Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th December 2018
- 1Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 16, 36, 64, ...
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 74°, side a is 10 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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