Daily Practice

Higher Plus

31st August 1954

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

1
Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
2
Inverse and Composite Functions3 marks
f(x) = 7x - 10. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 31 m/s to rest in 4 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 9 cm and an area of 58.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.

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