Daily Practice

Higher Plus

10th December 1985

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

1
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
2
Inverse and Composite Functions3 marks
f(x) = 7x + 8. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 10 cm with an angle of 91° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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