Two mice behind the barn divide 15 sunflower seeds into 5 equal piles. How many seeds are in each pile?
Hint: Share 15 sunflower seeds equally into 5 piles. Think about what number multiplied by 5 gives 15.
Answer: 3
Imaginesis: printable Year 4 Multiplication and Division maths worksheets for England (National Curriculum) — Dividing Using Times Table Facts, Times Tables and Multiplication Facts to 100, Reordering and grouping numbers to add easily: word problems with hints, answers and worked solutions as PDF, also as an A/B test.
Two mice behind the barn divide 15 sunflower seeds into 5 equal piles. How many seeds are in each pile?
Hint: Share 15 sunflower seeds equally into 5 piles. Think about what number multiplied by 5 gives 15.
Answer: 3
The board on the kitchen island holds 7 rows of baked pretzels. Each row contains 4 pretzels. What is the total count of pretzels on the board?
Hint: Count how many pretzels are in one row, and then think how many times you need to add that group for 7 rows.
Answer: 28
On the classroom table, Sam counts 14 dinosaur cards in the first pile. Nina adds 3 dinosaur cards to make a second pile. Tom puts down 7 dinosaur cards in a third pile. How many dinosaur cards are on the classroom table in all?
Hint: Look for two piles that make a ten together first. Try adding Nina's 3 dinosaur cards and Tom's 7 dinosaur cards before you add the first pile.
Answer: 24
Children learn to quickly recall and apply division facts from their times tables up to 12 × 12 to solve calculations and sharing problems.
Y2.MD.2 calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signsY3.MD.1 recall and use multiplication and division facts for the 3, 4 and 8 multiplication tablesY4.MD.1 recall multiplication and division facts for multiplication tables up to 12 × 12
In Year 4, children build on earlier tables to recall and use division facts for all multiplication tables up to 12 × 12. Using the division (÷) and equals (=) signs, they calculate answers within the multiplication tables—frequently working with totals up to 100—by recognising division as the inverse of multiplication rather than counting in ones.
A common mistake occurs when children fail to connect the division question to the related multiplication fact. Instead of asking what number multiplies to make the total, they may try to count backwards or confuse adjacent times table steps—for example, answering 48 ÷ 6 with 7 because they misremember 6 × 7 = 42 instead of recalling 6 × 8 = 48.
Practice tasks reinforce these connections through both abstract equations and real-world grouping. Children might fill in missing numbers in What was it divided by (division table), solve quick calculations in Division within the table (to 100), or spot reasoning errors in Check the division and find the mistake. Other tasks frame division as sharing and grouping, asking How many packs will there be, Share them out evenly, or Which sharing gives more per person.
Task types: How many in one row · Division within the table (to 100) · How many packs will there be · Share into equal parts · Share them out evenly · Check the division and find the mistake · Division with one number too many · What was it divided by (division table) · Which sharing gives more per person
Children learn to recall and use multiplication facts with products up to 100, using arrays, equal groups, and reasoning to solve problems.
Y2.MD.1 recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbersY2.MD.2 calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signsY2.MD.4 solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.Y3.MD.1 recall and use multiplication and division facts for the 3, 4 and 8 multiplication tablesY4.MD.1 recall multiplication and division facts for multiplication tables up to 12 × 12
In Year 4, children build fluent recall of multiplication facts with products up to 100. Having worked with the 2, 3, 4, 5, 8, and 10 times tables in earlier years, they now connect visual arrangements like dot arrays and equal groups directly to multiplication equations using the times sign (×).
A frequent difficulty occurs when children rely on skip-counting or repeated addition instead of direct recall. As the numbers grow larger, losing count by a single step is common—such as confusing 7 × 8 with 54 instead of 56—or mixing up the operation when asked to determine a missing factor.
Practical tasks give children varied ways to apply these facts. Worksheets include finding the total number of dots in an array, completing missing factor problems, checking a calculation to identify errors, and comparing two products to calculate which is larger and by how much.
Task types: Equal groups altogether · How many dots in the array · How many times was it taken · Multiplication table (to 100) · Missing factor (multiplication table) · Check the multiplication and find the mistake · Multiplication with one number too many · Which product is larger and by how much
Children learn to rearrange and group numbers in an addition problem to make calculations simpler, recognising that changing the order does not change the total.
Y2.AS.4 show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannotY2.MD.3 show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannotY4.MD.2 use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbersY2.AS.3.d adding three one-digit numbers
In Year 4, children build on earlier work with commutativity by rearranging and grouping multiple numbers to calculate mentally with ease. Instead of working through an addition problem strictly from left to right, pupils learn to look at the whole expression and pair up terms that make friendly totals, such as number bonds to 10 or 100. They also demonstrate that two expressions on either side of an equals sign remain balanced when the addends are swapped or regrouped.
A common error is applying this flexibility to operations where order matters. While addition can be done in any order, children sometimes assume that subtraction works the same way and mistakenly swap numbers in a subtraction problem to make it feel easier. Another typical difficulty is calculating strictly from left to right out of habit, missing convenient pairs that would make the calculation faster and less prone to mental arithmetic errors.
Practice worksheets reinforce these strategies through targeted exercises:
Task types: Compare the two sums · The same total, sides swapped — what is hidden · Four terms, two convenient pairs · What is missing on the other side to make it equal · Choose the convenient order · A handy order of adding: choose the correct answer · A handy order of adding: true or false · Add the easy way and explain your steps
Children learn to tell the difference between how much greater one quantity is using subtraction and how many times larger it is using multiplication.
Y4.MD.5 solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.
Children learn to compare two values using both addition and multiplication, applying their times tables up to 12 × 12. Rather than only finding the numerical gap between two amounts, they solve integer scaling problems to decide both how much greater an amount is and how many times as large it is.
A common mistake is confusing additive language with multiplicative language. When asked "how many times as many," children often default to subtracting one number from the other instead of scaling. For example, when comparing 4 and 12, a child might subtract to say there are "8 times as many" instead of dividing to see that 12 is 3 times as large as 4.
Worksheet tasks give children paired numbers or illustrated sets to compare side by side. Using prompts like How much greater?, children calculate the difference between the values, while prompts like How many times as large? and How many times as many? require them to scale one value up or down to find the multiplier.