Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th August 2009
- 1Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
- 2Rearranging Harder Formulae3 marks
Make x the subject of 6x + 6 = y(x + 6).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of q and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 112 wins. How many games did they play?
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