Advanced Arithmetic Challenges - Worksheet Generator

1.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 3480 - 1250 = 2230

Step 2: 2230 - 890 = 1340

Step 3: 1340 ÷ 4 = 335

Answer: 335

2.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 5624 - 1456 = 4168

Step 2: 4168 - 984 = 3184

Step 3: 3184 ÷ 8 = 398

Answer: 398

3.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 7321 - 1234 = 6087

Step 2: 6087 - 1572 = 4515

Step 3: 4515 ÷ 7 = 645

Answer: 645

4.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 9186 - 1287 = 7899

Step 2: 7899 - 573 = 7326

Step 3: 7326 ÷ 9 = 814

Answer: 814

5.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 4830 - 1345 = 3485

Step 2: 3485 + 670 = 4155

Step 3: 4155 ÷ 5 = 831

Answer: 831

6.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 6520 - 1340 = 5180

Step 2: 5180 - 860 = 4320

Step 3: 4320 ÷ 10 = 432

Answer: 432

7.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 7896 - 2154 = 5742

Step 2: 5742 - 1230 = 4512

Step 3: 4512 ÷ 6 = 752

Answer: 752

8.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 2548 - 800 = 1748

Step 2: 1748 - 558 = 1190

Step 3: 1190 ÷ 7 = 170

Answer: 170

9.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 8360 - 2145 = 6215

Step 2: 6215 - 1255 = 4960

Step 3: 4960 ÷ 5 = 992

Answer: 992

10.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 6478 - 1578 = 4900

Step 2: 4900 - 2387 = 2513

Step 3: 2513 ÷ 7 = 359

Answer: 359

11.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 7852 - 1236 = 6616

Step 2: 6616 - 1576 = 5040

Step 3: 5040 ÷ 8 = 630

Answer: 630

12.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 9324 - 876 = 8448

Step 2: 8448 - 366 = 8082

Step 3: 8082 ÷ 6 = 1347

Answer: 1347

13.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 7254 - 1893 = 5361

Step 2: 5361 - 1581 = 3780

Step 3: 3780 ÷ 7 = 540

Answer: 540

14.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 4820 - 1570 = 3250

Step 2: 3250 - 430 = 2820

Step 3: 2820 ÷ 5 = 564

Answer: 564

15.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 9532 - 1287 = 8245

Step 2: 8245 - 650 = 7595

Step 3: 7595 ÷ 7 = 1085

Answer: 1085

16.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 10456 - 2356 = 8100

Step 2: 8100 - 1548 = 6552

Step 3: 6552 ÷ 4 = 1638

Answer: 1638

17.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 8450 - 765 = 7685

Step 2: 7685 - 935 = 6750

Step 3: 6750 ÷ 5 = 1350

Answer: 1350

18.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 11984 - 2456 = 9528

Step 2: 9528 - 1984 = 7544

Step 3: 7544 ÷ 8 = 943

Answer: 943

19.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 5871 - 1599 = 4272

Step 2: 4272 - 1272 = 3000

Step 3: 3000 ÷ 6 = 500

Answer: 500

20.

Word Problem 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

Working:

Answer:

Worked Solution:

Step 1: 10234 - 2345 = 7889

Step 2: 7889 - 3129 = 4760

Step 3: 4760 ÷ 7 = 680

Answer: 680

21.

Fill in the Blank After rounding 4567 to the nearest hundred, the result is _____ .

3 pts

Answer: 4600

22.

Fill in the Blank In the number 5893, the place value of 8 is _____ .

3 pts

Answer: 800

23.

Fill in the Blank The sum of the first two prime numbers is _____ .

3 pts

Answer: 5

24.

Fill in the Blank In the numeral 4725, the digit in the tens place represents _____ .

3 pts

Answer: 20

25.

Fill in the Blank If a number is rounded to the nearest ten and becomes 230, then one possible original value is _____ .

3 pts

Answer: 226

26.

Fill in the Blank In a multiplication problem, the product of 14 and 15 is _____ .

3 pts

Answer: 210

27.

Fill in the Blank The difference between 1000 and 653 is _____ .

3 pts

Answer: 347

28.

Fill in the Blank In a division problem, if 720 is divided by 8, the quotient is _____ .

3 pts

Answer: 90

29.

Fill in the Blank After rounding 826 to the nearest ten, dividing the result by 2 gives _____ .

3 pts

Answer: 415

30.

Fill in the Blank In the number 7392, the digit 9 is in the _____ place.

3 pts

Answer: tens

31.

Fill in the Blank If a number is decreased by 274 and the result is 726, then the original number is _____ .

3 pts

Answer: 1000

32.

Fill in the Blank The product of 18 and 12 is _____ .

3 pts

Answer: 216

33.

Fill in the Blank In the number 503, the digit 5 represents _____ .

3 pts

Answer: 500

34.

Fill in the Blank If you subtract 123 from 456, you get _____ .

3 pts

Answer: 333

35.

Fill in the Blank When rounding 299 to the nearest hundred, the result is _____ .

3 pts

Answer: 300

36.

Fill in the Blank In the fraction 3/4, the numerator is _____ .

3 pts

Answer: 3

37.

Fill in the Blank If a number is multiplied by 0, the result is _____ .

3 pts

Answer: 0

38.

Fill in the Blank When the number 8759 is rounded to the nearest thousand, it becomes _____ .

3 pts

Answer: 9000

39.

Fill in the Blank In the number 6723, the sum of the digits in the tens and ones places is _____ .

3 pts

Answer: 5

40.

Fill in the Blank If a number divided by 5 equals 120, then the number is _____ .

3 pts

Answer: 600