Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th August 2012
- 1Bounds3 marks
A rectangle is 29 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 7, 15, 27. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 64.
- 4The Cosine Rule3 marks
A triangle has sides 12 cm, 8 cm and 8 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/11. Work out n.
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