Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th February 2019
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 14 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Algebraic Fractions3 marks
Simplify (x^2 + 2x - 15)/(x - 3).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 14 m/s over 10 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 (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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