Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th April 1998
- 1Bounds3 marks
A block has mass 210 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 7) with x(0) = 2. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides of 10 cm and 14 cm with an angle of 92° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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