What this worksheet helps children practise
Have the child say the whole tens value aloud before starting the second row. In 562 × 42, saying forty keeps the place-value meaning visible. Five boxes allow larger products to fit, but children should not insert leading zeros just to fill the row. Praise a clear explanation and accurate alignment along with a correct final answer. If multiplication facts are the main obstacle, offer a fact chart temporarily and keep the lesson focused on how the partial products combine.
The focus is the value of each digit in the two-digit multiplier. In 124 × 23, the 3 represents three ones, while the 2 represents two tens. The second partial product is therefore 124 × 20, not 124 × 2. Children extend a familiar method to a three-digit first factor and keep the written columns aligned. This is a guided upper-elementary challenge after shorter multiplication practice. Grade labels are only a starting point: secure multiplication facts, place value, and addition with regrouping are the useful prerequisites. For a related skill, use 3-Digit by 1-Digit Multiplication Without Regrouping: Multiply from right to left. Write one digit in each answer box.
Preparing a short session
Print at actual size so that the writing boxes remain comfortable. Provide a pencil, eraser, and scratch paper for regrouping marks or intermediate calculations. Introduce Leo, who is packing boxes with equal numbers of bookmarks. Ask which factor describes the number in each box and which tells how many boxes there are. Children do not need to draw hundreds of objects; the story simply gives the large numbers a meaning. Keep the answer key separate until the child has attempted at least one complete calculation.
A concrete example to get started
The example splits 132 × 24 into 132 × 4 and 132 × 20. These products are 528 and 2640, giving a total of 3168. In the first exercise, 124 × 23, write 372 in the × 3 row and 2480 in the × 20 row. Their sum is 2852. Align every number with the rightmost ones box. Empty boxes to the left are intentional. The zero in 2480 records the tens value and must stay in place when the two rows are added.
Supporting the activity
Work through the first two problems together if the layout is unfamiliar, then invite an independent attempt. The six problems run from 124 × 23 to 735 × 68, moving from four-digit to five-digit totals. The factor 307 provides practice keeping an internal zero in its correct column. Printed row labels identify each multiplication without supplying its answer. There is no timed target. Complete three problems now and three later if that leaves enough attention for explaining the method and checking the written work. To vary the practice, try Two-digit by two-digit multiplication with partial products: Find both partial products, then add them.
What to notice and how to check
Check each partial product before checking the total. A tens-row answer that is ten times too small often means the child used 2 instead of 20. When both partial products are correct, inspect the addition columns and any regrouping. The separate key displays all three rows, helping you find the first point at which the work changes. Use a rough estimate as another check: 735 × 68 should be near 700 × 70, or 49000, rather than a few thousand.
Making the task easier
Complete one problem with a multiplication chart available. Return to two-digit by two-digit multiplication when the longer factors make the method difficult to follow.
Keep the learning aim, but reduce how much the child has to handle at once. Cover part of the page with another sheet and reveal one task at a time. Demonstrate a separate example, then leave a real opportunity to work something out. An answer reached with support is still a useful attempt; it does not yet show that the same task can be completed independently.
Taking the idea beyond the worksheet
Explain another valid order for the partial products, such as 236 × 10 followed by 236 × 4. Show why their sum still equals 236 × 14.
Use the follow-up to meet the same idea in a different setting. Offer it once the first task makes sense, without insisting that the whole page must be perfect. The child might explain a strategy, make an example or set a challenge for an adult. Return to the worksheet only when it helps connect the two situations. A short conversation or a practical activity can be enough to finish the session. To continue exploring, use Three-digit addition with regrouping: Add each pair. Write the regrouped digits in the small boxes.
Downloading and printing the PDF
This free PDF contains one worksheet designed for A4 paper. Download the file using the button on this page and open it in your PDF reader. Choose actual size or a 100% scale, check the orientation in the print preview and turn off any browser headers or footers. The illustrations use vector lines, so their outlines stay sharp when printed. Check the margins on one copy before preparing several sheets for a group. The level shown on the page is a guide, rather than a requirement to complete the activity at a particular age.