Daily Practice

Higher Plus

24th March 1989

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 5 cm with an angle of 80° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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