Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th October 2015
- 1Bounds3 marks
x = 144 and y = 103, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 49.
- 4The Cosine Rule3 marks
A triangle has sides of 5 cm and 8 cm with an angle of 150° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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