Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd February 2007

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

1
Conditional Probability3 marks
A bag holds 9 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 40 < x <= 50 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).
4
Completing the Square3 marks
Write x^2 - 2x - 10 in the form (x + a)^2 + b.
5
Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 8 seconds. Work out its deceleration.

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