Daily Practice

Higher Plus

19th September 1989

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
3
Inverse and Composite Functions3 marks
f(x) = 5x - 3 and g(x) = 5x + 1. Work out fg(2).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 14 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 11 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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