Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th November 2020
- 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?
- 2Bounds3 marks
x = 46 and y = 29, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 26 m/s over 4 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 5 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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