common maths written questions

Trapezium rule - ways to make the trapezium rule more accurate (1 mark) 3 points

• smaller width

• More trapezia

• Across the same range

Functions - Why does the solution to f(x) = x the solution to the equation f(x)=f-1(x)? (1 mark)

F(x) and f-1(x) are reflections in the line y=x so the point of intersection must be on y=x

Arithmetic sequences - how realistic is a model which increases in the same pay every month, in the long term (1 mark)

Not very likely as will not stay at that job that long, and the rate of pay is more likely to increase by percentage rather than by a certain amount.

Why does a x solution for f(x)=x also a solution to the equation f(x) = f-1(x) (1 mark)

F(x) and f-1(x) are reflections in the line y=x so the point of intersection must be on y=x