Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th March 2004
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
- 5Bounds3 marks
x = 107 and y = 41, each correct to the nearest whole number. Work out the upper bound of x - y.
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