Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th June 2001

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 36/55. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 10 seconds. Work out its deceleration.

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