Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th February 2008
- 1Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
- 2Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
- 4Transforming Graphs y=f(x)3 marks
The point (-3, 4) lies on y = f(x). Write down its image on y = f(x - 3).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
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