Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th July 2009
- 1Bounds3 marks
A block has mass 460 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 10, 17, 28. Work out the second difference, and the coefficient of n^2.
- 3Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 10 seconds. Work out its deceleration.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 13 cm and an area of 27.58 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
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