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Higher Plus

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26th October 1958

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

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    x = 160 and y = 125, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Algebraic Fractions3 marks

    Simplify (x^2 - 5x - 24)/(x + 3).

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 4 m/s to 22 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 12 cm by 8 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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