Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th February 2021
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 10 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 3 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 770 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 24, 49, 84. Work out the second difference, and the coefficient of n^2.
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