Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th October 1999
- 1Bounds3 marks
x = 184 and y = 32, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Quadratic Inequalities3 marks
Solve x^2 - 13x + 30 < 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of q and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 12 wins. How many games did they play?
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