Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th December 2003
- 1Surds3 marks
Simplify sqrt(32) + sqrt(2), giving your answer in the form a sqrt(b).
- 2Quadratic Inequalities3 marks
Solve x^2 - 11x + 18 > 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of b and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 3 wins. How many games did they play?
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