Daily Practice
Higher Plus
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15th July 1987
- 1Bounds3 marks
A rectangle is 11 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Simplify (x^2 - 7x + 12)/(x - 4).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of b and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 6 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 July 1987, including the monthly compilation PDF.