Daily Practice · Higher

Daily Practice - Higher

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

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6th June 2025

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

  1. 1
    Capture Recapture2 marks

    A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

  2. 2
    The Product Rule for Counting2 marks

    A meal deal has 3 mains, 6 sides and 4 drinks. How many different meals are possible?

  3. 3
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 + 13x + 42.

  4. 4
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 7, y = 35. Work out y when x = 14.

  5. 5
    The Sine Rule3 marks

    In triangle ABC, angle A is 71°, angle B is 40° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.

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