Practice Simple Patterns in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A repeating pattern is a sequence of elements (colors, shapes, numbers, or sounds) that repeats in a predictable cycle.

Patterns are like the beat of a song—clap-snap-clap-snap repeats over and over. Once you hear the rhythm, you can predict what comes next without looking.

Showing a random 20 of 64 problems.

Example 1

easy
What is the rule for this pattern: 20,30,40,5020, 30, 40, 50?

Example 2

medium
A pattern repeats every 44 shapes: star, moon, sun, cloud. What is the 10th shape?

Example 3

medium
A growing pattern adds 11 more dot each figure than the time before: 1, 2, 4, 7, 11, ___. What is the next number?

Example 4

easy
Find the next two terms: circle, circle, square, circle, circle, square, ___, ___.

Example 5

medium
Look at the train: big, small, big, small, ___. What car is next?

Example 6

easy
What comes next? cat, dog, cat, dog, cat, ___.

Example 7

challenge
A pattern repeats every 55 beads: red, red, blue, green, green. In the first 2323 beads, how many are green?

Example 8

medium
Find the missing numbers: 5, 10, ___, 20, ___, 30.

Example 9

easy
Which is an AB pattern: (a) X O X O, or (b) X X O X X O?

Example 10

easy
Look at the pattern: red, blue, red, blue, red, ___. What color is next?

Example 11

easy
Look at the pattern: circle, square, circle, square, circle, ___. What shape comes next?

Example 12

easy
A pattern goes red, blue, red, blue, red, ___. What color is next?

Example 13

medium
A pattern is square, circle, square, square, circle, square, square, circle, square. What pattern core repeats?

Example 14

easy
A piggy bank holds 10,20,30,4010, 20, 30, 40 cents on the first four days. How many cents will it hold on day 55?

Example 15

challenge
Pattern A repeats every 22 (X, O) and pattern B repeats every 33 (1, 2, 3) side by side. At what position do X and 1 first line up again together after position 1?

Example 16

easy
What is the repeating core of: A, A, B, A, A, B, A, A, B?

Example 17

easy
A column on a 100-chart shows 7, 17, 27, ___, 47. Fill in the blank.

Example 18

medium
What number comes next: 0, 5, 10, 15, 20, 25, ___?

Example 19

easy
Find the next two numbers: 2, 4, 6, 8, ___, ___.

Example 20

medium
Continue the pattern: 2, 4, 6, 8, 10, ___, ___, ___.