Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th March 2011
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 7 cm by 12 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 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 2, one 10 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
- 5Algebraic Fractions3 marks
Write 2/(x - 1) + 7/(x - 3) as a single fraction.
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