Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st April 2012
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 11 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 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 79 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Algebraic Fractions3 marks
Simplify (x^2 + 2x - 48)/(x - 6).
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