Asymm2dd up these 3 equations. What do you notice?

 

Find the values of x, y and z.

Now add up all 5 equations given below. What do you notice?

b + c + d + e = 4
a + c + d + e = 5
a + b + d + e = 1
a + b + c + e = 2
a + b + c + d = 0

Use the pattern you see in these equations to find the values of a, b, c , d and e.

Click here to download the SYMMETRICALITY worksheet

Click here for Notes for Teachers.

This problem is adapted from the NRICH task with the same name with permission of the University of Cambridge. All rights reserved.

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