Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th October 2025
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-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 49/sqrt(7), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 16, 35, 62. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 20 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 8 cm by 11 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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