Daily Practice

Higher Plus

1st April 1983

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

1
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 7 and g(x) = 3x + 7. Work out fg(5).
3
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 4 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 10 cm and an area of 28.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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