Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd November 2003
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 172 and y = 124, 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 (7x(n) + 9) with x(0) = 3. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 11 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 6b and vector RS = 5a - 30b. What does this show about PQ and RS?
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