Daily Practice

Higher Plus

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14th March 1985

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 3. How many more values are in the wider class?

  2. 2
    Surds3 marks

    Simplify sqrt(32) + sqrt(32), giving your answer in the form a sqrt(b).

  3. 3
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 7, 20, 41, 70, ...

  4. 4
    Velocity Time Graphs3 marks

    A tram runs at 15 m/s for 10 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 14 cm by 10 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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