Daily Practice

Higher Plus

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9th October 1985

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.

  2. 2
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?

  3. 3
    Bounds3 marks

    A rectangle is 30 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.

  4. 4
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 25.

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