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Higher Plus

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19th September 1956

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

  1. 1
    Bounds3 marks

    A rectangle is 10 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Inverse and Composite Functions3 marks

    f(x) = 4x - 6 and g(x) = 5x + 1. Work out fg(1).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 13 cm and 6 cm and an area of 19.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.

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