Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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14th May 2025

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

  1. 1
    Bounds3 marks

    A rectangle is 12 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 5, 7, 11, 17, ...

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 8 cm and 13 cm with an angle of 147° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 4 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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