Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 2006
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 6) with x(0) = 4. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A tram runs at 16 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.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 10a + 10b. What does this show about PQ and RS?
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