Higher Plus
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
A block has mass 470 g (to the nearest 10 g) and volume 19 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 Sequence2 marks
A quadratic sequence starts 14, 29, 52, 83. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A tram runs at 6 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 a tangent meets a radius at the point of contact. State the reason being quoted.
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