Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th December 2000
- 1Conditional Probability3 marks
A bag holds 4 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
- 3Bounds3 marks
A block has mass 270 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Quadratic Inequalities3 marks
Solve x^2 + 3x - 4 > 0.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
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