Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 3x + 5 = y(x + 5).
- 4Velocity Time Graphs3 marks
A tram runs at 5 m/s for 10 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 5 cm by 5 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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