Daily Practice

Higher Plus

27th May 1980

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
3
Inverse and Composite Functions3 marks
f(x) = 4x - 8. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A tram runs at 7 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 6b and vector RS = 3a - 18b. What does this show about PQ and RS?

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