Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th December 2016
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
- 3Factorising Harder Quadratics3 marks
Solve 12x^2 - 23x + 5 = 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 11 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 15 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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