Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th August 1998
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 197 and y = 77, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 14, 27, 44, ...
- 4Velocity Time Graphs3 marks
A tram runs at 9 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
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