Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th November 2012
- 1Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 2Completing the Square3 marks
Write x^2 - 12x - 2 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 24 wins. How many games did they play?
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