Common Skills A

Paper 2

1

Ubivision made a profit of £280 000 this year.

They expect their profits to increase by 4% each year for the next 3 years

Calculate their predicted profit in 3 years.

3 Marks

2

Solve equation 3x² + 5x – 7 = 0

Give your answers correct to one decimal place.

3 Marks

3

Express

as a fraction in its simplest form

3 Marks

4

A football stadium is redeveloped and its capacity is increased by 15%.

It now has 41 400 seats.

How many seats did it have before redevelopment?

3 Marks

5

Solve the equation

8 cos x° − 5° = 2; 0° ≤ x° ≤ 360°

2 Marks

6

A footballers has the amount of passes he makes in 6 matches logged


86 99 100 81 91 83


a Calculate the mean and standard deviation of the passes

4 Marks

After an injury, the player's mean amount of passes per game was 82 and
the standard deviation was 10.

b Make two appropriate commons about the player's amount of passes after injury.

2 Marks

7

A train tunnel cross section is in the shape of part of a circle.

The radius of the circle is 11m.

The width of the tunnel at ground level is 18m.

Calculate the height of the tunnel.

4 Marks

8

These two shapes are mathematically similar.

8

The smaller shape has an area of 12cm².

Calculate the area of the larger shape

3 Marks

End of Paper