Exercise 6.2

Exercise 6.2

1) In the following magic triangle, arrange the numbers from 1 to 6, so that you get the same sum on all its sides.

Solution: 

2) Using the numbers from 1 to 9

(i) Can you form a magic triangle?  Answer: Yes

(ii) How many magic triangles can be formed? Answer: Five

(iii) What are the sums of the sides of the magic triangle? Answer: 17, 19, 20, 21, 23

3) Arrange the odd numbers from 1 to 17 without repetition to get a sum of 30 on each side of the magic triangle.

Solution: 

4) Put the numbers 1, 2, 3, 4, 5, 6, & 7 in the circles so that each straight line of three numbers add up to the same total.

Solution: 

5) Place the number 1 to 12 in the 12 circles so that the sum of the numbers in each of the six lines of the star is 26. Use each number from 1 to 12 exactly once. Find more possible ways?

Solution: 

Answers:

Exercise 6.2

(1) One of the answers is,

(2) (i) Yes (ii) 5 (iii) 17, 19, 20, 21, 23

(3) 

(4) 

(5) There are many other possible ways.