Daily Practice

Higher Plus

12th February 1954

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) = 1/55. Work out r.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 35/sqrt(5), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 - 9x + 8)/(x - 1).
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 5 seconds. Work out its deceleration.

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