Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th June 2008
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of a and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 12 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
- 5Bounds3 marks
A car covers 890 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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