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 1.5, one 25 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 3Proof2 marks
In an algebraic proof, how would you write a multiple of 7 in terms of an integer n?
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 20 m/s over 10 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
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