Multiple Patterns
About This Worksheet
Multiple Patterns is a fifth grade activity that helps students recognize how multiples grow in repeated patterns. Each row gives the beginning of a sequence, such as multiples of 3, 4, 5, 6, 8, 9, 10, or 12, with several numbers missing. Students complete the first eight multiples and then use the finished rows to answer pattern questions about numbers that are multiples of two different values. This connects skip counting with common multiples.
Curriculum and Grade Alignment
This worksheet is intended for fifth grade learners who are developing fluency with multiples and preparing for least common multiple work. The main goal is to help students generate multiples accurately and notice when two sequences share the same values. Before beginning, your child should be comfortable with basic multiplication facts and skip counting. The next step is identifying least common multiples and using common multiples with fractions. This activity supports multiplication patterns, number sequences, and common-multiple reasoning.
Student Tasks
Students will complete eight rows of multiples for 3, 4, 5, 6, 8, 9, 10, and 12. Each row contains missing values that students fill in to complete the first eight multiples. At the bottom, they answer three pattern challenges by finding numbers that are multiples of both 3 and 6, both 4 and 8, and both 5 and 10. This builds the bridge from simple sequences to shared multiples.
Common Challenges and Misconceptions
Some students may confuse a multiple with a factor and write numbers that divide the target instead of numbers produced by multiplying it. Others may lose the pattern after a missing value. A child may also pick a number that belongs to only one of the two sequences in the pattern challenge. Encourage your child to think of multiples as the answers in a multiplication table: 3, 6, 9, 12, and so on.
Implementation Guidance
Teachers can use this worksheet as review before teaching LCM. Parents can encourage the child to whisper-count by the target number while completing each row. For the pattern challenge, have the child compare the completed lists and circle values that appear in both. This makes common multiples easy to see.
Details and Features
This worksheet includes eight blue-bordered multiple sequences and three pattern questions at the bottom. Students work with multiples of 3 through 12 and identify shared values between two sequences. The printable supports skip counting, multiplication fluency, common multiples, and pattern recognition.