Daily Practice

Higher Plus

4th May 1989

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(48) + sqrt(75), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 4x - 9. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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