Daily Practice - Higher Plus
1st January 1993
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 48 m/s over 20 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 6 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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