Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th January 2015
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of q and a.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 30 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
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