Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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20th May 2026

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?

  2. 2
    Bounds3 marks

    A rectangle is 18 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 16x + 9.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 8 m/s to 18 m/s over 20 seconds. Work out the acceleration.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.

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