Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th June 2011
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 23, 47, 79, ...
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 12 m/s over 8 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 = 4a + 2b and vector RS = 16a + 8b. What does this show about PQ and RS?
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