Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th August 1999
- 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 820 g (to the nearest 10 g) and volume 21 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 2x + 3 = y(x + 3).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 23 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 6b and vector RS = 12a - 24b. What does this show about PQ and RS?
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