Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Rationalise the denominator of 30/sqrt(6), giving your answer in its simplest form.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.
- 3Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 5 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides of 12 cm and 18 cm with an angle of 120° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 red, 6 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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