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14th July 1995

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 moth population of a meadow. State one assumption the method relies on.

  2. 2
    The Product Rule for Counting3 marks

    A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

  3. 3
    Expanding Triple Brackets3 marks

    Expand and simplify (x + 4)(x + 5)(x + 3).

  4. 4
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 6, y = 24. Work out y when x = 12.

  5. 5
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.

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