Download Math Treasure Hunt

Group Name:
Names of Group Members: ________________________
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Math Club Worksheet #30
Math
Treasure Hunt
Each of the following questions will lead into the next one until you reach the ultimate goal of solving the
last puzzle.
Problems: Work with your group to use your math skills to solve these problems. They are
arranged in increasing order of difficulty. Don’t worry if you can’t solve all of them immediately,
especially the bonus questions.
Puzzle A: The four digit number 3AA1 is divisible by 9. What digit does A represent?
Puzzle B: Using your answer from above (A)
In the following sequence of numbers, each number has one more 1 than the preceding
number: 1, 11, 111, 1111….
What is the tens digit of the sum of the first (A+23) numbers of the sequence?
Puzzle C: Using your answer from above (B)
A group of 12 girls scouts had enough food to last for 8 days when they arrived in camp. However,
(2*B) more scouts joined them without the amount of food being increased. How long will the food last if
each scout is given the same daily ration as originally planned?
Puzzle D: Using your answer from above (C)
In the multiplication example below, X, C, and H represent different digits. What is the sum of C,
X, and H?
CX
x 7
HXX
Puzzle E: Sudoku
Fill in the grid so that every row, every column, and every 3x3 box contains the digits 1 through
9. Find the number that goes in the box marked “KEYSTONE.
7
7
1
3
1
8
6
6
2
3
2
6
1
6
9
9
4
6
8
KEY
STONE
4
(D/15)
2
2
2
5
9
7
4
9
5
9
3
8
7
2
7
1
3
Final Puzzle: (Use all of the answers from above) The sections below belong to a four-by-four magic square.
Your job is to assemble these sections into a complete sixteen box magic square. To do so, you’ll first have to
uncover the sum of the side for this figure.