Daily Practice

Higher Plus

3rd August 1973

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

1
Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 11 cm and 11 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.

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