What this worksheet helps children practise
A common mistake is subtracting one only once. For example, 20 × 4 − 1 gives seventy-nine because just one bundle has been adjusted. Return to the story: every one of the four bundles must lose one invitation. Another mistake is subtracting nineteen from the product by twenty. Ask how many bundles there are and how many invitations leave each bundle. The amount to subtract is the factor after the multiplication sign, not always one or nineteen.
The activity introduces compensation in multiplication: temporarily use a nearby, easier number, then adjust the total. The suggested third-grade level is for guided practice once a child can multiply by twenty and subtract small numbers. It is not a replacement for understanding equal groups or learning basic facts. Children should explain why subtracting the other factor corrects every bundle. Understanding that relationship is more useful here than memorizing twelve disconnected answers or finishing the page quickly. For a related skill, use 3-Digit by 2-Digit Multiplication with Partial Products: Find both partial products, then add them on the Total row.
Preparing a short session
Provide a pencil, an eraser and scrap paper for intermediate steps. Keep the worked example visible and put the answer key aside until the child has attempted some problems. Draw two simple rectangles to represent bundles of twenty invitations. Remove one invitation from each bundle, leaving nineteen in each. Explain that Nora and the envelope are story illustrations. Their lines and details are not objects to count, and children do not need to draw every invitation.
A concrete example to get started
The model starts with four bundles. Four groups of twenty contain eighty invitations. To change every group into a group of nineteen, remove one invitation from each of the four groups. That means removing four invitations altogether. The calculation is 19 × 4 = (20 × 4) − 4 = 80 − 4 = 76. Ask the child to explain both uses of four: it counts the bundles and also the invitations removed, one from each bundle.
Supporting the activity
Work across each row from left to right. A small expression below each multiplication gives a hint using the correct factor. First calculate twenty times that factor, then subtract the factor and write the final product in the answer box. Children can say the intermediate steps aloud or record them on scrap paper. If twelve calculations feel tiring, complete the first six now and the remaining six in another session, beginning again with the model. To vary the practice, try 20 times table: double, then multiply by 10: Complete all twelve products. Double the factor, then multiply by 10.
What to notice and how to check
In factor order from one through twelve, the answers are 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209 and 228. Check selected answers by asking for both steps, rather than only reading the number list. For seven bundles, 140 − 7 gives 133 invitations. Neighboring products differ by nineteen because another bundle has been added. This pattern can help identify a mistake, but the child should still explain the compensation that produced an answer.
Making the task easier
Start with factors one, two, three and five. Represent bundles with rectangles labeled twenty and mark the removed invitations beside them. If multiplying by twenty is difficult, double the factor first and multiply that double by ten. An adult can record the steps while the child explains the quantities. Save factors eleven and twelve for later if working above two hundred is still demanding. Cover unused rows to help children focus on one calculation at a time.
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
Check a product with another decomposition: 19 × 6 can be found as 19 × 5 + 19, or 95 + 19 = 114. Compare this method with 120 − 6 and discuss why both count the same invitations. On scrap paper, explain why 19 × 10 equals 190, then check 19 × 11 with 220 − 11. Children can invent a new delivery for Nora and justify its total. These extensions are separate from the twelve printed exercises.
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 Two-digit by two-digit multiplication with partial products: Find both partial products, then add them.
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.