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Higher Plus

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4th February 1981

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

  1. 1
    Bounds3 marks

    A rectangle is 6 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 6x + 10.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 16 cm and 8 cm with an angle of 140° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 5 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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