Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th July 2013
- 1Bounds3 marks
x = 98 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Factorising Harder Quadratics3 marks
Solve 15x^2 - 11x - 12 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 20 wins. How many games did they play?
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