Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th December 2022
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 79 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 18, 30, 46. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A tram runs at 19 m/s for 10 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 7 cm by 7 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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