Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th December 2017
- 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
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 17, 32, 51. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 25 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 4 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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