Daily Practice - Higher Plus
3rd April 1995
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A block has mass 230 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 7, 14, 25, ...
- 4Velocity Time Graphs3 marks
A tram runs at 18 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 two angles at the circumference stand on the same arc. State the reason being quoted.
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