Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th March 2026

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

1
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Simplify sqrt(80) + sqrt(180), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 12x^2 + 11x - 15 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.

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