Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th December 2010
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
- 3Quadratic Inequalities3 marks
Solve x^2 - 9x + 18 > 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 23 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 10 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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