Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th April 2019
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -1, 5, 17, 35, ...
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 19 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 7 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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