Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st January 2008
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
- 3Rearranging Harder Formulae3 marks
Make x the subject of 4x + 5 = y(x + 5).
- 4Velocity Time Graphs3 marks
A tram runs at 11 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 5b and vector RS = 5a + 25b. What does this show about PQ and RS?
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