Daily Practice

Higher Plus

7th August 1986

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 4x - 8 and g(x) = 6x + 8. Work out fg(1).
3
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 9 cm with an angle of 134° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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