Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 2, 5, 10. Work out the second difference, and the coefficient of n^2.
- 3Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 5 seconds. Work out its deceleration.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 9 cm and an area of 46.77 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/6. Work out r.
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