Higher Plus
28th April 1965
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 26 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Inverse and Composite Functions3 marks
f(x) = 5x - 6. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 16 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 4 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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