Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th July 2015
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 5 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 7 red and 7 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 3. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 25 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 9, 21, 39. Work out the second difference, and the coefficient of n^2.
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