Daily Practice

Higher Plus

15th March 1977

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

1
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
2
Algebraic Fractions3 marks
Simplify (x^2 - 7x + 12)/(x - 3).
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 6 cm and 13 cm. Work out the angle opposite the 11 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 7/12. Work out n.

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