Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th January 2018
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
- 3Algebraic Fractions3 marks
Write 4/(x - 2) + 2/(x + 2) as a single fraction.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 96.
- 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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