Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th September 2015
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 9 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Inverse and Composite Functions3 marks
f(x) = 5x + 8 and g(x) = 2x - 9. Work out fg(6).
- 4Velocity Time Graphs3 marks
A tram runs at 14 m/s for 10 s, then slows steadily to rest over 4 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 (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
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