Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 20, 37, 60. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 16 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 7 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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