Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th March 2016
- 1Bounds3 marks
A block has mass 720 g (to the nearest 10 g) and volume 24 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) = 2x + 7 and g(x) = 6x - 6. Work out fg(5).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of c and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 12 wins. How many games did they play?
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