Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd December 2002
- 1Bounds3 marks
A block has mass 260 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Inverse and Composite Functions3 marks
f(x) = 4x + 10. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. M is the midpoint. Write vector OM in terms of a and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 52 wins. How many games did they play?
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