Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 3Completing the Square3 marks
Write x^2 + 14x - 13 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A tram runs at 20 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 8 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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