Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th October 2008
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and q.
- 3Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 60 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
- 5Bounds3 marks
x = 138 and y = 85, each correct to the nearest whole number. Work out the upper bound of x - y.
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