Question

Where is the treasure?

A treasure is hidden under a number on the hundreds chart.

Use the clues to shade the other 99 numbers. The number

that is left unshaded holds the treasure.

• Shade the numbers in the patterns described below.

A. Start at 3. The rule is: Subtract 2, and then add 5.

B. Start at 2. The rule is: Add 6.

C. Start at 5. The rule is: Add 12.

D. Start at 83. The rule is: Subtract 12.

E. Start at 1. The rule is: Add 3.

Answer 1

The treasure is hidden under 95.

Explanation:

The numbers are:

`1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\\21, 22, 23, 24, 25,26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40\\41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60\\61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80\\81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99,100`

Clue A:Start at 3. The rule is: Subtract 2, and then add 5.

3-2+5=6

6-2+5=9

Therefore, this rule eliminates all multiples of 3.

`1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20\\22, 23, 25,26, 28, 29, 31, 32, 34, 35, 37, 38, 40\\41, 43, 44, 46, 47, 49, 50, 52, 53, 55, 56, 58, 59, \\61, 62, 64, 65, 67, 68, 70, 71, 73, 74, 76, 77, 79, 80\\82, 83, 85, 86, 88, 89, 91, 92, 94, 95, 97, 98, 100`

Clue B:Start at 2. The rule is: Add 6.

The numbers are:2,8,14,...

We have left:

`1, 4, 5, 7, 10, 11, 13, 16, 17, 19, \\22, 23, 25, 28, 29, 31, 34, 35, 37, 40\\41, 43, 46, 47, 49, 52, 53, 55, 58, 59, \\61, 64, 65, 67, 70, 71, 73, 76, 77, 79, \\82, 83, 85, 88, 89, 91, 94, 95, 97, 100`

Clue C: Start at 5. The rule is: Add 12.

The numbers are: 5,17,29,...

We have left:

`1, 4, 7, 10, 11, 13, 16, 19, \\22, 23, 25, 28, 31, 34, 35, 37, 40\\ 43, 46, 47, 49, 52, 55, 58, 59, \\61, 64, 67, 70, 71, 73, 76, 79, \\82, 83, 85, 88, 91, 94, 95, 97, 100`

Clue D: Start at 83. The rule is: Subtract 12.

The numbers are 83,71,59,...

We have left:

`1, 4, 7, 10, 13, 16, 19, \\22, 25, 28, 31, 34, 37, 40\\ 43, 46, 49, 52, 55, 58, \\61, 64, 67, 70, 73, 76, 79, \\82, 85, 88, 91, 94, 95, 97, 100`

Clue E: Start at 1. The rule is: Add 3.

The numbers are 1,4,7,...

We are left with:

`95`

The treasure is hidden under 95.