Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th July 2015
- 1Bounds3 marks
A car covers 210 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Inverse and Composite Functions3 marks
f(x) = 7x + 2. 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 = c and vector OB = a. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of c and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?
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