Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th January 2009
- 1Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
- 2Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 8 in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 25.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of q and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 30 wins. How many games did they play?
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