Daily Practice

Higher Plus

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26th May 1985

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

  1. 1
    Bounds3 marks

    x = 61 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 64.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = p and vector OB = c. X is the midpoint. Write vector OX in terms of p and c.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 1/10. A player expects 6 wins. How many games did they play?

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