Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th October 2011
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 6/11. Work out r.
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 14, 24, 38, 56, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.
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