Algebra and patterns

Patterns, expressions, equations and functions. Printable worksheets, puzzles, games and mini books with answer keys.

DrillGrades 1 to 2Grades 3 to 4

Missing number worksheets

Equations with one empty box, for addition, subtraction, multiplication, division or a mix.

PuzzleGrades 3 to 4Grades 5 to 6Grades 7 to 8

Calcudoku puzzles

Arithmetic Latin-square puzzles: fill the grid so every cage hits its target. Each puzzle has exactly one solution.

PuzzleGrades 1 to 2Grades 3 to 4Grades 5 to 6

Product Sudoku puzzles

A 4×4 sudoku where circles show the product of two neighboring cells. Practices factors and logic together.

PuzzleGrades 3 to 4Grades 5 to 6

Arithmagon puzzles

Triangles where each side is the product of two circles. Find the circle numbers.

PuzzleGrades 3 to 4Grades 5 to 6

Times-table circle patterns

Connect the ones digits of a times table around a circle to draw a star or polygon.

DrillGrades 7 to 8

Solve proportions

Find the missing value n in a proportion written with fractions or with colons.

DrillGrades 5 to 6Grades 7 to 8

Ratio and rate word problems

Short word problems on unit rates, equal rates, equivalent ratios and parts of a whole, each with one numeric answer.

DrillGrades 3 to 4Grades 5 to 6

Prime and composite numbers

Circle the prime or composite numbers, or tick prime or composite for each number.

DrillGrades 1 to 2Grades 3 to 4

Number patterns and sequences

Continue number patterns, fill in missing numbers, or find the rule: counting up, counting down and multiplying.

DrillGrades 1 to 2Grades 3 to 4

Function machine worksheets

Numbers go into a machine and change by a rule: find what comes out, what went in, or the rule itself.

DrillGrades 1 to 2Grades 3 to 4Grades 5 to 6

Growing shape patterns

Count the steps of a growing pattern of tiles, dots or matchsticks, then find how many are in a later step.

DrillPre-K to K

Shape and color patterns

Continue AB, AAB, ABB, ABC and AABB patterns of colored shapes by coloring or circling what comes next.

DrillGrades 5 to 6

Expressions with a variable

Evaluate expressions by replacing a letter with a number, or match a phrase to the expression it describes.

DrillGrades 7 to 8

Simplifying expressions

Combine like terms and use the distributive property to write each expression in its simplest form.

DrillGrades 5 to 6

One-step equations

Solve equations with one operation: add, subtract, multiply or divide. The solved example can show a balance scale.

DrillGrades 7 to 8

Is it a solution?

Substitute a number into an equation or inequality, find each side, and decide whether it is a solution.

DrillGrades 7 to 8

Linear rules from tables

Find the rule y = mx + b from a table: choose it from four, write m and b, or use the pattern to fill in missing values.

DrillGrades 7 to 8

Slope from a table

Find the slope of a linear function from a table of values, and optionally the value of y when x is 0.

PuzzlePre-K to KGrades 1 to 2Grades 5 to 6

Sum triangles

Triangles where each side is the sum of the two circles it joins, to fill in by adding or by working back.

PuzzleGrades 1 to 2Grades 3 to 4Grades 5 to 6

Number pyramids

Pyramids where each block is the sum of the two blocks below it, with some blocks given and the rest to work out.

PuzzlePre-K to KGrades 1 to 2

Mystery addition tables

Addition tables with the headers hidden: work out the headers, then fill in the table.

PuzzlePre-K to KGrades 1 to 2Grades 3 to 4Grades 5 to 6

Sudoku puzzles

Logic grids with no arithmetic: fill each row, column and box with every shape or number once, with one solution for each puzzle.

PuzzleGrades 7 to 8

Expression mazes

Mazes where every square is an expression and you step only on the ones equal to the target.

PuzzleGrades 7 to 8

Color by inequality pictures

Substitute a value for x and color every square whose inequality is true to reveal a picture.

PuzzleGrades 7 to 8

Pythagorean triple search

Find hidden Pythagorean triples in a grid of numbers: three in a row where the squares of two add up to the square of the third.

GameGrades 7 to 8

Make 24 cards

Use four numbers once each, with plus, minus, times, divide and brackets, to make 24 on cards that all have a solution.