Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th December 2004
- 1Bounds3 marks
x = 199 and y = 76, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the midpoint. Write vector OP in terms of q and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 12 wins. How many games did they play?
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