Daily Practice

Higher Plus

18th June 1985

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 (8 + sqrt(10))(8 - sqrt(10)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 7) with x(0) = 3. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 14 m/s for 10 s, then slows steadily to rest over 6 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 (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.

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