Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th April 2015
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
A block has mass 280 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 3x + 8 = y(x + 8).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 14 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 14 cm by 12 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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