Common Skills D
Paper 2
1
Skyout Industries made an annual profit of £38 000 000 in 2019.
They are expected to have reduced profits of 6% for 4 years.
Determine the expected profit in 2023
3 Marks
2
Solve equation 2x² – 3x – 8 = 0
Give your answers correct to one decimal place.
3 Marks
3
Express
as a fraction in its simplest form
3 Marks
4
Francis takes a wage cut of 7% and is now paid £48 360.
How much was Francis paid before his wage cut?
3 Marks
5
Solve the equation
5 sin x° + 3 = 1; 0° ≤ x° ≤ 360°
2 Marks
6
Scores of a basketball team during 9 games are recorded.
The scores in points are as follows
110 98 100 88 86
104 101 95 90
a Calculate the median and semi-interquartile range of this data
3 Marks
After a new coach starts, the team’s median score is 102 points
and the semi-interquartile range is 4·5
b Make two valid comments about the teams scoring after arrival of the new coach
2 Marks
7
An advertising banner is designed using 2 identical circles intersecting
The radius of the circles is 3·6m
The line PQ where the circles join is 4·8m
Calculate the width of the banner.
4 Marks
8
These two shapes are mathematically similar.
The small shape has a volume of 540 cm².
Calculate the volume of the larger shape.
3 Marks
End of Paper