Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th August 1998
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 27. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. M is the midpoint. Write vector OM in terms of a and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/4. 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 2, 3, 1, 0.5. Which class contains the median?
- 5Surds3 marks
Simplify sqrt(72) + sqrt(50), giving your answer in the form a sqrt(b).
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