Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th March 2005
- 1Bounds3 marks
A rectangle is 24 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 49.
- 4The Cosine Rule3 marks
A triangle has sides of 14 cm and 5 cm with an angle of 68° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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