Daily Practice

Higher Plus

16th March 1954

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

1
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
2
Inverse and Composite Functions3 marks
f(x) = 3x + 1 and g(x) = 4x + 6. Work out fg(6).
3
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 5 cm, 13 cm and 14 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.

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