Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th December 2005
- 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?
- 2Bounds3 marks
x = 191 and y = 59, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Quadratic Inequalities3 marks
Solve x^2 + 6x + 8 > 0.
- 4Velocity Time Graphs3 marks
A tram runs at 20 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 3 cm by 4 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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