Higher Plus
16th December 1953
- 1Bounds3 marks
A rectangle is 6 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 4, 13, 28, 49. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 8 cm, 16 cm and 16 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1953, including the monthly compilation PDF.