Mystery Integers Answer Key

This worksheet turns integer comparison into a clue-solving activity. Instead of simply asking students whether one number is greater than another, each problem gives a short description such as “I am greater than -5 and less than -3” or “I am positive, greater than 6, and less than 8.” Students have to think about all of the clues at once and identify the one integer that fits. That makes the worksheet especially valuable because it combines comparing integers, understanding positive and negative values, reading inequalities in words, and reasoning within a range. It is a strong fit for grades 6-7 students who understand basic integer order and are ready to use that knowledge more thoughtfully.

For a parent, the easiest way to explain these problems is to imagine a number line and ask, “What numbers live between these two values?” If the clue says a number is greater than -5 but less than -3, the integer between them is -4. If the clue says the number is positive, greater than 6, and less than 8, the answer is 7. The child does not need to memorize a new rule-they just need to understand where the possible numbers sit.

Learning Goals

• Interpret Integer Clues: Students translate phrases like greater than, less than, positive, and negative into number-line positions.
• Find Integers in a Range: Learners identify the value that fits between two boundaries.
• Use Sign Information Carefully: Students combine location clues with positive or negative restrictions.
• Strengthen Inequality Thinking: The activity prepares students for symbolic inequalities later.
• Build Logical Reasoning: Learners must satisfy every clue, not just one part of the statement.

Parent-Friendly Teaching Tips

A good routine is:

1. Underline the lower boundary.
2. Underline the upper boundary.
3. Look at the sign clue.
4. Ask which integer fits all the conditions.

For example:

Greater than -13 and less than -11

Only -12 fits.

If the problem also says “negative,” that confirms the choice.

Why This Worksheet Helps

• Feels Like a Math Riddle: Students solve clues rather than completing repetitive comparisons.
• Builds Careful Reading: One missed word can change the answer, so students learn to slow down.
• Strengthens Range Sense: Learners understand that integers can be described by where they fall between boundaries.
• Prepares for Algebra: Phrases like greater than and less than are the language of inequalities.
• Encourages Discussion: Students can explain why a number works and why nearby numbers do not.

This worksheet helps students move from basic comparison into true integer reasoning. Positive numbers, negative numbers, ranges, inequalities, and number-line position all work together in each mystery. For parents, the best question is: “What values are allowed, and which one fits every clue?” In classroom and homeschool settings, this activity gives students a fun and useful way to strengthen the thinking skills behind inequalities.