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Daily Practice - Higher

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

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5th February 2010

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 54°, angle B is 63° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.

  2. 2
    Venn Diagrams3 marks

    In a Venn diagram, 8 are in A only, 5 in B only, 5 in both and 4 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 fish population of a pond. State one assumption the method relies on.

  4. 4
    Fractional and Negative Indices3 marks

    Work out 100^(3/2).

  5. 5
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 + 2x - 15.

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