Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th September 2005
- 1Bounds3 marks
A rectangle is 15 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 16.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 13 cm and 6 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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