Daily Practice

Higher Plus

13th July 1971

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 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
5
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.

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