Daily Practice

Higher Plus

20th September 1990

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
3
Factorising Harder Quadratics3 marks
Solve 4x^2 + 17x - 15 = 0.
4
Velocity Time Graphs3 marks
A tram runs at 8 m/s for 20 s, then slows steadily to rest over 10 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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