Common Skills C
Paper 1
1
Expand and Simplify
(x² – 3x + 4)(x – 5)
3 Marks
2
Solve algebraically the inequation
2x + 5 > 7(x – 3) – 4
3 Marks
3
Find the equation of the line that cross through points
(–4, –14) and (6, –16)
Give the equation in its simplest form.
3 Marks
4
A parabola has equation y = x² –8x – 12
Write the equation in the form y = (x – a)² + b
2 Marks
5
This diagram shows the graph of y = a sin bx°
State the values of a and b
2 Marks
6
Determine the nature of the roots of the function f(x) = 4x² – x + 7
2 Marks
7
Express
in its simplest form
3 Marks
8
Two groups purchase tickets at the cinema.
Group 1 purchase 3 adult tickets and 2 child tickets for £51.
a Write down an equation to illustrate this information.
1 Mark
Group 2 purchase 4 adult tickets and 3 child tickets for £70·75
b Write down an equation to illustrate this information.
1 Mark
c Calculate the cost of an adult ticket and the cost of a child ticket
4 Marks
9
Solve
x² – 8x – 48 = 0
2 Marks
End of Paper