Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th January 2025
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
- 3Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
- 4Velocity Time Graphs3 marks
A tram runs at 6 m/s for 10 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 3 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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