Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd October 2002

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

1
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 2 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 20 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
5
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 8 seconds. Work out its deceleration.

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