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27th November 1976

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Bounds3 marks

    A car covers 480 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 4x - 1.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 16 cm and 11 cm with an angle of 79° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 7 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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