Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd April 2007
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 11 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 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
x = 200 and y = 185, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Inverse and Composite Functions3 marks
f(x) = 4x + 6. Work out the inverse function f^-1(x).
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