Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
- 2The Cosine Rule3 marks
A triangle has sides of 15 cm and 18 cm with an angle of 36° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 5 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
- 5Bounds3 marks
A block has mass 500 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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