Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st September 2007
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 5x + 7 = y(x + 7).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 4.5 m/s over 5 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
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