Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th July 2003
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 9. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of a and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 42 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 10/sqrt(5), giving your answer in its simplest form.
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