Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 189 and y = 124, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Algebraic Fractions3 marks
Simplify (x^2 + 17x + 72)/(x + 8).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 49.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of a and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 22 wins. How many games did they play?
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