Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd November 2004
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. M is the midpoint. Write vector OM in terms of a and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 10 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 5Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
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