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Higher Plus

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31st August 1981

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    A block has mass 900 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 2x + 6 and g(x) = 6x + 3. Work out fg(6).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.

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