Daily Practice

Higher Plus

31st May 1973

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

1
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 10 seconds. Work out its deceleration.
2
The Sine Rule3 marks
In triangle ABC, angle A is 49°, side a is 15 cm and side b is 11 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).

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