Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 81.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 40 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.
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