Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th March 2012
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-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.
- 3Algebraic Fractions3 marks
Write 2/(x - 4) + 7/(x - 6) as a single fraction.
- 4Velocity Time Graphs3 marks
A tram runs at 8 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 7 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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