Mathematics
Junior Kangaroo
2023
1

1

Which single digit should be placed in all three of the boxes shown to give a correct calculation?

‍

A. 3

B. 4

C. 5

D. 6

E. 8

Answer

C. 5

SOLUTIOn

Since six goals were scored in the first half and the away side was leading at half-time, thepossible half-time scores were 0 - 6, 1 - 5, and 2 - 4. However, we are also told that the hometeam scored three goals in the second half and won the game. Hence the home team cannothave been more than two goals behind at half-time. Therefore the score at half-time was 2 - 4.Hence the number of goals the home team scored in total was 2 + 3 = 5.

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