Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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25th May 2026

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.

  2. 2
    Histograms3 marks

    On a histogram the bar for 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?

  3. 3
    Bounds3 marks

    A block has mass 700 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  4. 4
    Quadratic Inequalities3 marks

    Solve x^2 + 10x + 16 < 0.

  5. 5
    Velocity Time Graphs2 marks

    A train slows steadily from 30 m/s to rest in 8 seconds. Work out its deceleration.

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