Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th November 2023
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x - 9.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 17 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 15 cm by 8 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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