Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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23rd February 2022

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

  1. 1
    Bounds3 marks

    A rectangle is 17 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 2x - 4.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 16 m/s to rest in 8 seconds. Work out its deceleration.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 53°, side a is 16 cm and side b is 12 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 6 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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