Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th January 2007

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

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 29 m/s to rest in 5 seconds. Work out its deceleration.

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