Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th April 2009
- 1Bounds3 marks
A block has mass 850 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x + 3.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of p and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 11 wins. How many games did they play?
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