Number Sequence Puzzle - Find the Missing Number

💡Tips for Parents

▸ Why It Matters Finding the rule behind a number sequence — spotting that each term adds a fixed amount, multiplies by a fixed amount, or repeats a pattern — is one of the most direct bridges between comfortable arithmetic and the abstract pattern-thinking that algebra runs on. When your child later sees something like "n, n+3, n+6..." written with letters instead of blanks, the underlying skill is identical to what's happening here: noticing a consistent relationship between terms and using it to predict what comes next. Treating this worksheet as early algebra rather than just a number game helps your child see the throughline between what feels like a simple puzzle now and formal math years down the road. ▸ Getting Started Teach your child to write the difference between each pair of consecutive numbers in the sequence, right on the page, as a small number between the given terms. If every difference comes out the same, that's an addition or subtraction rule. If the differences aren't equal, have them try dividing each number by the one before it instead, looking for a consistent ratio — that points to a multiplication rule. The key habit to build is checking a candidate rule against every single number given, not just the first pair. A rule that works for the first two numbers but breaks on the third isn't the real rule, and catching that early saves a wrong answer. ▸ If They Get Stuck If your child locks onto a rule too quickly and it doesn't hold up, walk back through the sequence together, number by number, restating what the rule predicts each time and comparing it to what's actually written. This slows down the impulse to guess after seeing just one or two terms. If they're stuck without finding any rule at all, suggest they try the simplest options first — same difference, same ratio, exact repetition — before assuming something more complicated is going on; most sequences at this level use one of those three patterns. ▸ Praise Points Praise the habit of verifying a rule against all the numbers, not just guessing and hoping: "You didn't just guess after two numbers — you checked your rule against every single one before writing your answer. That's exactly how mathematicians actually work." Since this is the first worksheet in the number sequence series, it's worth naming the bigger skill being built: "Finding this hidden rule is the same kind of thinking you'll use in algebra someday — you're already doing it."

🎯What This Worksheet Builds

This worksheet builds the core skill of finding a numeric rule — addition, subtraction, multiplication, or simple repetition — inside a sequence and using it to predict a missing number, an early bridge to algebraic thinking.

👉Next Step

Once your child spots single-operation rules quickly, move on to Number Sequence Puzzle 2, where sequences combine two operations (like alternating addition and multiplication) or count downward instead of up.