Practice Paper Z
Paper 2 - 50 Marks
Disclaimer: This is just an example of questions similar to the ones you may come across in the National 5 Exam.
These can be used to help your revision for the National 5 exam but will only form a small part of your overall studies.
1
A painting is valued at £24 000.
It is expected to increase in value by 7% each year for the next 4 years.
What is the expected value in 4 years time?
3 Marks
2
A grain of gunpowder weights 6·4 × 10⁻³ g.
An explosive has 2·4kg of gunpowder in it.
How many grains of gunpowder are in the explosive?
2 Marks
3
Calculate the size of the largest angle in triangle ABC
3 Marks
4
Solve the equation 5 cos x° – 1 = 3 , for 0 < x < 360
3 Marks
5
Solve the equation 3x² – 5x + 1 = 0,
Give your answers correct to 1 decimal place.
3 Marks
6
The diagram shows the cross section of a subway tunnel.
The cross section is in the shape of part of a circle with radius 11 m
Calculate the height of the tunnel.
4 Marks
7
In the circle centre O,
KL is a tangent to the circle at point L
Angle MKL is 34°
Calculate the size of angle KLN.
3 Marks
8
Tickets sold to Scottish Wrestling Krew are logged over a period of 6 weeks:
18000, 42000, 25000, 39000, 30000, 29000
a Calculate the mean and standard deviation of this.
4 Marks
A new wrestler joins and ticket sales are monitored again.
After the new wrestler joined,
The mean ticket sales was 35000 tickets.
The standard deviation was 7500.
b Make two appropriate comments about ticket sales after the new wrestler joined.
2 Marks
9
PB Gas pay give their CEO a pay rise of 65% and they are now paid a salary of £5 940 000.
What was the CEO's salary before the rise?
3 Marks
10
A connecting bolt for a toy is being produced.
It is made in the shape of a cylinder with a countersunk section in removed in the shape of a cone as shown
Calculate the volume of the bolt.
Give your answer correct to 2 significant figures.
5 Marks
11
Express
as a single fraction in its simplest form.
3 Marks
12
The diagram shows part of a garden
QS is an arc of a circle with radius 24 m.
The perimeter of QRS is 98 m.
Determine the size of angle QRS
3 Marks
13
A circus sets up a rope display between two poles.
The distance between the poles is 24m
The angles of elevation of two ropes from the floor to the poles is 48° and 67° as shown.
Calculate the height of the poles.
5 Marks
14
The cuboid ABCDEFGH is shown.
Calculate the length of space diagonal AH.
4 Marks
End of Paper