Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

14th October 2008

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 3 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 21, 49, 87. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 8 seconds. Work out its deceleration.

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