Mathematics Level 2 Diagnostic Test
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Question 1 of 39
1. Question
Q1
There are 56 cars in the college car park; 3⁄4 of the cars are over two years old. How many cars are over two years old?
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cars
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Question 2 of 39
2. Question
Q2
A student spends 1⁄2 of his weekly income on food, 1/6 on entertainment, 1⁄4 on clothes and the remainder he saves. What fraction of his weekly income does he save? Make sure the fraction is simplified.
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/
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Question 3 of 39
3. Question
Q3
This sketch shows a bar of chocolate. If James ate 2/3 of the bar, how many squares would he eat?
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squares
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Question 4 of 39
4. Question
Q1
A school has 150 pupils; 44% are girls. How many girls are at the school?
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girls
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Question 5 of 39
5. Question
Q2
An article is bought for £40 and sold for £48. Calculate the percentage profit.
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% profit
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Question 6 of 39
6. Question
Q3
Scott, Martin and Adrian are in a lottery syndicate. Each week Scott pays £2, Martin pays £3 and Adrian pays £5. They win £15,000 and divide their winnings in the same ratio as their weekly contributions. Calculate how much each receives.
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S: £
M: £
A: £
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Question 7 of 39
7. Question
Q8
A length of wood is 2.5m long. From the wood, 8 equal pieces of 10 inches in length are to be cut. Given that 1 inch = 2.54 cm. Calculate to the nearest cm the amount of wood remaining.
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cm
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Question 8 of 39
8. Question
Q9
The cost of hiring a car is £30 plus 20p for every mile travelled.
a) Calculate the cost to hire the car and travel 500 miles.
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£
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Question 9 of 39
9. Question
The cost of hiring a car is £30 plus 20p for every mile travelled.
b) How many miles would you have travelled if you paid a total charge of £50?
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miles
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Question 10 of 39
10. Question
The cost of hiring a car is £30 plus 20p for every mile travelled.
c) Select the formula that accurately represents the cost of hiring a car when you have driven ‘M’ miles
When TC= Total cost and M= miles driven
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Question 11 of 39
11. Question
Q4
a) Simon has an overdraft of £65 on his bank account and he pays in £90. What is his balance now?
If it’s a negative put a ‘-‘ before the number.
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£
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Question 12 of 39
12. Question
b) Angela also has an overdraft of £65 on her bank account and she pays in £50. What is her balance now?
If it’s a negative put a ‘-‘ before the number.
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£
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Question 13 of 39
13. Question
Q10The table shows the number of tins of food sold by a supermarket store during the period of 1986 – 1996.
Complete the missing figures in the table.
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a.
b.
c.
d.
e.
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Question 14 of 39
14. Question
Q1
The graph shows the conversion of pounds to kilograms.
Use the graph to estimate the weight in:
a) Pounds of a 1 kg bag of sugar:
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Question 15 of 39
15. Question
The graph shows the conversion of pounds to kilograms.
Use the graph to estimate the weight in:
b) Kilograms of a 7lb maximum load for a washing machine.
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Question 16 of 39
16. Question
Q6
The diagram shows the plan of a lounge. (all corners are right angles).
a) Calculate the floor area. Do not round your answer.
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m²
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Question 17 of 39
17. Question
The diagram shows the plan of a lounge. (all corners are right angles).
b) Calculate the perimeter. Do not round your answer.
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m²
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Question 18 of 39
18. Question
The diagram shows the plan of a lounge. (all corners are right angles).
c) Calculate the volume of the room if the ceiling is 2.4m tall. Round your answer to 2 decimal places.
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m³
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Question 19 of 39
19. Question
Q1
a) Find the volume of water in litres it can contain when full.
Use the conversion: 1000cm³ = 1 litre
Express your answer in the nearest litre
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liters
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Question 20 of 39
20. Question
b) Find an estimate for the volume. Using
= 3 and working to the nearest 10cm to check your calculator answer.-
liters
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Question 21 of 39
21. Question
Q2
Two friends go away for the weekend camping and taking a small ridge tent.
Using the sketch shown find:
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a) The volume of the tent :ft³
b) The floor area of the tent: ft²
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Question 22 of 39
22. Question
Q1
Henry paces out a building in order to find its length. It is 21 paces long
Henry believes his pace is 0.9 m long.
a) What is his estimate of the length?
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m
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Question 23 of 39
23. Question
In fact, Henry’s paces vary between 0.85 m and .095 m in length.
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b) i) What is the longest length the building could be?
m
ii) What is the shortest length the building could be?
m
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Question 24 of 39
24. Question
Q16
The drawing shows a cuboid with 3 shapes painted on the sides (the sides not visible in the diagram are blank). The squares both have sides of 2.5 cm and the circle has a radius of 1.5cm.
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Question 25 of 39
25. Question
Q2
The table shows the mean heights of males (red) and females (purple) between the ages of 8 and 20 years.
a) i) Complete the coordinates below:
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Male: 14yrs , cm
Female: 10yrs, cm
a) ii) Using line of best fit predict the missing value at 16 years old: (answer to nearest cm)
16yrs, cm
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Question 26 of 39
26. Question
The table shows the mean heights of males and females between the ages of 8 and 20 years.
b) Use your graph to estimate the age when the mean height of both males and females were the same.
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years, months
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Question 27 of 39
27. Question
The table shows the mean heights of males and females between the ages of 8 and 20 years.
c) At what height was this? To the nearest whole cm.
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cm
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Question 28 of 39
28. Question
Q1
Indicate the probability scale what you think the chance of:
Sort elements
- Tax will be abolished next year
- It will rain April 21st next year
- This time next year you will be a year older older
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Even Chance
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Near Impossible/ Highly Unlikely
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Near Certain/ Highly Likely
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Question 29 of 39
29. Question
Q2
What is the probability of selecting an even number from the numbers 10 to 20 inclusive?
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/
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Question 30 of 39
30. Question
cd nc
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Question 31 of 39
31. Question
Q3
The number of saloons and hatchback cars sold by a garage is shown in the Component Bar Chart
From the bar chart find the:
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a) The number of saloon cars sold in January.
cars
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Question 32 of 39
32. Question
The number of saloons and hatchback cars sold by a garage is shown in the Component Bar Chart
From the bar chart find the:
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b) The number of hatchback cars sold in June
cars
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Question 33 of 39
33. Question
The number of saloons and hatchback cars sold by a garage is shown in the Component Bar Chart
From the bar chart find the:
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c) Total number of cars sold during the 6 month period.
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Question 34 of 39
34. Question
Q1
A box contains 40 apples whose weights are shown in the frequency table below:
a) fill in the missing values
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a-
b-
c-
d-
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Question 35 of 39
35. Question
A box contains 40 apples whose weights are shown in the frequency table below:
Calculate:
b) Mean weight of the apples
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Question 36 of 39
36. Question
A box contains 40 apples whose weights are shown in the frequency table below:
Calculate:
c) The median weight of the apples
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grams
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Question 37 of 39
37. Question
A box contains 40 apples whose weights are shown in the frequency table below:
Calculate:
d) The modal weight of the apples
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grams
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Question 38 of 39
38. Question
Q23
A sample of 180 people was taken from those visiting a theme park. They were asked which was their favourite ride.
Two fifths of all people asked said their favourite ride was the roller coaster. Calculate the angle in degrees needed to represent this information.
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º
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Question 39 of 39
39. Question
Q23
A sample of 180 people was taken from those visiting a theme park. They were asked which was their favourite ride.
b) The angle relating to those who gave their first choice as the log flume is 120º. Calculate the number of people who preferred the log flume.
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people
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= 3 and working to the nearest 10cm to check your calculator answer.
