Daily Practice · Higher

Daily Practice - Higher

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

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15th December 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Cumulative Frequency2 marks

    A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?

  2. 2
    Surds2 marks

    Write sqrt(50) in the form a sqrt(b), where b is as small as possible.

  3. 3
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 - 4x + 3.

  4. 4
    Repeated Percentage Change3 marks

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

  5. 5
    The Sine Rule3 marks

    In triangle ABC, angle A is 36°, angle B is 60° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.

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