Daily Practice

Higher Plus

8th January 1985

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

1
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
2
Algebraic Fractions3 marks
Simplify (x^2 + 6x + 5)/(x + 1).
3
Velocity Time Graphs2 marks
A train slows steadily from 34 m/s to rest in 8 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 52°, side a is 17 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 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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