Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th March 2011
- 1Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
- 2Completing the Square3 marks
Write x^2 - 4x + 2 in the form (x + a)^2 + b.
- 3Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 5 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides of 10 cm and 9 cm with an angle of 118° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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