Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd April 1999
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.
- 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 : 3. Write vector ON in terms of b and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 15 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 5Bounds3 marks
A car covers 610 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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