Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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9th November 2025

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?

  2. 2
    Bounds3 marks

    x = 99 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Proof2 marks

    In an algebraic proof, how would you write three consecutive integers in terms of an integer n?

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 6 m/s to 11 m/s over 10 seconds. Work out the acceleration.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 9 cm by 14 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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