Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th February 2004
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 17 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 7 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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