Daily Practice

Higher Plus

11th September 1964

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

1
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 5 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 30 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
4
Completing the Square3 marks
Write x^2 - 16x + 4 in the form (x + a)^2 + b.
5
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 8 seconds. Work out its deceleration.

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