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Mathematics

Challenging Whole Numbers Word Problems

Whole Numbers and Their Properties
Date: May 25, 2026  •  Questions: 10  •  Estimated time: 35 minutes
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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 factory can produce 15,000 widgets per month. If the demand for the widgets increases by 20% each month, how many widgets will the factory need to produce in the third month to meet the demand? Show your working. (10 pts)
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2. A large cargo ship has a capacity of 8,000,000 kilograms. If each container weighs 120,000 kilograms and the ship is 80% loaded, how many containers are on the ship? Show your working. (10 pts)
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3. A classroom has 30 students, and each student needs 5 textbooks for different subjects. Two textbooks out of the required 5 were not available initially. If the school is now providing the remaining textbooks, how many textbooks are being distributed? Show your working. (10 pts)
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4. A gardener plants rows of trees with each row containing 48 trees. She plans to plant 5 such rows but removes 8 trees from the last row. How many trees does she plant in total? Show your working. (10 pts)
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5. A bus travels 120 km in 1.5 hours. If it maintains the same speed, how far will it travel in 5 hours? Show your working. (10 pts)
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6. A company packages juice in boxes, each box containing 24 bottles. The company receives an order for 50 boxes, but later the buyer cancels 10 boxes. How many bottles are in the final order? Show your working. (10 pts)
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7. A train travels at a speed of 72 km/h and needs to cover a distance of 648 km. How long will it take the train to complete the journey? Show your working. (10 pts)
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8. A tank can hold 4,500 liters of water. If 1/5 of the tank is empty, how much water is currently in the tank? Show your working. (10 pts)
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9. If 9 labourers can finish a job in 12 days, how many days will it take for 6 labourers to finish the same job, assuming they work at the same rate? Show your working. (10 pts)
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10. A car dealership offers two types of financing: 5% simple interest for 2 years or 3% simple interest for 4 years. If a customer plans to make a purchase of 5,00,000, which financing option requires them to pay less interest? Show your working. (10 pts)
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