Daily Practice

Higher Plus

16th September 1983

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

1
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 5x - 6. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 10 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 64°, side a is 16 cm and side b is 11 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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