Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th February 2026
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - b and vector RS = 20a - 5b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 117 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
- 5Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
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 February 2026, including the monthly compilation PDF.