Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th March 1998
- 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?
- 2Bounds3 marks
A rectangle is 12 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 4Velocity Time Graphs3 marks
A tram runs at 16 m/s for 30 s, then slows steadily to rest over 6 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 the angle in a semicircle is being proved. State the reason being quoted.
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