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Higher Plus

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26th August 1979

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

  1. 1
    Bounds3 marks

    x = 156 and y = 102, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 14, 25, 40, 59. Work out the second difference, and the coefficient of n^2.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = q and vector OB = b. P is the midpoint. Write vector OP in terms of q and b.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 2/5. A player expects 60 wins. How many games did they play?

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