Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

12th March 2026

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. M is the midpoint. Write vector OM in terms of m and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Surds3 marks
Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).

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