Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th October 2016
- 1Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
- 2Inverse and Composite Functions3 marks
f(x) = 4x + 8 and g(x) = 2x - 9. Work out fg(3).
- 3Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 10 seconds. Work out its deceleration.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 8 cm and an area of 18.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
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