Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
- 3Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
- 4Transforming Graphs y=f(x)3 marks
The point (4, -3) lies on y = f(x). Write down its image on y = f(-x).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
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