Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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3rd September 2026

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.

  2. 2
    Probability Trees3 marks

    A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.

  3. 3
    Histograms2 marks

    A histogram class is 2 units wide and contains 5 values. Work out the frequency density.

  4. 4
    The Product Rule for Counting3 marks

    A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

  5. 5
    Parallel and Perpendicular Lines3 marks

    Work out the equation of the line parallel to y = -3x + 7 that passes through (4, 0).

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