Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th November 2011
- 1Bounds3 marks
x = 41 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
- 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 inversely proportional to x^2. When x = 2, y = 27. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the midpoint. Write vector OX in terms of q and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 4 wins. How many games did they play?
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