Common Skills C
Paper 2
1
Atlantis High School has a school roll of 800 pupils
The roll is expected to rise by 9% each year for 3 years.
What is the expected roll after 3 years?
3 Marks
2
Solve equation 4x² + 5x – 3 = 0
Give your answers correct to one decimal place.
3 Marks
3
Express
as a fraction in its simplest form
3 Marks
4
The rent of a flat is increased by 12·5% and is now £900 a month.
What was the monthly rental before the increase?
3 Marks
5
Solve the equation
3 tan x° – 7 = 1; 0° ≤ x° ≤ 360°
2 Marks
6
An athlete records his run times during a 6 day period.
The times in minute are as follows:
62, 57, 72, 60, 63, 64
a Calculate the mean and standard deviation of these times.
4 Marks
After a diet change, the athlete’s mean time is 59 minutes
and his standard deviation is 3·9.
b Make two valid comments about his times after his diet change.
2 Marks
7
The circular cross section of an oil pipe is shown.
The radius of the pipe is 1·8m.
The width AB of the surface level of oil is 2·4m
Calculate the depth of oil
4 Marks
8
These two shapes are mathematically similar.
The larger shape has an area of 1200cm²
Calculate the area of the smaller shape.
3 Marks
End of Paper