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Higher Plus

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21st June 1967

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 15 cm by 13 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.

  3. 3
    Histograms2 marks

    On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  4. 4
    Bounds3 marks

    A rectangle is 17 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.

  5. 5
    Inverse and Composite Functions3 marks

    f(x) = 6x + 7 and g(x) = 2x + 8. Work out fg(3).

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