Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th November 2020
- 1Conditional Probability3 marks
A bag holds 3 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
A block has mass 830 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 5Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
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