Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Quadratic Inequalities3 marks
Solve x^2 + 10x + 21 > 0.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 50 m/s over 20 seconds. Work out the acceleration.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 10 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4Conditional Probability3 marks
A bag holds 8 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 5Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 3. How many values in total?
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 June 2025, including the monthly compilation PDF.