Daily Practice

Higher Plus

4th October 1984

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(45) + sqrt(20), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 15 cm and 9 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.

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