Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd December 2006
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. P is the midpoint. Write vector OP in terms of c and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 10 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
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