Free math worksheets

Write and solve these multiplication facts. In each fact, the same number is used twice. a) \(1\times1\) b) \(2\times2\) c) \(5\times5\) d) \(10\times10\)

For each product, write a multiplication fact that uses the same number twice. \(16, 36, 49, 64, 81\)

Find these 6s facts. a) \(1\times6\) b) \(2\times6\) c) \(5\times6\) d) \(10\times6\)

Complete the multiplication facts. a) \(8 \times 1 = \square\) b) \(1 \times 6 = \square\) c) \(9 \times 0 = \square\) d) \(0 \times 4 = \square\) What happens when you multiply a number by \(1\)? What happens when you multiply a number by \(0\)?

Complete each multiplication fact. a) \(5 \times 0 = \square\) b) \(0 \times 3 = \square\) c) \(1 \times 8 = \square\) d) \(4 \times 1 = \square\) What rule do parts a and b show about multiplying by \(0\)?

Match each product to the multiplication fact that uses the same number twice. Products: \(64\), \(36\), \(100\), \(49\) Facts: \(10\times10\), \(7\times7\), \(8\times8\), \(6\times6\)

The numbers are \(8, 11, 16, 19, 20, 25, 28, 31, 36, 40\). Write all the numbers that are products in the 4s facts.

Work out both sides, then write \(<\), \(>\), or \(=\). a) \(0 \times 6\;\square\;0 + 6\) b) \(4 \times 0 + 2\;\square\;2 \times 0 + 4\) c) \(0 \times 8 + 8\;\square\;8 \times 1 + 0\) d) \(9 \times 0\;\square\;0 \times 7\)

Find each product. a) \(3 \times 7\) b) \(8 \times 4\) c) \(6 \times 9\) d) \(2 \times 8\) e) \(5 \times 6\) f) \(7 \times 7\)

Facts with \(1\), \(2\), \(5\), and \(10\) are often easy to use. a) Find \(1\times8\), \(2\times8\), \(5\times8\), and \(10\times8\). b) Use \(5\times8\) and \(1\times8\) to find \(6\times8\). Show your equation. c) Use \(2\times8\) to find \(4\times8\). Show how you doubled.

What number makes each multiplication fact true? a) \(7 \times \square = 35\) b) \(\square \times 9 = 18\) c) \(\square \times \square = 49\) In part c, the same number goes in both boxes.

Lucas wants to find \(7\times8\). He knows \(5\times8\) and \(2\times8\). Show how he can use those two facts to find \(7\times8\).

For each product, write a multiplication fact. Use \(2\), \(5\), or \(10\) as one factor. Use a number from \(1\) through \(10\) as the other factor. a) \(14\) b) \(45\) c) \(80\) d) \(30\) e) \(25\)

Use \(5\times9\) and \(1\times9\) to find \(6\times9\). Show your steps.

Complete the multiplication table. <table> <tr> <td>\(\times\)</td> <td>\(2\)</td> <td>\(5\)</td> <td>\(10\)</td> </tr> <tr> <td>\(4\)</td> <td></td> <td></td> <td></td> </tr> <tr> <td>\(7\)</td> <td></td> <td></td> <td></td> </tr> </table>

Compare the products. Write \(<\), \(>\), or \(=\) in each blank. a) \(6 \times 7 \; \square \; 5 \times 8\) b) \(4 \times 9 \; \square \; 6 \times 6\) c) \(3 \times 9 \; \square \; 4 \times 7\) d) \(8 \times 7 \; \square \; 9 \times 6\)

Compare the 3s facts \(3, 6, 9, \ldots\) with the 6s facts \(6, 12, 18, \ldots\). Find three different pairs of facts that have the same product. Write each pair in this form: \((\square) \times 3 = \square\) \((\square) \times 6 = \square\)

Maya uses the 10s facts to solve 9s facts. She explains, “To find \(9 \times 7\), I first find \(10 \times 7\) and then subtract \(1 \times 7\).” Use Maya’s strategy and show your work. a) \(9 \times 4\) b) \(9 \times 8\) c) \(9 \times 6\)

Use the given fact to find each new fact. Show the step that connects the two facts. a) You know \(10\times4=40\). Use half of \(40\) to find \(5\times4\). b) You know \(8\times3=24\). Use half of \(24\) to find \(4\times3\). c) You know \(5\times7=35\). Add one more group of \(7\) to find \(6\times7\).

Use multiplication facts that have the same number twice. a) Which one has a product greater than \(10\) and less than \(20\)? b) Which two have products greater than \(30\) and less than \(50\)? Write each fact and its product.

Use each \(10\)s fact to find the related \(9\)s fact. For each part, write the \(10\)s fact, the subtraction, and the \(9\)s fact. a) Find \(9\times5\) from \(10\times5\). b) Find \(9\times9\) from \(10\times9\). c) Find \(9\times4\) from \(10\times4\).

Use an easier fact to find each product. Show the fact you used and how you changed it. a) \(6\times4\) b) \(9\times7\) c) \(3\times8\)

Choose \(0\) or \(1\) to make each equation true. a) \(6 \times \square = 6\) b) \(9 \times \square = 0\) c) \(\square \times 7 = 0\) d) \(\square \times 8 = 8\) e) \(10 \times \square = 0\)

Complete the table. <table> <tr><th>Number \(n\)</th><th>\(n \times 1\)</th><th>\(n \times 0\)</th></tr> <tr><td>\(5\)</td><td>...</td><td>...</td></tr> <tr><td>\(8\)</td><td>...</td><td>\(0\)</td></tr> <tr><td>...</td><td>\(6\)</td><td>...</td></tr> <tr><td>\(0\)</td><td>...</td><td>...</td></tr> </table>

The numbers \(12\), \(18\), \(30\), and \(42\) are all products in the same times table. Which times table is it? Write the matching multiplication fact for each number.

Find each number. a) The number is twice \(9\). b) \(\square \div 5=8\) c) The number is \(7\times7\).

Use each given fact to find the new fact by doubling or halving the product. Show how the product changes. a) \(3\times7=21\). Find \(6\times7\). b) \(10\times4=40\). Find \(5\times4\). c) \(4\times8=32\). Find \(8\times8\). d) \(8\times6=48\). Find \(4\times6\).

Break apart the second factor. Fill in the missing number, find both smaller products, and then find the whole product. a) \(6\times7=(6\times5)+(6\times\square)\) b) \(6\times8=(6\times4)+(6\times\square)\) c) \(6\times9=(6\times5)+(6\times\square)\) d) \(6\times4=(6\times2)+(6\times\square)\)

Use the example to solve each multiplication fact. Break apart the second factor so that one part is \(5\). Example: \(8 \times 7 = 8 \times 5 + 8 \times 2 = 40 + 16 = 56\) a) \(8 \times 6\) b) \(8 \times 8\) c) \(8 \times 9\)

Use the example to solve each multiplication fact. Break apart the second factor into two addends. \(9 \times 5 = (9 \times 3) + (9 \times 2) = 27 + 18 = 45\) a) \(9 \times 4\) b) \(9 \times 7\) c) \(9 \times 8\)

Combine the two smaller products as shown in the example. Example: \((5 \times 4) + (5 \times 2) = 5 \times (4 + 2) = 5 \times 6 = 30\) a) \((4 \times 3) + (4 \times 5) = 4 \times \square = \square\) b) \((7 \times 2) + (7 \times 6) = 7 \times \square = \square\) c) \((3 \times 8) + (3 \times 2) = 3 \times \square = \square\) d) \((6 \times 4) + (6 \times 4) = 6 \times \square = \square\)

Fill in the missing number in each line. Then find the two smaller products and the whole product. a) \((8\times3)+(8\times4)=8\times\square\) b) \((5\times7)+(5\times\square)=5\times9\) c) \((9\times6)+(9\times4)=9\times\square\) d) \((2\times\square)+(2\times3)=2\times8\)

You know \(8\times4=32\). Use that fact to complete each line. a) Turn the fact around: \(\square\times\square=32\) b) Add one more group of \(4\): \(9\times4=32+\square=\square\) c) Take away one group of \(8\): \(8\times3=32-\square=\square\)

Find each value. First combine the smaller products into one multiplication fact. Example: \((6\times4)+(6\times2)=6\times6=36\) a) \((8\times3)+(8\times7)\) b) \((5\times9)-(5\times4)\) c) \((4\times2)+(4\times2)+(4\times2)\) d) \((9\times10)-(9\times1)\)

Mia uses multiplication facts with \(5\) and \(2\) to find facts with \(7\). Show how she can solve each problem. a) \(7 \times 4\) b) \(7 \times 7\) c) \(7 \times 9\) Write your work as in this example: \(7 \times 3 = (5 \times 3) + (2 \times 3) = 15 + 6 = 21\)

Rewrite each expression as one multiplication fact before finding its value. a) \(4\times9+6\times9\) b) \(8\times7-3\times7\) c) \(5\times8+5\times2\) d) \(10\times6-2\times6\)

The numbers in each group all belong to the same times table. Which times table is it? a) \(14,21,35,49\) b) \(16,24,40,64\) c) \(18,27,45,81\)

Each grid is split into two smaller rectangles. For each grid: 1. Write a multiplication fact for each smaller rectangle. 2. Add the two products. 3. Write the multiplication fact for the whole grid.

You know that \(6 \times 8 = 48\). Use that fact to find each product without starting over. Explain briefly. a) \(8 \times 6\) b) \(7 \times 8\)

Answer each multiplication question. a) In \(9\times4=36\), what are \(9\) and \(4\) called? What is \(36\) called? b) Which is greater: \(8\times7\) or \(9\times6\)? Show your work. c) A multiplication fact has a product of \(72\). One factor is \(8\). What is the other factor?

Complete this product wall. Each brick is the product of the two bricks directly below it.

A horizontal boundary divides the dot array into two equal halves. Write two different equations that show the halving.

The grid is split into two rectangles. Write an equation that shows the product of each smaller rectangle and adds them to find the whole grid.

Maya knows \(7 \times 7=49\) but does not know \(7 \times 8\). Use the array to explain how the unknown fact can be built from the first \(7\) columns and the added eighth column.

Use the array. A second array, not shown, has twice as many rows as the array and the same number of dots in each row. a) Write a multiplication equation for the array. b) Use the product from part a to find the number of dots in the second array. Show a doubling equation using that product. c) Explain why doubling the number of rows doubles the total number of dots.

The array shows this spring's lettuce plants. Next spring, one more row with the same number of plants will be added. a) Write the multiplication fact shown by the array. b) Add one more row to find next spring's total. c) Write the new multiplication fact.

In the square array shown, every square should be filled, but one square is unfilled. a) Give the unfilled square’s row and column, counting from the top and from the left. b) Without counting the filled squares one by one, write the multiplication fact that uses the same number twice for the whole grid and the subtraction used to find the number of filled squares.

A horizontal line divides the dot array into two equal parts. Write a multiplication equation for one part and another for the whole array. Then explain how the whole product is related to the product for one part.

Find each product, then order the four expressions from least product to greatest product. \(9 \times 4\), \(7 \times 6\), \(8 \times 8\), \(3 \times 9\)

Sofia wrote four multiplication facts. a) \(4 \times 8=32\) b) \(7 \times 9=56\) c) \(6 \times 6=36\) d) \(8 \times 5=45\) Which facts are incorrect? Correct each incorrect fact.

Find the missing factor in each multiplication fact. a) \(7\times\square=42\) b) \(8\times\square=56\) c) \(9\times\square=54\) d) \(6\times\square=48\)

Complete the table so that the two multiplication facts in each row have the same product. <table> <tr> <td>5s facts</td> <td>Product</td> <td>10s facts</td> </tr> <tr> <td>\(2 \times 5 =\)</td> <td>\(10\)</td> <td>\(\square \times 10 =\)</td> </tr> <tr> <td>\(\square \times 5 =\)</td> <td>\(20\)</td> <td>\(2 \times 10 =\)</td> </tr> <tr> <td>\(6 \times 5 =\)</td> <td>\(\square\)</td> <td>\(\square \times 10 =\)</td> </tr> <tr> <td>\(\square \times 5 =\)</td> <td>\(40\)</td> <td>\(4 \times 10 =\)</td> </tr> </table>

Max says, “There are more multiplication facts with a product of \(24\) than with a product of \(25\).” Use factors from \(1\) through \(10\). Decide whether Max is correct by listing every multiplication equation for each product.

Doubling known products can help you solve other multiplication facts. a) First find \(2 \times 8\). Double that product to find \(4 \times 8\). Double the new product again to find \(8 \times 8\). b) Find \(3 \times 6\). How can you use that product to find \(6 \times 6\)? Explain and give the product.

Start with each fact that uses the same number twice. Then add or subtract one equal group to find the new fact. a) \(6\times6=\square\), so \(7\times6=\square\) b) \(9\times9=\square\), so \(8\times9=\square\) c) \(5\times5=\square\), so \(4\times5=\square\) Show the addition or subtraction you used each time.

There is more than one way to break apart a multiplication fact. Complete each method for finding \(7 \times 8\). a) \(7 \times 8 = 7 \times 5 + 7 \times \dots = \dots + \dots = \dots\) b) \(7 \times 8 = 7 \times 10 - 7 \times \dots = \dots - \dots = \dots\) c) \(7 \times 8 = 7 \times 4 + 7 \times \dots = \dots + \dots = \dots\)

Fill in the blanks. First determine how many groups of \(8\) remain or are combined. a) \((8 \times 7) - (8 \times 2) = 8 \times \underline{\quad} = \underline{\quad}\) b) \((8 \times 3) + (8 \times 4) = 8 \times \underline{\quad} = \underline{\quad}\) c) \((8 \times 9) - (8 \times 5) = 8 \times \underline{\quad} = \underline{\quad}\) d) \((8 \times 2) + (8 \times \underline{\quad}) = 8 \times 10 = \underline{\quad}\)

Fill in the missing numbers to complete each multiplication strategy. a) \(6 \times 7 = (6 \times 5) + (6 \times \dots) = 30 + \dots = \dots\) b) \(8 \times 9 = (8 \times \dots) + (8 \times 4) = \dots + 32 = \dots\) c) \(7 \times 8 = (7 \times 4) + (7 \times \dots) = \dots + \dots = \dots\)

You can break apart either factor to make a multiplication problem easier. Find two different ways to calculate \(6 \times 8\). Method 1—break apart \(6\): \((\dots \times 8) + (\dots \times 8) = \dots + \dots = \dots\) Method 2—break apart \(8\): \((6 \times \dots) + (6 \times \dots) = \dots + \dots = \dots\)

Each line must equal \(4\times9\). Fill in the missing number, find the two smaller products, and give the final product. a) \((4\times5)+(4\times\square)=4\times9\) b) \((4\times\square)+(4\times2)=4\times9\) c) Write a different way to break apart \(4\times9\), and solve it.

Complete the multiplication table. First find the missing factors in the top row and first column. <table> <tr><td>\(\times\)</td><td>\(\square\)</td><td>\(7\)</td><td>\(\square\)</td></tr> <tr><td>\(2\)</td><td>\(16\)</td><td>\(\square\)</td><td>\(20\)</td></tr> <tr><td>\(\square\)</td><td>\(\square\)</td><td>\(21\)</td><td>\(\square\)</td></tr> </table>

Grid A shows the multiplication fact to find. Grid B has one extra column. Use Grid B to find the product in Grid A. Start with the \(\times10\) fact, then subtract the extra rightmost column. Show your equation and explain why it works.

The picture shows the seat arrays for Bus A and Bus B. Use \(7\times6\) to help compare them. Show: 1) \(7\times6\); 2) how to add one group to make Bus A; 3) how to add one group to make Bus B; 4) which bus has more seats and how many more.

Use \(8\times6\) to help compare \(8\times7\) and \(9\times6\). Show \(8\times6\) first. Then show one addition that makes \(8\times7\) and one addition that makes \(9\times6\). Which product is greater? How much greater?

Use the two grids to find \(8\times9\) in two different ways. a) Use Grid B: start with \(8\times10\) and subtract the extra column. b) Use Grid A: split it into two equal halves. Show both equations.

Use the split grid to check Eli’s equation. Eli writes \(8\times7=8\times5+2\). What is missing from Eli’s equation? Correct the equation and find the product.

Find \(7\times9\) in two ways. Show both equations. a) Start with \(7\times10\). Explain why you subtract \(7\) to get \(7\times9\). b) Split \(7\) into \(5+2\). Use \(5\times9\) and \(2\times9\). c) Why do both ways give the same product? Which way is easier for you? Why?