Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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4th April 2025

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

  1. 1
    Velocity Time Graphs2 marks

    A train slows steadily from 28 m/s to rest in 5 seconds. Work out its deceleration.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides of 14 cm and 8 cm with an angle of 75° between them. Work out the third side, to 1 decimal place.

  3. 3
    Conditional Probability3 marks

    A bag holds 5 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  4. 4
    Histograms3 marks

    On a histogram the bar for 60 < x <= 70 has a frequency density of 2.4. How many values are in that class?

  5. 5
    Surds3 marks

    Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.

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