Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th September 2025
- 1Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x + 10.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 13 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 5 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
- 5Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of September 2025, including the monthly compilation PDF.