Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 16/sqrt(2), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 12, 24, 42, 66, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
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