Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th June 2025

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Bounds3 marks

    A car covers 390 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  2. 2
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 28 m/s to rest in 4 seconds. Work out its deceleration.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 49°, side a is 13 cm and side b is 11 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 4 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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