Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th January 2025
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 15 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/7. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 5Quadratic Inequalities3 marks
Solve x^2 + 8x + 15 < 0.
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 January 2025, including the monthly compilation PDF.