Apps. and Interpretation for IBDP Maths Ebook 1 | Page 58

Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 15
1. The Division 1 Football League in Japan has 30 matches for every participating team.
The champion of the League last year is undefeated for all 30 matches. Let x and y be
the number of wins and draws of the champion team respectively.
(a) Write down an equation in x and y .
[1]
A team gets 3 points for a win and 1 point for a draw. The champion team got 82 points
last year.
(b) Write down another equation in x and y .
(c) Write down the values of x and y .
(d)
[2]
Find the total points of an undefeated team if the number of wins and the number
of draws are the same.
[2]
2. The length, L cm , of a heated copper plate is given by L �a � bT , where
temperature measured. At
o
190 C , the length of the copper plate is 8.25 cm.
T o C is the
[1]
(a) Write down an equation in a and b .
At
o
220 C, the length of the copper plate is 9.21 cm.
[1]
(b) Write down another equation in a and b .
(c) Write down the values of a and b .
(d) Find the temperature of the copper plate when its length is 98.5 mm.
[1]
[2]
[2]
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