Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd December 2008
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A tram runs at 18 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.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 10 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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