Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th September 2010
- 1Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
- 2Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 74°, side a is 19 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 9 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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