Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th January 2026
- 1Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 20.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 6b and vector RS = 18a - 18b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 30 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 1.4. 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 January 2026, including the monthly compilation PDF.