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Higher Plus

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12th November 1988

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Bounds3 marks

    A car covers 600 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  2. 2
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 9, 16, 29, 48. Work out the second difference, and the coefficient of n^2.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 19 cm, 15 cm and 6 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.

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