Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th February 2017
- 1Bounds3 marks
A car covers 250 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 4 in terms of an integer n?
- 3Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.
- 4The Cosine Rule3 marks
A triangle has sides of 18 cm and 6 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, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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