Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd June 2014
- 1Bounds3 marks
A block has mass 260 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 6, 8, 12, 18, ...
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. M is the midpoint. Write vector OM in terms of b and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 60 wins. How many games did they play?
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