Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(8) + sqrt(18), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 4x - 7.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 7 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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