Daily Practice · Higher Plus

Daily Practice - Higher Plus

16th January 1996

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
3
Inverse and Composite Functions3 marks
f(x) = 3x + 10. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A tram runs at 17 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 5 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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