Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th March 2003
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-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 18/sqrt(6), giving your answer in its simplest form.
- 3Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 12 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 = 5a - 3b and vector RS = 10a - 6b. What does this show about PQ and RS?
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