Daily Practice

Higher Plus

6th May 1958

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

1
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 9, 25, 49, ...
3
Velocity Time Graphs2 marks
A train slows steadily from 34 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 6 cm and 9 cm with an angle of 53° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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