Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th April 2009
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 49.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of a and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 30 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.
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