Daily Practice

Higher Plus

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25th March 1990

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

  1. 1
    Bounds3 marks

    x = 141 and y = 47, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Inverse and Composite Functions3 marks

    f(x) = 2x - 8 and g(x) = 5x + 8. Work out fg(4).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 16 cm and 10 cm and an area of 69.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.

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