Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th October 2012
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 10 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 4 red and 4 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 20 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 4Bounds3 marks
x = 117 and y = 40, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
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