Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th December 2002
- 1Bounds3 marks
x = 43 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 18 cm, 13 cm and 10 cm. Work out the angle opposite the 18 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 1/5. Work out n.
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