Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th March 2012
- 1Bounds3 marks
A block has mass 270 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Factorising Harder Quadratics3 marks
Solve 8x^2 + 2x - 1 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of m and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 40 wins. How many games did they play?
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