Grade 11 maths problems with answers and solutions are presented.
An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.
Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0
Find all values of parameter m (a real number) so that the equation 2x2 - m x + m = 0 has no real solutions.
The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
m and n are integers so that 4m / 125 = 5n / 64. Find values for m and n.
Simplify: 3n + 4001 + 3n + 4001 + 3n + 4001
P is a polynomial such that P(x2 + 1) = - 2 x4 + 5 x2 + 6. Find P(- x2 + 3)
For what values of r would the line x + y = r be tangent to the circle x2 + y2 = 4?