Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th November 2017
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 39°, side a is 9 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 11 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 5Bounds3 marks
A block has mass 380 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.
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