Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th August 2006
- 1Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 2Factorising Harder Quadratics3 marks
Solve 20x^2 + x - 1 = 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 = b and vector OB = p. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of b and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 30 wins. How many games did they play?
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