Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th July 2009
- 1Bounds3 marks
x = 185 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Quadratic Inequalities3 marks
Solve x^2 - 16 > 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of a and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 48 wins. How many games did they play?
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