Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th October 2002
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 21 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 5 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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