Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th March 2003
- 1Bounds3 marks
A rectangle is 7 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Simplify (x^2 + 5x + 6)/(x + 3).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 40°, side a is 13 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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