Daily Practice · Higher

Daily Practice - Higher

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

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20th November 2015

5 questions · 12 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
    Fractional and Negative Indices2 marks

    Write 5^-2 as a fraction.

  3. 3
    Drawing Other Graphs: Cubic/Reciprocal2 marks

    For the curve y = -6/x, work out y when x = -1, and write down the equation of its vertical asymptote.

  4. 4
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 9, y = 81. Work out y when x = 5.

  5. 5
    Similar Shapes (Area and Volume)3 marks

    Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.

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