Higher Plus
13th December 1990
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(48) + sqrt(147), giving your answer in the form a sqrt(b).
- 3Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 30 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 13 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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