Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd September 2010
- 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
Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Write x^2 - 16x - 4 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 9 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 14 cm by 13 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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