Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st December 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A rectangle is 18 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Factorising Harder Quadratics3 marks
Solve 16x^2 + 8x - 15 = 0.

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