Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 15 m/s over 20 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
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