Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th December 2015
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
- 3Transforming Graphs y=f(x)3 marks
The point (3, 1) lies on y = f(x). Write down its image on y = -f(x).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 5 m/s over 4 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
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