Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th February 2024

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

  1. 1
    Surds3 marks

    Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).

  2. 2
    Algebraic Fractions3 marks

    Simplify (x^2 - 7x + 6)/(x - 6).

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 27 m/s to rest in 8 seconds. Work out its deceleration.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 52°, side a is 17 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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