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8th December 1967

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 ladybird population of a garden. State one assumption the method relies on.

  2. 2
    Fractional and Negative Indices3 marks

    Work out 125^(2/3).

  3. 3
    Expanding Triple Brackets3 marks

    Expand and simplify (x + 1)(x + 4)(x + 4).

  4. 4
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 4, y = 36. Work out y when x = 2.

  5. 5
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1967, including the monthly compilation PDF.