Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th July 2026
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A car covers 730 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 12 m/s over 10 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 = 4a + b and vector RS = 16a + 4b. What does this show about PQ and RS?
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