Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th September 2000
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 18 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 7x + 5 = y(x + 5).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 24 m/s over 4 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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
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