Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd August 2000
- 1Bounds3 marks
A rectangle is 20 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x + 15.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 25.
- 4The Cosine Rule3 marks
A triangle has sides of 6 cm and 12 cm with an angle of 50° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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