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Higher Plus

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19th October 1980

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

  1. 1
    Bounds3 marks

    x = 128 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Completing the Square3 marks

    Write x^2 - 16x + 7 in the form (x + a)^2 + b.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 81.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = a and vector OB = q. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and q.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 2/5. A player expects 16 wins. How many games did they play?

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