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25th June 1957

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Circle Theorems2 marks

    ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.

  2. 2
    Probability Trees3 marks

    A bag holds 5 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.

  3. 3
    Capture Recapture3 marks

    10 beetles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.

  4. 4
    Standard Form3 marks

    Work out (27 x 10^11) / (3 x 10^4). Give your answer in standard form.

  5. 5
    Changing the Subject of a Formula3 marks

    Make x the subject of y = 5x^2 - 10.

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