Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd December 2017
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 62 and y = 47, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Inverse and Composite Functions3 marks
f(x) = 4x + 8 and g(x) = 6x - 5. Work out fg(5).
- 4Velocity Time Graphs3 marks
A tram runs at 15 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
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