Daily Practice

Higher Plus

15th October 1982

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

1
Surds3 marks
Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 - 9x + 14)/(x - 2).
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 4 cm, 13 cm and 13 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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