Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th February 2002
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
- 3Rearranging Harder Formulae3 marks
Make x the subject of 5x + 6 = y(x + 6).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 66 m/s over 20 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
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