Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th September 2026
- 1Surds3 marks
Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
- 2Inverse and Composite Functions3 marks
f(x) = 5x - 5. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of p and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 12 wins. How many games did they play?
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