Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th October 2009
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 16. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 9 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
- 5Bounds3 marks
A rectangle is 21 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
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