Daily Practice

Higher Plus

22nd April 1988

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

1
Surds3 marks
Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 19, 29, 41. Work out the second difference, and the coefficient of n^2.
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 5 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 45°, side a is 12 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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