Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th November 2011
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 4x - 5.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 12 m/s over 4 seconds. Work out the acceleration.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + b and vector RS = 4a + 4b. What does this show about PQ and RS?
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