Daily Practice

Higher Plus

23rd January 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 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
3
Completing the Square3 marks
Write x^2 - 2x - 12 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A tram runs at 17 m/s for 10 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 (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.

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