Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th June 2000
- 1Bounds3 marks
A block has mass 830 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Factorising Harder Quadratics3 marks
Solve 10x^2 - 33x + 20 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 13 cm and 8 cm. Work out the angle opposite the 13 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 2/3. Work out n.
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