Higher Plus
28th June 1990
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 2) with x(0) = 5. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 21 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 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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