Daily Practice

Higher Plus

28th January 1966

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

1
Conditional Probability3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
4
Quadratic Inequalities3 marks
Solve x^2 - 8x + 15 < 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 4 seconds. Work out its deceleration.

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