Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd September 2017
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x + 2.
- 4Velocity Time Graphs3 marks
A tram runs at 15 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 4 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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