Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st June 2022
- 1Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 55 wins. How many games did they play?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
- 3Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 10, 18, 30. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
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