Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th March 2026
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-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(7), giving your answer in its simplest form.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 23 m/s over 8 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 = 3a - b and vector RS = 6a - 2b. What does this show about PQ and RS?
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