Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th February 2009
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of b and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 5 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
- 5Bounds3 marks
A block has mass 610 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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