Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th September 2003
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 81.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of p and a.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 72 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 5Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
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