Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x - 6.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 21 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 (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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