Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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12th May 2026

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 10 cm by 10 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?

  4. 4
    Surds3 marks

    Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).

  5. 5
    Transforming Graphs y=f(x)3 marks

    The point (2, -3) lies on y = f(x). Write down its image on y = -f(x).

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