Higher Plus
12th April 1967
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A rectangle is 18 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Inverse and Composite Functions3 marks
f(x) = 6x + 4. Work out the inverse function f^-1(x).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 98.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 12 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of April 1967, including the monthly compilation PDF.