Higher Plus
4th February 1981
- 1Bounds3 marks
A rectangle is 6 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x + 10.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides of 16 cm and 8 cm with an angle of 140° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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Any date always gives the same five questions, so a sheet can be set again or shared. All of February 1981, including the monthly compilation PDF.