Daily Practice · Higher

Daily Practice - Higher

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

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28th August 2026

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

  1. 1
    The Sine Rule3 marks

    In triangle ABC, angle A is 46°, angle B is 66° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.

  2. 2
    Venn Diagrams3 marks

    In a Venn diagram, 9 are in A only, 10 in B only, 8 in both and 9 in neither. Work out the probability a random one is in both.

  3. 3
    Capture Recapture2 marks

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

  4. 4
    Reverse Percentages3 marks

    A bill is £864 including VAT at 20%. Work out the amount before VAT.

  5. 5
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 - 4.

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