**B.1281. ****In the following addition the same letters mean the same
digit, and different letters mean different digits. What are the values of the
different letters?**

**AAA + BBB + CCC = BAAC**

**B.1282.**** Kate created a 3×3 grid. She wrote positive whole numbers
in its fields so that if you pick three numbers from the grid, so that no two
are in the same column or row, then the product of these three numbers will
always be the same. How many different ways can you fill in the blank fields?**

**B.1283.**** Fill in the blanks of the following grid, using the
digits 1, 2, 3, and 4, so that each column and each row would have one of each
of these digits.**

**B.1284.**** Thelma has eight 1x1x1 cubes that are painted white on
all sides. Pete told her that he could paint just two 1×1 sides blue so that
she could not make an all-white 2x2x2 cube using these cubes anymore. Is Pete
telling the truth? If yes, what sides should he paint blue?**

**B.1285.**** There are 8 points on the circumference of a circle so
that any two neighboring points are at the same distance. How many different
shape triangles can you draw whose vertices are 3 of these 8 points?**

**B.1286.**** My calculator shows the different digits by lighting up
its square-shaped “points” in the following way:**

**For example: 19 points are lit up for the digit zero, and
21 points are lit up for the number 17. Find a 2-digit number that needs just
as many “points” to be lit up as the number itself when shown on my calculator.**

**B.1287.**** Andrew, Ben and Cole are playing with a pile of pennies
by the following rules: if the number of pennies in the pile is even then
Andrew gets half of the pennies; if the number of pennies in the pile is odd,
then Cole gets a penny and Ben gets half of the rest of the pennies in the
pile. They continue playing this game until they run out of pennies in the
pile. **

**a) How many
pennies do each player get if they start with a pile of 2020 pennies?**

**b) How many pennies
did they start with (between 2000 and 3000) if Cole got only 1 penny in the
entire game?**

**B.1288.**** Using the least amount of parentheses possible in the
following expression, get 6 as a result of the operations.**

**1 : 2 : 3 :
4 **

**( : means division)**

**Please send your solutions here.**

The **Sharma Kamala Educational Trust** is sponsoring the participation of students from India. So, if you are **a student living in India**, please, send your solutions to: Group B from India