# Đề thi APMOPS năm 2012

**Posted:**October 31, 2012

**Filed under:**APMOPS |

**Tags:**APMOPS2012 problems Leave a comment

1) Find the value of

2) is a parallelogram. are the midpoints of the 4 sides of the parallelogram. If the area of the shaded region (the parallelogram in the middle) is cm, find the area of the parallelogram .

3) Jane added up the digits of the whole number and obtained a new number . She then added up all the digits of and obtained another number . She continued doing this until she obtained a single digit number. Find the value of this number.

4) The product of 4 consecutive whole numbers is $latex5040$. Find the value of the smallest number.

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