Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th August 2006
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
- 3Algebraic Fractions3 marks
Write 7/(x + 2) + 7/(x + 1) as a single fraction.
- 4Velocity Time Graphs3 marks
A tram runs at 15 m/s for 10 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 7 cm by 5 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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