Daily Practice · Higher

Daily Practice - Higher

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

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14th July 2025

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

  1. 1
    Parallel and Perpendicular Lines3 marks

    Work out the equation of the line parallel to y = -3x + 8 that passes through (3, 2).

  2. 2
    Repeated Percentage Change3 marks

    A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.

  3. 3
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.

  4. 4
    Probability Trees3 marks

    A bag holds 5 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.

  5. 5
    Cumulative Frequency2 marks

    A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?

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