Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th September 2001
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 10 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?
- 4Surds3 marks
Simplify sqrt(32) + sqrt(32), giving your answer in the form a sqrt(b).
- 5Inverse and Composite Functions3 marks
f(x) = 5x - 8. Work out the inverse function f^-1(x).
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