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Mathematics

Advanced Arithmetic Challenges

Grade 6: Advanced Operational and Estimation Problems
Date: May 31, 2026  •  Questions: 40  •  Estimated time: 35 minutes
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____ / 120
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. A shopkeeper had 3480 sweets. He sold 1250 on Monday and 890 on Tuesday. The remaining sweets were divided equally among 4 boxes. How many sweets does each box contain? (3 pts)
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2. A farmer harvested 5624 kg of produce. He distributed 1456 kg to the local market and 984 kg to a neighboring town. The remaining produce was packed equally into 8 crates. How many kilograms does each crate contain? (3 pts)
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3. Lisa collected 7321 stamps. She gave 1234 stamps to her friend and sold 1572 stamps. The remaining stamps were arranged evenly in 7 albums. How many stamps are in each album? (3 pts)
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4. A factory produced 9186 gadgets. After rejecting 1287 gadgets and setting aside 573 for testing, the remaining gadgets were packed equally into 9 boxes. How many gadgets did each box receive? (3 pts)
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5. A school library had 4830 books. It borrowed 1345 books and then received 670 new books. The total was divided equally among 5 sections. How many books did each section get? (3 pts)
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6. A community center had 6520 chairs. After donating 1340 chairs and rearranging 860 chairs for an event, the remaining chairs were distributed equally into 10 storage rooms. How many chairs are in each room? (3 pts)
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7. During a fundraising event, 7896 tickets were sold. First, 2154 tickets were allocated for early buyers and then 1230 for VIP guests. The remaining tickets were distributed equally among 6 booths. How many tickets did each booth receive? (3 pts)
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8. A baker made 2548 cupcakes. He sold 800 cupcakes in the morning and 558 cupcakes in the afternoon. The remaining cupcakes were packed equally into 7 boxes. How many cupcakes are in each box? (3 pts)
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9. A town raised 8360 dollars for charity. After spending 2145 dollars on event organization and 1255 dollars on publicity, the remaining funds were shared equally by 5 sponsors. How much did each sponsor receive? (3 pts)
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10. An amusement park sold 6478 tickets in one day. Out of these, 1578 were for children and 2387 for teenagers. The remaining tickets were sold as adult tickets equally at 7 counters. How many adult tickets were sold per counter? (3 pts)
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11. A factory produced 7852 units in a week. If 1236 units were found defective and 1576 were used for quality testing, the remaining units were packed equally in 8 boxes. How many units does each box contain? (3 pts)
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12. A sports club collected 9324 signatures for an event. After removing 876 duplicate signatures and 366 invalid ones, the remaining signatures were organized equally into 6 groups. How many signatures does each group contain? (3 pts)
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13. During a school trip, 7254 students visited a museum. Out of these, 1893 students were given a guided tour and 1581 used audio guides. The remaining students were divided equally into 7 groups for interactive sessions. How many students are in each group? (3 pts)
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14. A bank had 4820 documents. After archiving 1570 files and discarding 430 outdated documents, the remaining documents were sorted equally into 5 cabinets. How many documents does each cabinet contain? (3 pts)
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15. An online store sold 9532 items in a week. They returned 1287 items due to defects and 650 items due to cancellations. The remaining items were packaged equally into 7 batches. How many items are in each batch? (3 pts)
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16. A charity event raised 10456 dollars. After spending 2356 dollars on logistics and 1548 dollars on refreshments, the remaining donation was divided equally among 4 causes. How much did each cause receive? (3 pts)
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17. In a competition, 8450 participants registered. If 765 were disqualified and 935 withdrew their entries, the remaining participants were arranged equally into 5 groups for the semifinals. How many participants are in each group? (3 pts)
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18. A manufacturing unit produced 11984 units in a day. After using 2456 units for testing and setting aside 1984 units for repair, the remaining units were distributed equally across 8 warehouses. How many units did each warehouse receive? (3 pts)
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19. In a school exam, 5871 marks were distributed. If top performers scored 1599 marks and the middle band scored 1272 marks, the remaining marks were equally shared among 6 subjects. What is the average mark per subject? (3 pts)
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20. A parking garage recorded 10234 cars in a month. Out of these, 2345 were two-wheelers and 3129 were small cars. The remaining cars were distributed equally among 7 parking zones. How many cars were assigned to each zone? (3 pts)
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21. After rounding 4567 to the nearest hundred, the result is   . (3 pts)
22. In the number 5893, the place value of 8 is   . (3 pts)
23. The sum of the first two prime numbers is   . (3 pts)
24. In the numeral 4725, the digit in the tens place represents   . (3 pts)
25. If a number is rounded to the nearest ten and becomes 230, then one possible original value is   . (3 pts)
26. In a multiplication problem, the product of 14 and 15 is   . (3 pts)
27. The difference between 1000 and 653 is   . (3 pts)
28. In a division problem, if 720 is divided by 8, the quotient is   . (3 pts)
29. After rounding 826 to the nearest ten, dividing the result by 2 gives   . (3 pts)
30. In the number 7392, the digit 9 is in the   place. (3 pts)
31. If a number is decreased by 274 and the result is 726, then the original number is   . (3 pts)
32. The product of 18 and 12 is   . (3 pts)
33. In the number 503, the digit 5 represents   . (3 pts)
34. If you subtract 123 from 456, you get   . (3 pts)
35. When rounding 299 to the nearest hundred, the result is   . (3 pts)
36. In the fraction 3/4, the numerator is   . (3 pts)
37. If a number is multiplied by 0, the result is   . (3 pts)
38. When the number 8759 is rounded to the nearest thousand, it becomes   . (3 pts)
39. In the number 6723, the sum of the digits in the tens and ones places is   . (3 pts)
40. If a number divided by 5 equals 120, then the number is   . (3 pts)