Daily Practice

Higher Plus

30th August 1971

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

1
Conditional Probability3 marks
A bag holds 6 red and 3 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 0 < x <= 10 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A block has mass 430 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Quadratic Inequalities3 marks
Solve x^2 + x - 12 < 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 8 seconds. Work out its deceleration.

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