Daily Practice

Higher Plus

28th April 1987

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

1
Surds3 marks
Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
2
Factorising Harder Quadratics3 marks
Solve 6x^2 - 19x + 15 = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 8 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 41°, side a is 17 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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