Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th December 2015
- 1Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 16, 29, 48. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 64.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of q and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 56 wins. How many games did they play?
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