Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th October 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 18 m/s to rest in 5 seconds. Work out its deceleration.

  2. 2
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = a and vector OB = c. P is the midpoint. Write vector OP in terms of a and c.

  3. 3
    Probability Equation Questions3 marks

    The probability of winning a game is 4/5. A player expects 120 wins. How many games did they play?

  4. 4
    Histograms3 marks

    On a histogram the bar for 20 < x <= 30 has a frequency density of 2.4. How many values are in that class?

  5. 5
    Bounds3 marks

    A block has mass 860 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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