Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th February 2020
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
A car covers 660 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Transforming Graphs y=f(x)3 marks
The point (-4, -3) lies on y = f(x). Write down its image on y = f(x) + 3.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 11 m/s over 12 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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
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