Daily Practice - Higher Plus
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
- 4Velocity Time Graphs3 marks
A tram runs at 12 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 7 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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