Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th November 1998
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 8) with x(0) = 1. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A tram runs at 5 m/s for 10 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 tangents are drawn to a circle from the same external point. State the reason being quoted.
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