Daily Practice

Higher Plus

11th September 1987

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

1
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 6 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 <= 40 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
4
Factorising Harder Quadratics3 marks
Solve 6x^2 + 7x - 3 = 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 31 m/s to rest in 4 seconds. Work out its deceleration.

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