Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th November 1997
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 46 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Algebraic Fractions3 marks
Simplify (x^2 - 9)/(x - 3).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 13 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 8 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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