Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th December 1998
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of p and a.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 48 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
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