Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th November 2001
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of q and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 45 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 5Bounds3 marks
x = 93 and y = 82, each correct to the nearest whole number. Work out the upper bound of x - y.
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