Higher Plus
17th November 1971
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A rectangle is 29 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 13, 23, 37. Work out the second difference, and the coefficient of n^2.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 54.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 15 cm by 13 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 November 1971, including the monthly compilation PDF.