Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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6th August 2026

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

  1. 1
    Histograms2 marks

    On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?

  2. 2
    Surds3 marks

    Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).

  3. 3
    Trigonometric and Exponential Graphs2 marks

    The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.

  4. 4
    Velocity Time Graphs3 marks

    A tram runs at 10 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 10 cm by 14 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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