Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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2nd June 2026

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

  1. 1
    Surds3 marks

    Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).

  2. 2
    Factorising Harder Quadratics3 marks

    Solve 8x^2 + 30x + 25 = 0.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 14 m/s to rest in 8 seconds. Work out its deceleration.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 73°, side a is 12 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 9 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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