Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th December 2020
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -1, 1, 5, 11, ...
- 4Velocity Time Graphs3 marks
A tram runs at 8 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
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