Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th April 2011
- 1Bounds3 marks
x = 141 and y = 68, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Algebraic Fractions3 marks
Simplify (x^2 + 9x + 18)/(x + 3).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
- 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 7/8. A player expects 49 wins. How many games did they play?
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