Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th April 2006
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x + 10.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 28 m/s over 8 seconds. Work out the acceleration.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 4b and vector RS = 10a - 8b. What does this show about PQ and RS?
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