Daily Practice

Higher Plus

1st April 1960

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

1
Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 8x + 9. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 8 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 13 cm and an area of 45.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.

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