Daily Practice

Higher Plus

6th October 1987

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
3
Inverse and Composite Functions3 marks
f(x) = 2x - 3 and g(x) = 6x + 3. Work out fg(2).
4
Velocity Time Graphs3 marks
A tram runs at 5 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.

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