Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th April 2004
- 1Bounds3 marks
A rectangle is 13 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Rearranging Harder Formulae3 marks
Make x the subject of 6x + 7 = y(x + 7).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 4.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 49°, side a is 19 cm and side b is 9 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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