Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th April 2004
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-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(2))(2 - sqrt(2)).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x + 4.
- 4Velocity Time Graphs3 marks
A tram runs at 6 m/s for 20 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 13 cm by 15 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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