Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th February 1999
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
- 3Factorising Harder Quadratics3 marks
Solve 15x^2 + 28x + 5 = 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 17 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 (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
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