Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st August 2011
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A rectangle is 6 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Factorising Harder Quadratics3 marks
Solve 6x^2 - 19x + 10 = 0.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 13 m/s over 4 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
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