Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th September 2001
- 1Bounds3 marks
A rectangle is 9 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Inverse and Composite Functions3 marks
f(x) = 2x - 6 and g(x) = 2x - 2. Work out fg(6).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 14 cm, 13 cm and 7 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.
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