Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th April 2018
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A car covers 770 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x + 4.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 11 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 9 cm by 8 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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