Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th April 2026
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 6b and vector RS = 25a + 30b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 98 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 3. How many values in total?
- 4Bounds3 marks
A block has mass 630 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5Algebraic Fractions3 marks
Write 3/(x - 5) + 4/(x - 6) as a single fraction.
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 April 2026, including the monthly compilation PDF.