Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th February 2023
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 41°, side a is 15 cm and side b is 12 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 8 red and 5 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 2, 3, 0.5, 1. Which class contains the median?
- 5Bounds3 marks
A rectangle is 7 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
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