NATIONAL 4 - PRACTICE TEST TWO
1. Ben decided to enjoy the benefits of hill walking. He therefore bought a pair of
strong, lightweight hill walking boots for £140. Special boot wax (shoe polish),
however, was to cost 5% extra. How much did Ben pay for the hill walking boots
and boot wax?.
2. Sarah saved £190 for extra maths tuition. The tutor charges £32 per hour. How
many hours tutoring can Sarah afford?
3. Complete the timetable which shows the departure and arrival times the bus time
table below.
Bus Journey
Depart
Arrive
Dunfermline Town to
Rosyth
Ballingry to Dalgety
Bay
Kelty to Kincardine
1037
1109
1711
Time Taken
72 minutes
2318
63 minutes
4. Barry Shine successfully completed 62 laps of Knockhill race track on his highly
tuned Honda CRF250L motorbike in 30 minutes. Each lap is exactly 1 mile.
What was Barry’s average speed?
5. The temperature in Edinburgh fell from 9°C in the afternoon to -6°C at midnight. By how many degrees did the temperature fall?
6. To get a certain shade of orange, Jane mixes red and yellow paint in the ratio
5:7.
(a)
If Jane has 45 litres of red, how much yellow paint will she need to make
the same shade of orange paint?
(b)
To paint all of the house, she requires a total of 109 litres of orange paint.
Does Jane have enough paint?
Explain your answer using mathematics.
Practice 2 – Unit Assessment for NUMERACY (National 4) Unit
V:\Mathematics\NATIONAL 4_CLASS TESTS
Mr Milton Oct 2014
7. A piece of ribbon is made into a triangle ABC as shown below;
B
A
C
(a) Measure the length of side AB to the nearest millimetre
(b) Measure the size of angle C to the nearest degree
8. Will 3 cupboards, each with a length of 175 cm, fit along the wall of a room which
has a length of 5.1 m?
Give a reason, using mathematics, to explain your answer
9. From the scale below determine the values of A, B and C?
0kg
A
5kg
B
10kg
C
10. Julie takes the bus to work. She works 4 days a week and each day she buys
two single tickets. A single fare on the bus costs £2.60. The bus company offer
Julie the option of buying a 4 week bus pass for £96
Would Julie save money if she bought a 4 week bus pass instead of buying two
single tickets? Give a reason for your answer.
Practice 2 – Unit Assessment for NUMERACY (National 4) Unit
V:\Mathematics\NATIONAL 4_CLASS TESTS
Mr Milton Oct 2014
11. Mark is in training for the Edinburgh Marathon and runs as much as possible.
His target is to run 26 out of the next 30 days. He managed to run
9
of the 30
15
days. Did he meet his target?
12. Out of 200 pupils surveyed. 56 pupils were driven to school, 84 took the bus, 32
walked and 28 cycled. Calculate the probability that, a pupil chosen at random,
cycled to school. Simplify your answer.
13. The stem and leaf diagram below shows the test scores in an History Exam for a
class of 4th year Queen Anne High School Students;
History Exam Marks
6
7
8
9
2457
044899
3689
0
Key; 6I2 represents 62 marks
n=15
How many students scored less than 78 marks?
14. The bar chart below, show average % marks for three classes at QAHS during
the months of Jan, Apr, Aug and Nov.
100
80
60
class a
class b
40
class c
20
0
Jan
Apr
Aug
Nov
a. In what month did Class b score an average mark of 60%?
b. Which class scored the best marks over the four tests?
Practice 2 – Unit Assessment for NUMERACY (National 4) Unit
V:\Mathematics\NATIONAL 4_CLASS TESTS
Mr Milton Oct 2014
15. Peter requires broadband and is looking at three packages A, B and C.
PACKAGE
Connection Speed (MB)
Usage limit (GB)
Monthly Cost
A
19
Unlimited
£15.75
B
8
13
£9.25
C
12
9
£8.99
He requires a Usage limit of at least 14 GB and a Connection speed of at least
8 MB. Which package should Peter go for?
16. At a raffle hall, on an exciting Saturday evening Paul calculated that has a 9 in
50 chance winning a prize in the first Raffle and a 4 in 25 chance of winning a
prize in the second raffle.
He can only afford one raffle ticket. Which raffle should Paul buy a raffle ticket
for?
Practice 2 – Unit Assessment for NUMERACY (National 4) Unit
V:\Mathematics\NATIONAL 4_CLASS TESTS
Mr Milton Oct 2014