Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 1998
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -5, -1, 7, 19. Work out the second difference, and the coefficient of n^2.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 175.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
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