Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th September 2020
- 1Bounds3 marks
x = 33 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 18, 38, 66. Work out the second difference, and the coefficient of n^2.
- 3Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 4 seconds. Work out its deceleration.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 16 cm and an area of 55.43 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
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