Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th August 2012
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 8 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 6 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?
- 4Bounds3 marks
A rectangle is 21 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 9, 21, 37, ...
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