Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th October 2005
- 1Bounds3 marks
A car covers 390 m (to the nearest 10 m) in 9 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 + 9. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 25.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of c and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 14 wins. How many games did they play?
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