Question

3B. A 2 × 3 rectangle is partitioned into 6 congruent numbered squares as shown. A single 1 × 2 rectangle is placed to cover exactly 2 of the numbered squares. The covered numbers are then added together. How many different sums can result?, please

Answer 1

4

Explanation:

If the rectangle covers 2 squares at a time ; sum of each covered square would be :

1 + 2 = 3

2 +3 = 5

3 + 6 = 9

6 + 5 = 11

5 + 4 = 9

4 + 1 = 5

The sums are :

3, 5, 9, 11, 9.5

The different sums are :

3, 5, 9, 11

Hence, the number of different sums is 4