Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th December 2000
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
- 3Algebraic Fractions3 marks
Simplify (x^2 - 2x - 24)/(x + 4).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out the positive value of x when y = 96.
- 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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