Daily Practice

Higher Plus

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18th May 1967

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?

  2. 2
    Surds3 marks

    Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).

  3. 3
    Inverse and Composite Functions3 marks

    f(x) = 2x - 2 and g(x) = 6x - 9. Work out fg(-3).

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 6 m/s to 36 m/s over 10 seconds. Work out the acceleration.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 5 cm by 14 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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