Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Algebraic Fractions3 marks
Write 6/(x + 3) + 4/(x + 1) as a single fraction.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 252.
- 3Perpendicular 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.
- 4Conditional Probability3 marks
A bag holds 7 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
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