Daily Practice

Higher Plus

23rd September 1977

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

1
Surds3 marks
Rationalise the denominator of 48/sqrt(6), giving your answer in its simplest form.
2
Completing the Square3 marks
Write x^2 + 12x - 4 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 7 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 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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