NATIONAL 4 - PRACTICE TEST ONE
1. Ross wanted to buy a new Chris Boardman time trial carbon fibre cycle for
competing in local cycle races. The bike is £3,650, however, light weight
efficient carbon wheels are to cost him 15% extra. What is the final price of
the cycle, including the carbon wheels?
2. Susan saved £120 for driving lessons. Lessons cost £9.95 per hour. How
many driving lessons can Susan afford?
3. Complete the timetable which shows the departure and arrival times for the
fife circle train route.
Train Journey
Depart
Arrive
Dunfermline Town to
Haymarket
Markinch to
Edinburgh Waverly
Glenrothes/Thornton
to South Gyle
1737
1809
1917
Time Taken
52 minutes
2001
53 minutes
4. John successfully completed a long distance triathlon at Aberfeldy on
October 18th 2014. After swimming 2.4 miles in 50 minutes he cycled the 112
miles at an average speed of 28 miles per hour. Finally, he completed the 26.2
mile run section in 4 hours 15 minutes.
a. How long did John take for the cycle section?
b. What was John’s total time for the whole triathlon?
c. The triathlon started at 6am, what time did he finish the race?
5. The temperature in Dunfermline fell from 5°C to -7°C. By how many degrees
did the temperature fall?
6. To get a certain shade of grey, John mixes black and white paint in the ratio
3:4.
a. If John has 27 litres of black, how much white paint will he need to make
the same shade of grey paint?
b. To paint all of the house, he requires a total of 64 litres of grey paint. Does
John have enough paint? Explain your answer using mathematics.
Practice 1 – Unit Assessment for NUMERACY (National 4) Unit
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Mr Milton Oct 2014
7. A triangular piece of wood XYZ is shown below;
X
Y
Z
a. Measure the length of side XY to the nearest millimetre
b. Measure the size of angle Y to the nearest degree
8. Will 6 cupboards, each with a length of 75 cm, fit along the wall of a room
which has a length of 4.6 m?
Give a reason, using mathematics, to explain your answer
9. From the scale below determine the values of A, B & C
0kg
1kg
A
Practice 1 – Unit Assessment for NUMERACY (National 4) Unit
B
2kg
C
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Mr Milton Oct 2014
10. Joanna takes the train to work. She works 5 days a week and each day she
buys a return ticket. A return fare on the train costs £2.60. British Rail offer
Joanna the option of buying a 4 week train pass for £47.50.
Would Joanna save money if she bought a 4 week train pass instead of
buying return tickets? Give a reason for your answer.
11. John is training hard for his next triathlon event and cycles as much as
possible. His target is to cycle to work 31 out of the next 64 days. He
managed to cycle
3
th of the days. Did he meet his target?
8
12. Out of 100 pupils surveyed. 28 pupils were driven to school, 42 took the bus,
16 walked and 14 cycled. Calculate the probability that, a pupil chosen at
random, walked to school. Simplify your answer.
13. The stem and leaf diagram below shows the test scores in an English Exam
for a class of 3rd year Queen Anne High Students;
English Test Marks
2
3
4
5
2457
044899
3689
0
Key; 2I2 represents 22 marks
n=15
How many students scored more than 34 marks?
Practice 1 – Unit Assessment for NUMERACY (National 4) Unit
V:\Mathematics\NATIONAL 4_CLASS TESTS
Mr Milton Oct 2014
14. The bar chart below shows the average temperature (Deg C) for Boston and
Edinburgh over one year.
30
25
20
BOSTON
15
EDINBURGH
10
5
0
Jan
Feb Mar Apr May Jun
Jul
Aug Sep
Oct Nov Dec
a. In which months did Boston have an average temperature of 20°C?
b. In which month did Edinburgh have an average temperature of 5°C?
15. John requires broadband and is looking at three packages A, B and C.
PACKAGE
Connection Speed (MB)
Usage limit (GB)
Monthly Cost
A
16
Unlimited
£10.75
B
9
Unlimited
£9.25
C
15
11
£8.99
He requires a Usage limit of at least 13 GB and a Connection speed of at
least 14 MB. Which package should he go for?
16. A clever statistician worked out that Paul has a 7 in 40 chance winning a prize
at a bingo hall and an 8 in 50 chance of winning a prize at a local raffle.
Does Paul have a better chance of winning a prize at the bingo hall or the
local raffle?
Practice 1 – Unit Assessment for NUMERACY (National 4) Unit
V:\Mathematics\NATIONAL 4_CLASS TESTS
Mr Milton Oct 2014