Daily Practice

Higher Plus

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17th November 1988

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

  1. 1
    Histograms2 marks

    On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  2. 2
    Surds3 marks

    Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).

  3. 3
    Inverse and Composite Functions3 marks

    f(x) = 2x + 1 and g(x) = 2x + 3. Work out fg(1).

  4. 4
    Velocity Time Graphs3 marks

    A tram runs at 10 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 6 cm by 4 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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