Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th November 2024
- 1Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
- 3Bounds3 marks
A block has mass 860 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 3, 3, 5, 9, ...
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
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