Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th September 2010
- 1Bounds3 marks
x = 160 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x + 3.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 81.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of m and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 6 wins. How many games did they play?
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