Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th August 2015
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 9 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 8 red and 6 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 10 units wide with frequency density 1.5, one 10 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.
- 5Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
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