Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st February 1995

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 5x^2 - 16x - 16 = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 12 cm with an angle of 108° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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