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Grade 5 Number Patterns & Rules Worksheet with Answers

Grade 5 (US) · Year 6 (UK) · Class 5 (India) · Math

Unit 3: Expressions & PatternsPatternsCCSS 5.OA.B.3

Finding the rule in a number pattern and using it to predict later terms. This free upper elementary worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Number Patterns & Rules

Grade 5 · Math

Score___ / 12

Name

Class

Date

Learning goal: Patterns · CCSS 5.OA.B.3

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

What is the rule? 12, 23, 34, 45, ...

Answer: add 11

RememberNumber patterns

3+47+411+415+419Find the rule: what happens each time?Rule: start at 3, add 4.Check the rule works for every step.
  1. 1

    Pattern A starts at 0 and adds 4. Pattern B starts at 0 and adds 8. What is the 5th term of each pattern? (the first term is 0)

    Show your work
    Answer
  2. 2

    What is the rule? 1, 3, 9, 27, ...

    Answer
  3. 3

    Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 6. What is the 4th term of each pattern? (the first term is 0)

    Show your work
    Answer
  4. 4

    Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 9. What is the 6th term of each pattern? (the first term is 0)

    Show your work
    Answer
  5. 5

    Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 9. What is the 4th term of each pattern? (the first term is 0)

    Show your work
    Answer
  6. 6

    Pattern A starts at 0 and adds 4. Pattern B starts at 0 and adds 8. What is the 4th term of each pattern? (the first term is 0)

    Show your work
    Answer
  7. 7

    Pattern A starts at 0 and adds 4. Pattern B starts at 0 and adds 8. What is the 6th term of each pattern? (the first term is 0)

    Show your work
    Answer
  8. 8

    Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 6. What is the 5th term of each pattern? (the first term is 0)

    Show your work
    Answer
  9. 9

    Pattern A starts at 0 and adds 5. Pattern B starts at 0 and adds 15. What is the 5th term of each pattern? (the first term is 0)

    Show your work
    Answer
  10. 10

    Pattern A starts at 0 and adds 5. Pattern B starts at 0 and adds 15. What is the 4th term of each pattern? (the first term is 0)

    Show your work
    Answer
  11. 11

    Pattern A starts at 0 and adds 1. Pattern B starts at 0 and adds 2. What is the 6th term of each pattern? (the first term is 0)

    Show your work
    Answer
  12. 12

    Pattern A starts at 0 and adds 2. Pattern B starts at 0 and adds 6. What is the 5th term of each pattern? (the first term is 0)

    Show your work
    Answer

★ Challenge corner for fast finishers

In this magic square every row, column and diagonal adds up to 90. Row 1: 45, 10, 35 | Row 2: ____, 30, 40 | Row 3: 25, 50, 15. What is the missing number?

4510353040255015

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/5/number_patterns

Answer key (click to show)
  1. 1.A: 16, B: 32
  2. 2.multiply by 3
  3. 3.A: 9, B: 18
  4. 4.A: 15, B: 45
  5. 5.A: 9, B: 27
  6. 6.A: 12, B: 24
  7. 7.A: 20, B: 40
  8. 8.A: 12, B: 24
  9. 9.A: 20, B: 60
  10. 10.A: 15, B: 45
  11. 11.A: 5, B: 10
  12. 12.A: 8, B: 24
  13. ★20 (challenge corner)

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How to use this worksheet

  • Use it as a 10–15 minute warm-up or homework task rather than a long drill.
  • Ask students to show their working so you can see where a mistake started, not just that it happened.
  • Mark it with the answer key together, then print a fresh version of the same topic to practise the questions they missed.

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Guides for teaching Number Patterns & Rules

Long Division Step by Step: An Easy Method (With Remainders)Divide, multiply, subtract, bring down — the four-step routine that makes long division manageable, with worked examples, remainders, zeros and two-digit divisors.Order of Operations (PEMDAS / BODMAS): Rules, Examples and Common MistakesWhy multiplication doesn't always come before division, how exponents and negatives trip students up, and worked examples you can check.Adding and Subtracting Fractions: A Step-by-Step Guide for Grades 5–6Like and unlike denominators, mixed numbers, and the three mistakes that cause most wrong answers — with worked examples.

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