Daily Practice

Higher Plus

28th April 1955

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(245), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 3x - 7 and g(x) = 6x - 3. Work out fg(-3).
3
Velocity Time Graphs2 marks
A train slows steadily from 15 m/s to rest in 5 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 13 cm and an area of 45.03 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) = 5/12. Work out r.

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