Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 30 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Factorising Harder Quadratics3 marks
Solve 12x^2 + 11x + 2 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 9.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of a and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?
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