Higher Plus
17th August 1980
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 6 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 3. How many values in total?
- 4Bounds3 marks
x = 144 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -1, 11, 33, 65. Work out the second difference, and the coefficient of n^2.
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