Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 96 and y = 29, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Inverse and Composite Functions3 marks
f(x) = 5x - 8. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of b and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?
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