Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd January 2025
- 1Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 17 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 7 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4Conditional Probability3 marks
A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 5Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
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