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P3 Two-digit by One-digit: Paper 3 Challenge
P3 Two-digit by One-digit: Paper 3 Challenge
This paper moves to larger numbers: repeated carrying with 9 and 8, estimating before computing, recovering a missing factor, the largest two-digit number, and the times-ten-minus-one check for 9.
Direct answers Answers: 1 783; 2 768; 3 444; 4 estimate 420, exact 406, difference 14; 5 78; 6 280 stickers; 7 891; 8 yes, 225; 9 282 seats; 10 the correct answer is 768.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: P3 Two-digit by One-digit Multiplication |
| Level | P3 |
02 Questions (10 items)
- FoundationWork out 87 times 9.
- FoundationWork out 96 times 8.
- FoundationWork out 74 times 6.
- IntermediateEstimate 58 times 7 first, then find the exact value. How far apart are they?
- IntermediateA number multiplied by 6 gives 468. Find the number.
- IntermediateEach pack holds 35 stickers. How many stickers are there in 8 packs?
- ChallengeWhat is the largest two-digit number multiplied by 9?
- ChallengeIs 25 times 9 equal to 25 times 10 minus 25?
- ChallengeA hall has 47 seats in each row and 6 rows. How many seats are there?
- Error redoError clinic: a pupil wrote 96 times 8 equals 728. Where is the slip?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 783. 7 times 9 is 63, so write 3 and carry 6; 8 times 9 is 72, plus 6 makes 78, giving 783. | Multiplying by 9 also works as times 10 minus the number itself. |
| 2 | 768. 6 times 8 is 48, so write 8 and carry 4; 9 times 8 is 72, plus 4 makes 76, giving 768. | With a large tens product, keep the carry on the correct column. |
| 3 | 444. 4 times 6 is 24, so write 4 and carry 2; 7 times 6 is 42, plus 2 makes 44, giving 444. | Repeated digits in the answer still sit in different places. |
| 4 | The estimate is 420 (60 times 7) and the exact value is 406, so they differ by 14. | Round 58 to 60 to estimate; the estimate only checks whether the answer is reasonable. |
| 5 | 78, because 468 divided by 6 is 78; check: 78 times 6 is 468. | Divide to recover a missing factor, and expect a two-digit answer here. |
| 6 | 280 stickers. 5 times 8 is 40, so write 0 and carry 4; 3 times 8 is 24, plus 4 makes 28, giving 280. | The ones product of 40 guarantees a 0 in the ones place. |
| 7 | 891. The largest two-digit number is 99, and 99 times 9 is 891. | First identify the largest two-digit number as 99, then multiply. |
| 8 | Yes, both give 225, because multiplying by 9 is ten times the number minus the number itself. | This shortcut works for 9, but the subtracted amount must be the original number. |
| 9 | 282 seats. 7 times 6 is 42, so write 2 and carry 4; 4 times 6 is 24, plus 4 makes 28, giving 282. | So many per row times so many rows means multiplication. |
| 10 | The tens product 72 was written without adding the carry of 4; 72 plus 4 makes 76. The answer is 768. | Put the carry above the tens column and add it before writing the digit. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
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