Higher Plus
17th December 1986
- 1Bounds3 marks
A rectangle is 23 cm by 18 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 - 8x + 3.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of c and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 10 wins. How many games did they play?
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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1986, including the monthly compilation PDF.