Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 148 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 10x - 14.
- 3Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 8 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides of 11 cm and 16 cm with an angle of 86° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 4 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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