Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th September 2002
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
- 3Algebraic Fractions3 marks
Write 4/(x + 4) + 2/(x - 1) as a single fraction.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 10 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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