Higher Plus
22nd April 1989
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
A car covers 790 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Algebraic Fractions3 marks
Write 7/(x - 2) + 5/(x + 1) as a single fraction.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 22 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 13 cm by 11 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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