Daily Practice

Higher Plus

20th April 1961

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write a multiple of 3 in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 8 cm and 11 cm with an angle of 116° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 5 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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