Daily Practice

Higher Plus

23rd August 1983

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
2
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 15 cm with an angle of 150° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 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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