Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th May 2026

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  2. 2
    Histograms3 marks

    On a histogram the bar for 20 < x <= 30 has a frequency density of 0.4. How many values are in that class?

  3. 3
    Bounds3 marks

    A rectangle is 20 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.

  4. 4
    Trigonometric and Exponential Graphs2 marks

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

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.

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