Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th September 2019
- 1Bounds3 marks
A rectangle is 14 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Inverse and Composite Functions3 marks
f(x) = 6x - 1. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of p and q.
- 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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