Daily Practice

Higher Plus

31st December 1981

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

1
Surds3 marks
Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 5/(x - 4) + 7/(x + 1) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 8 cm and 18 cm with an angle of 103° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 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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