An internet service provider charges €0.7 for the first minute and then €0.5 per minute for subsequent minutes of a call. If the duration of connection is represented as x, and amount charged is represented as y, find the linear equation for this relationship.

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then find the greater of the two angles.

The area of a trapezium is 286 cm^{2} and the distance between its parallel sides is 26 cm. If one of the parallel sides is of length 13 cm, find the length of the other side.

The Ferris Wheel at the school fair has radius of 10 metres. It revolves at the rate of one revolution per 3 minutes. How many seconds does it take a rider to travel from the bottom of the wheel to a point 5 vertical metres above the bottom?

Draw a circle with its two chords ^@AB^@ and ^@CD^@ such that ^@AB^@ is not parallel to ^@CD^@. Draw the perpendicular bisector of ^@AB^@ and ^@CD^@. At what point do they intersect each other.

A cone completely made of metal (i.e. it is not hollow) has a base radius of 14 cm, and height of 7 cm. If we melt it and recast it into a sphere, what will be the radius of the sphere?

Rebecca is participating in a race. The probability that she will come first in the race is 0.15. The probability that she will come second in the race is 0.2. The probability that she will come in 3rd is 0.5, and the probability that she will be 4th is 0.15. What is the probability that she will win 2nd position or win the race?