Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th November 2003
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 3Inverse and Composite Functions3 marks
f(x) = 3x - 12. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs3 marks
A tram runs at 10 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.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
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