Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th February 2026

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

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A car covers 610 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  3. 3
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 4x - 13.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 4 m/s to 10 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 6 cm by 14 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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