Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th December 1997
- 1Bounds3 marks
x = 97 and y = 63, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Factorising Harder Quadratics3 marks
Solve 9x^2 - 16 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides of 8 cm and 9 cm with an angle of 76° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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