Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd July 2024
- 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 (8 + sqrt(11))(8 - sqrt(11)).
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A tram runs at 18 m/s for 10 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 (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
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