Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th March 2007
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 10 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 11 red and 3 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 0.4, one 5 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Simplify sqrt(20) + sqrt(245), giving your answer in the form a sqrt(b).
- 5Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
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