Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th July 2023
- 1Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x - 10.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 50°, side a is 20 cm and side b is 13 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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