Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th March 2013
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/22. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
- 3Bounds3 marks
A block has mass 730 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 5, 13, 25, ...
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 49.
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