Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 9.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of q and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 36 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
- 5Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
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 2024, including the monthly compilation PDF.