Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th August 2008
- 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?
- 2Bounds3 marks
A block has mass 370 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Factorising Harder Quadratics3 marks
Solve 8x^2 + 2x - 3 = 0.
- 4Velocity Time Graphs3 marks
A tram runs at 18 m/s for 10 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 10 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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