Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 23 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A tram runs at 5 m/s for 30 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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