Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th December 2011
- 1Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 22 wins. How many games did they play?
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