Higher Plus
29th March 1984
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 13 cm by 10 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 3 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 0.4, one 10 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
- 5Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
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