Maths Olympiad Prep

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CEMC Cayley, 2026

Algebra Difficulty 1.1 Junior Find the answer Canada

In the diagram, the number line between 00 and 66 is divided into 1212 equal parts. The numbers MM and NN are marked on the line.

Figure 0

The value of N−MN-M is

Pick one

Solution

Since the number line between 00 and 66 is divided into 1212 equal pieces, then each piece has
length 612=0.5\dfrac{6}{12}=0.5.

The location of MM is 22 such pieces right of 00, and so the value of MM is 2×0.5=1.02\times0.5=1.0.

The location of NN is 33 such pieces left of 66, and so the value of NN is 6−(3×0.5)=4.56-(3\times0.5)=4.5.

The value of N−M=4.5−1.0=3.5N-M=4.5-1.0=3.5.

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