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 3 Multiplication and Division maths worksheets for England (National Curriculum) — Dividing using the 3, 4, and 8 times tables, Finding the Missing Number in Box Equations, Multiplication tables up to 100: 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
Ada fills 25 cups with orange juice using the first machine on the cafeteria counter. She starts the second machine to squeeze more juice until she fills 39 cups in all. How many cups did Ada fill with the second machine?
Hint: Think about how many cups you need to add to 25 to reach 39. What can you take away from 39 to find that missing part?
Answer: 14
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
Children learn to divide numbers within their known times tables, focusing on division facts for the 3, 4, and 8 multiplication tables up to 100.
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 3, children build fluency by calculating division facts linked to the 3, 4, and 8 multiplication tables, working with numbers up to 100. They connect practical sharing and grouping to written calculations using the division (÷) and equals (=) signs, learning to see division as the exact reverse of multiplication.
A typical error occurs when children try to recall division facts by skip-counting from zero rather than relating the problem to a known multiplication partner. This often leads to mix-ups between related facts in the 4 and 8 tables—for instance, incorrectly answering that 24 ÷ 4 is 8 because 4, 8, and 24 all feel familiar together.
Worksheet tasks bring these calculations to life through practical scenarios and puzzle-solving. Children might work out equal groups in tasks like How many packs will there be, share items evenly across rows, or compare scenarios to see Which sharing gives more per person. They also deepen their reasoning by finding missing numbers in division tables and completing Check the division and find the mistake challenges.
Task types: Division within the table (to 100) · How many packs will there be · Share into equal parts · Share them out evenly · How many in one row · 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 find the unknown value in addition and subtraction equations where an empty box stands for a missing number, balancing both sides of the equals sign.
Y1.AS.4 solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = □ – 9.Y2.AS.5 recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.Y3.AS.4 solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.Y3.MD.3 solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.Y5.MD.10 solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
In Year 3, children solve missing number problems with numbers up to 1000 using addition, subtraction, place value, and known number facts. They learn to identify what number belongs in an empty box to make an equation true, using the inverse relationship between operations to work out whether they need to add or subtract.
A common mistake occurs when children see the equals sign simply as a command to calculate with the numbers they see. For example, in an equation like □ − 30 = 50, a child might instinctively subtract 30 from 50 to get 20, missing that the starting number must be greater than the amount taken away.
Worksheet tasks present these challenges in several practical ways, from finding a missing addend and calculating a box in subtraction to solving for a box in a sum of three numbers. Visual formats such as a balanced scale also help children see how much a hidden block must weigh to keep both sides equal.
Task types: Missing addend (box equation) · Put the sign between the sum and the number · A balanced scale: how much does the hidden block weigh · A box in subtraction: what number was it taken from? · How many more to make the sides equal · Which number hides in the box · A box in a sum of three numbers · Fill in both boxes in turn
Children learn to recall and use multiplication facts for the 3, 4, and 8 times tables alongside earlier tables, solving calculations with products up to 100.
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 3, children build on the 2, 5, and 10 times tables from earlier years by learning to recall and use multiplication facts for the 3, 4, and 8 times tables. They work with calculations and multiplication grids up to 100, connecting abstract equations to physical arrangements like equal groups and dot arrays.
A common hurdle occurs when children rely solely on skip-counting on their fingers rather than direct recall. When working with larger steps like 8, they easily lose track of the count or confuse neighbouring multiples—such as confusing 24 and 32. Children also stumble on missing factor problems, sometimes adding the given numbers together instead of figuring out how many equal groups fit into the total.
Practice tasks move from visual models to abstract calculations. Children may find the total by interpreting how many dots in the array or calculating equal groups altogether. Other activities ask them to solve for a missing factor, examine a worked problem to check the multiplication and find the mistake, or evaluate which product 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 choose the right operation to solve practical addition and subtraction word problems, including finding missing starting amounts and what is left.
Y1.AS.4 solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = □ – 9.Y1.MD.1 solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.Y2.MD.4 solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.Y2.NPV.6 use place value and number facts to solve problems.Y3.MD.3 solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.Y3.NPV.6 solve number problems and practical problems involving these ideas.Y2.AS.1.a using concrete objects and pictorial representations, including those involving numbers, quantities and measuresY2.AS.1.b applying their increasing knowledge of mental and written methods
In Year 3, children solve practical, single-step word problems involving addition and subtraction with numbers up to 1000. They interpret real-world contexts to decide whether quantities are being added altogether or taken away, and they apply their mental and written methods to find the missing values.
A common error occurs when children skim the text and grab numbers without understanding the context. When a problem contains an extra number that is not needed, or asks them to work backwards to work out how many there were at the start, they often default to adding every number they see rather than thinking through what is happening to the quantities.
Practice tasks feature short written scenarios where pupils decide which operation solves the problem or choose the correct result. Exercises include finding how many are left, determining the initial quantity at the start, and identifying the relevant information in problems that include an extra number.
Children learn to multiply two-digit numbers by 2 using mental doubling and written working.
Y3.MD.2 write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
In Year 3, children learn to multiply two-digit numbers by 2, building on their knowledge of the 2 times table. They calculate these products by partitioning a two-digit number into tens and ones, doubling each part mentally or setting out their calculations using written methods.
A common mistake happens when the ones digit is 5 or greater, requiring regrouping into the tens. For example, when calculating 36 × 2, a child might double 30 to make 60 and double 6 to make 12, but then write 612 instead of adding the parts together to get 72. Other times, they simply forget to add the extra ten created by doubling the ones.
Practice tasks on this skill include solving direct calculations and choosing the correct result from multiple options. Children also evaluate true-or-false multiplication statements, work backwards to work out which number doubled gives a specific total, and solve comparison questions asking how much more one value is after doubling both numbers.
Children learn to multiply a one-digit number by a multiple of 10, using their known times tables to calculate products mentally.
Y3.MD.2 write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
In Year 3, children build on their multiplication tables to multiply a single-digit number by a two-digit multiple of 10, such as 4 × 30 or 8 × 20. They learn to connect known facts to tens—for example, recognizing that 4 × 3 tens equals 12 tens, or 120—to calculate these statements mentally.
A common mistake occurs when children treat the zero as a superficial trick rather than understanding place value. Without this foundation, pupils often confuse multiplication with addition (calculating 4 + 30 = 34) or write down the basic table fact without scaling it up, producing answers that are ten times too small.
Practice tasks from the Multiply by a multiple of ten template present direct calculation statements. Children work through these equations mentally, using their times table recall to find and write the correct product.