Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd November 2016
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 16 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 18, 35, 60. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 17 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
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