Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th April 2001
- 1Bounds3 marks
x = 64 and y = 33, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Algebraic Fractions3 marks
Write 5/(x - 6) + 2/(x - 1) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
- 4The Cosine Rule3 marks
A triangle has sides 28 cm, 16 cm and 14 cm. Work out the angle opposite the 28 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 1/3. Work out n.
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