Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th November 2007
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 10 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 130 and y = 105, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
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