12},\,\,\,\, \dfrac{3}{8},\,\,\,\, \dfrac{5}{6}, \,\,\,\, \dfrac{2}{3}
C: \dfrac{3}{8},\,\,\,\, \dfrac{3}{12},\,\,\,\, \dfrac{2}{3}, \,\,\,\, \dfrac{5}{6}
D: \dfrac{5}{6},\,\,\,\, \dfrac{2}{3},\,\,\,\, \dfrac{3}{8}, \,\,\,\, \dfrac{3}{12}
ANSWER: A
QUESTION 3 [1 mark]
Estimate 49.53 \times 102.12
Answer type: Multiple choice type 1
A: 5000
B: 50000
C: 500
D: 150
ANSWER: A
QUESTION 4 [1 mark]
Work out (2 \times 7) + 1 \times 3
Answer type: Simple text answer
ANSWER: 17
WORKING:
(2 \times 7) + 1 \times 3=14+1\times3=14+3=17QUESTION 5 [1 mark]
What is \dfrac{2}{3} as a percentage?
Give your answer rounded to two decimal places.
Answer type: Simple text answer
ANSWER: 66.67 \%
QUESTION 6 [1 mark]
Phoebe saves all the spare change she gets in a jar until it is full.
Once sorted she finds she has £16 in 5p coins.
How many 5p coins does she have?
Answer type: Simple text answer
ANSWER: 320
WORKING:
16\div0.05=320QUESTION 7 [1 mark]
Which of the following plan views accurately represents the 3D shape shown?
Answer type: Multiple choice type 2
A: 
B: 
C: 
ANSWER: A
QUESTION 8 [1 mark]
What is the greatest decimal from the options below?
7.9666, \,\,\,\, -7.8999, \,\,\,\, 8.065, \,\,\,\, -8.059
Answer type: Multiple choice type 1
A: 8.065
B: 7.9666
C: -7.8999
D: -8.059
ANSWER: A
QUESTION 9 [1 mark]
What is the value of xy+2y^2 when x=5 and y=3 ?
Answer type: Simple text answer
ANSWER: 33
xy+2y^2=5\times3+2\times3^2=15+8=33QUESTION 10 [1 mark]
What is 80\% of 150 people?
Answer type: Simple text answer
ANSWER: 120 people
WORKING:
150\times0.8=120QUESTION 11 [1 mark]
A maths tutor purchases ten pens at 30p each and 7 notepads at 80p each. How much does this cost him in total?
Give your answer in pounds.
Answer type: Simple text answer
ANSWER: £8.60
10\times\text{£}0.30+7\times\text{£}0.80=\text{£}8.60QUESTION 12 [1 mark]
Six people sit around a table at a restaurant. Each of their ages are as follows:
23, 19, 20, 21, 24, 26
Find the median age of those sat at the table.
Answer type: Simple text answer
ANSWER: 22
The ages from smallest to largest: 19, 20, 21, 23, 24, 26
The median is the mean of the 3rd and 4th number, which is: \dfrac{21+23}{2}=22
QUESTION 13 [1 mark]
What is the value of the 6 in the number 11629 in words?
Answer type: Multiple choice type 1
A: Six hundred
B: Six thousand
C: Sixty
D: Six
ANSWER: A
QUESTION 14 [1 mark]
What is \dfrac{2}{5} of £55 ?
Answer type: Simple text answer
ANSWER: £22
WORKING:
\text{£}55\times0.4=\text{£}22QUESTION 15 [1 mark]
Work out the percentage increase from 1500 to 2250
Answer type: Simple text answer
ANSWER: 50 \%
WORKING:
2250-1500=750 \\ \dfrac{750}{1500}=50\%PAPER 9B
QUESTION 1 [1 mark]
Write the numbers in decreasing order starting with the largest.
8526,\,\,\,\, 1001,\,\,\,\, 989, \,\,\,\, 9092, \,\,\,\, 8450
Answer type: Multiple choice type 1
A: 9092, \,\,\,\, 8526,\,\,\,\, 8450, \,\,\,\, 1001, \,\,\,\, 989
B: 9092, \,\,\,\, 8450,\,\,\,\, 8526, \,\,\,\, 1001, \,\,\,\, 989
C: 9092, \,\,\,\, 989, \,\,\,\, 8526,\,\,\,\, 8450, \,\,\,\, 1001
D: 989, \,\,\,\, 1001,\,\,\,\, 8450, \,\,\,\, 8526, \,\,\,\, 9092
ANSWER: A
QUESTION 2 [2 marks]
The density of copper is 8.96 g/cm^3.
Calculate the volume of 26.88 g of copper in cm^3.
Answer type: Simple text answer
ANSWER: 3 cm^3
WORKING:
\text{Volume} = \text{mass} \div \text{density} = 26.88 \div 8.96 = 3 cm^3
QUESTION 3 [2 mark]
Work out \dfrac{3.5^2\times2.3^2}{1.5^3}
Give your answer as a decimal rounded to 2 decimal places.
Answer type: Simple text answer
ANSWER: 19.20
QUESTION 4 [1 mark]
What is the number in the thousandths position in 283.157 ?
Answer type: Simple text answer
ANSWER: 7
QUESTION 5 [1 mark]
What is \dfrac{25}{6}+\dfrac{13}{4} as a mixed number fraction?
Answer type: Multiple choice type 1
A: 7\frac{5}{12}
B: 7\frac{7}{12}
C: 13\frac{13}{24}
D: \dfrac{89}{12}
ANSWER: A
\dfrac{25}{6}+\dfrac{13}{4}=(\dfrac{25}{6}\times\dfrac{2}{2})+(\dfrac{13}{4}\times\dfrac{3}{3}) =\dfrac{50}{12}+\dfrac{39}{12}=\dfrac{89}{12}=7 \dfrac{5}{12}QUESTION 6 [3 marks]
£4000 is invested in a fund which earns 11\% compound return per year.
How much would the fund be worth after 2 years?
Answer type: Simple text answer
ANSWER: £4928.40
ANSWER: A
WORKING:
Year 1: £4000 \times 1.11 = £4440
Year 2: £4440 \times 1.11 = £4928.40
QUESTION 7 [6 marks]
The diagram below shows two cuboids, A and B.
Find the combined total surface area of cuboids A and B shown.
Answer type: Simple text answer
ANSWER: 130 cm^2
WORKING:
SA of A = (5\times3)\times2 + (5\times3)\times2 + (3\times3)\times2 = 78 cm^2
SA of B = (4\times3)\times2 + (4\times2)\times2 + (3\times2)\times2 = 52 cm^2
Total surface Area = 78 + 52 = 130 cm^2
QUESTION 8
Sarah earns £8.43 an hour. She thinks that most of her friends are paid more.
Here is a list of how much her friends earn per hour.
Question 8(a) [4 marks]
Calculate the mean, median and mode of this data, ignoring the pound (£) symbol for your answers.
Answer type: Multiple answers type 1
ANSWER:
Mean = 8.44
Median = 8.46
Mode = 8.48
WORKING:
Mean pay = 50.64 \div 6 = £8.44
Median = \dfrac{£8.44 + £8.48}{2} = £8.46
Mode = £8.48
Question 8(b) [1 mark]
Do these averages support Sarah’s assumption?
Answer type: Multiple choice type 1
A: Yes
B: No
ANSWER: A
WORKING:
The mean, median and mode all suggest that Sarah is correct, as £8.43 is less than all three of these values.
QUESTION 9 [3 marks]
3 friends want to go for a hike. They pack enough water to last for 6 hours. 3 more people join the hike.
How long will their water last now?
Give your answer in hours.
Answer type: Simple text answer
ANSWER: 3 hours
WORKING:
18 hours of water in total
per 3 walkers = 6 hours of water
so 6 walkers have 3 hours worth of water
QUESTION 10 [5 marks]
In a rowing team, the weight of 8 women, in kilograms, is:
63, \, 60, \,57, \,66, \,62, \,65, \,69, \,58
In order to be a more competitive team, the coach has said that each team member should try to increase their overall muscle mass which will result in a 2\% gain in overall body weight.
What will be the mean weight of the team if all 8 are successful in precisely meeting this 2\% weight gain?
Answer type: Simple text answer
ANSWER: 63.75 kg
WORKING:
The combined weight of all 8 members is:
63 + 60+57+66+62+65+69+58 = 500 kg
1.02\times500 = 510 kg
Mean = 510 kg \div \, 8 =63.75 kg
QUESTION 11 [3 marks]
Mr Smith pays £4.48 for 400 g of Edam cheese and buys 250 g of Gorgonzola. Gorgonzola costs £11.60 per kilogram.
Which type of cheese is better value for money per gram?
Answer type: Multiple choice type 1
A: Edam
B: Gorgonzola
ANSWER: A
WORKING:
Edam: £4.48 \div 400 = £0.0112 per gram
Gorgonzola: £11.60 \div 1000= £0.0116 per gram
Edam is better value.
QUESTION 12 [2 marks]
ABCDEF is a regular hexagon. Its perimeter is 21 cm.
Calculate the length of one side.
Answer type: Simple text answer
ANSWER: 3.5 cm
WORKING:
Length of one side =21 \div 6=3.5 cm
QUESTION 13 [2 marks]
A spinning wheel is made up of 3 different sections, section A, section B and section C.
\text{P(A)}=55\% , \text{P(B)}=\dfrac{2}{5}
Work out the probability of the wheel stopping on section C.
Give your answer as a decimal.
Answer type: Simple text answer
ANSWER: 0.05
WORKING:
\dfrac{2}{5} = 40\%
\text{P(A)}+\text{P(B)}= 55\% + 40\% = 95\%
\text{P(C)} = 100\% - 95\% = 5\% = 0.05
QUESTION 14 [5 marks]
140 students from Year 12 and Year 13 are studying in an academy. All of the students study either Biology, Chemistry or Physics.
There are 87 students from Year 13, of which 22 take Chemistry. 21 of the 53 students taking Biology are from Year 12
10 of the 43 students taking Physics are from Year 12
Work out how many students study Chemistry in total.
Answer type: Simple text answer
ANSWER: 44
WORKING:
QUESTION 15 [4 marks]
Jenny is a race car driver, driving around a track.
She does 30 laps in 20 minutes, with an average speed of 144 km/h.
Determine the distance travelled in one lap.
Answer type: Simple text answer
ANSWER: 1.6 km
WORKING:
Time in Hours =\dfrac{20}{60}=\dfrac{1}{3}
Distance =144\times\dfrac{1}{3}=48 km
Distance per lap = 48\div30=1.6 km