Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th July 2014
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 22 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Transforming Graphs y=f(x)3 marks
The point (-1, -2) lies on y = f(x). Write down its image on y = f(x) + 4.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 13 m/s over 8 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 (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
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