Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th December 2017
- 1Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
- 4Transforming Graphs y=f(x)3 marks
The point (-4, 2) lies on y = f(x). Write down its image on y = f(x) - 1.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 16. Work out y when x = 2.
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