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Higher Plus

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19th September 1965

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    x = 127 and y = 33, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Trigonometric and Exponential Graphs2 marks

    The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 8 m/s to 14 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 6 cm by 4 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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