Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th July 2010
- 1Bounds3 marks
A rectangle is 8 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. P is the midpoint. Write vector OP in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 65 wins. How many games did they play?
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