Number Puzzles

Each row begins with the number 1 at the left. When you skip counting by 2, you have the rest numbers in row 1. Skip counting by 3, gives the rest numbers in row 2, and so on. The diagram can be continued as far as desired.

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Solve a Puzzle.

Use the applet below to solve each puzzle. Organize it so it can be followed by others. Show your thinking.

  • The temperature was very cold.
  • Then the temperature doubled.
  • Then the temperature dropped by 10 degrees.
  • Then the temperature increased by 40 degrees.
  • The temperature is now 16 degrees.

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Solve a Puzzle.

Lin ran twice as far as Diego. Diego ran 300 m farther than Jada. Jada ran the distance that Noah ran. Noah ran 1200 m.

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Solve a Puzzle.

Here is a number puzzle that uses math. Some might call it a magic trick!

  1. Think of a number.
  2. Double the number.
  3. Add 9.
  4. Subtract 3.
  5. Divide by 2.
  6. Subtract the number you started with.
  7. The answer should be 3.

(1). Why does this always work?

(2). Can you think of a different number puzzle that uses math (like this one) that will always result in 5?

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In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points,

Explain your reasoning.

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Tyler reads  of a book on Monday,  of it on Tuesday,  of it on Wednesday, and  of the remainder on Thursday. If he still has 14 pages left to read on Friday,

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Clare asks Andre to play the following number puzzle:

  • Pick a number
  • Add 2
  • Multiply by 3
  • Subtract 7
  • Add your original number.

Andre’s final result is 27.