Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th December 2007
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(27) + sqrt(75), giving your answer in the form a sqrt(b).
- 3Algebraic Fractions3 marks
Simplify (x^2 - x)/(x - 1).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 19 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 (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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