Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th January 2012
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 19 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 5, 10, 19, ...
- 4Velocity Time Graphs3 marks
A tram runs at 4 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.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
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