Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th May 2010

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(8) + sqrt(18), giving your answer in the form a sqrt(b).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 1) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 10 seconds. Work out its deceleration.

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