Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th October 1993

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
Inverse and Composite Functions3 marks
f(x) = 4x - 1. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 36 m/s to rest in 10 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 6 cm and an area of 27.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.

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