Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th November 2006
- 1Bounds3 marks
A rectangle is 18 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Write 5/(x + 4) + 3/(x + 5) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
- 4The Cosine Rule3 marks
A triangle has sides 10 cm, 9 cm and 16 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
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