Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th September 2003
- 1Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 4x + 4.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of a and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 6 wins. How many games did they play?
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