Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th November 2007
- 1Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x + 8.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 27. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of a and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 8 wins. How many games did they play?
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