Higher Plus
17th March 1991
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 5 cm by 10 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 7/10. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?
- 4Bounds3 marks
x = 113 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Inverse and Composite Functions3 marks
f(x) = 2x + 7 and g(x) = 2x + 5. Work out fg(-1).
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