Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th September 2011
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
x = 197 and y = 50, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 3) with x(0) = 3. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 23 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 6 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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