Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 53 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Factorising Harder Quadratics3 marks
Solve 10x^2 + 27x + 5 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = q. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of m and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 13 wins. How many games did they play?
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 May 2023, including the monthly compilation PDF.