Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th November 2016
- 1Bounds3 marks
A rectangle is 8 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Simplify (x^2 - 8x + 7)/(x - 1).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of p and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 10 wins. How many games did they play?
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