Daily Practice

Higher Plus

22nd January 1987

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 5x + 7. Work out the inverse function f^-1(x).
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 17 cm, 10 cm and 14 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.

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