Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th November 2024
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-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 33/sqrt(3), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 8, 17, 30, 47, ...
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 22 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 7 cm by 14 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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