Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th September 2025

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

1
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
4
Inverse and Composite Functions3 marks
f(x) = 2x + 12. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.

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