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14th April 1970

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

  1. 1
    Capture Recapture3 marks

    45 fish are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.

  2. 2
    Fractional and Negative Indices3 marks

    Work out 64^(2/3).

  3. 3
    Drawing Other Graphs: Cubic/Reciprocal2 marks

    For the curve y = -8/x, work out y when x = -2, and write down the equation of its vertical asymptote.

  4. 4
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 5 : 8. Write y in terms of x.

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

    Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 297 cm^3. Work out the volume of the smaller.

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