Daily Practice

Higher Plus

23rd August 1957

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

1
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 10 seconds. Work out its deceleration.
2
The Sine Rule3 marks
In triangle ABC, angle A is 42°, side a is 18 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
3
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?
4
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.

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