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 1.2, one 10 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
- 3Completing the Square3 marks
Write x^2 + 6x - 2 in the form (x + a)^2 + b.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 100.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
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