Daily Practice

Higher Plus

23rd June 1983

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(80) + sqrt(20), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 5x - 5. Work out the inverse function f^-1(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 24 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 12 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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