Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 2026
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 36.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 5Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
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