Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
- 3Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 4Velocity Time Graphs3 marks
A tram runs at 13 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 7 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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