Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th August 2019
- 1Surds3 marks
Simplify sqrt(72) + sqrt(2), giving your answer in the form a sqrt(b).
- 2Quadratic Inequalities3 marks
Solve x^2 - 9x + 18 < 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 56°, side a is 19 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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