Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 9, 25, 49, 81, ...
- 4Velocity Time Graphs3 marks
A tram runs at 14 m/s for 30 s, then slows steadily to rest over 4 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 (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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