1. 
For what values of 'k' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 not have a unique solution?



2. 
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?



3. 
Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?



4. 
How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?



5. 
The average weight of a group of 30 friends increases by 1 kg when the weight of their football coach was added. If average weight of the group after including the weight of the football coach is 31kgs, what is the weight of their football coach in kgs?




