Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th March 2022
- 1Conditional Probability3 marks
A bag holds 3 red, 7 blue and 5 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 <= 45 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 30, 56, 90. Work out the second difference, and the coefficient of n^2.
- 5Velocity Time Graphs2 marks
A train slows steadily from 12 m/s to rest in 4 seconds. Work out its deceleration.
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