Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd January 2026
- 1Rearranging Harder Formulae3 marks
Make x the subject of 8x + 4 = y(x + 4).
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 24 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 9 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
- 5Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
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