Daily Practice

Higher Plus

19th April 1984

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 9 cm and 9 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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