Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st February 2011

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 7 red and 3 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 0 < x <= 20 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
4
Algebraic Fractions3 marks
Simplify (x^2 + 8x + 7)/(x + 7).
5
Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.

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