Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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23rd April 2026

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

  1. 1
    Velocity Time Graphs2 marks

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

  2. 2
    The Sine Rule3 marks

    In triangle ABC, angle A is 67°, side a is 16 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.

  3. 3
    Conditional Probability3 marks

    A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  4. 4
    Histograms3 marks

    On a histogram the bar for 10 < x <= 15 has a frequency density of 1.2. How many values are in that class?

  5. 5
    Surds3 marks

    Simplify sqrt(80) + sqrt(20), giving your answer in the form a sqrt(b).

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