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Applied Math Real-World Problem Solving Worksheet

Worksheet · Grade 8 · English

Applied Math Real-World Problem Solving Worksheet

Warm-up

1. Business & Budgeting Basics

a. Emily wants to buy a laptop that costs $900. The store is offering a 15% discount. How much will Emily pay for the laptop after the discount?
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b. A small business spent $2,400 last month. If 40% of the expenses were for materials and the rest for labor, how much did the business spend on labor?
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c. Jason's monthly income is $1,800. He spends

of his income on rent, 20% on food, and saves the rest. How much does Jason save each month?
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Core Practice

2. Speed, Distance, and Time

a. A train travels 250 km in 4 hours. What is its average speed in km/h?
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b. Sarah rides her bike at a constant speed of 12 km/h. How long will it take her to travel 30 km?
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c. A car leaves Town A at 9:00 AM traveling at 60 km/h towards Town B, which is 180 km away. At the same time, another car leaves Town B towards Town A at 70 km/h. At what time will they meet?
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3. Data Interpretation

a. The table below shows the number of products sold by a shop over 5 days:
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Products
45
50
38
62
55
  • On which day were the most products sold?
  • What is the average number of products sold per day?
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b. The following table shows the monthly expenses for a family:
Category
Amount ($)
Rent
950
Utilities
120
Groceries
350
Transportation
80
Miscellaneous
100
  • What percentage of the total monthly expenses is spent on rent?
  • Which category has the smallest share of expenses?
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Challenge

4. Multi-Step Real-Life Scenarios

a. Olivia wants to organize a school event. She has a budget of $800. The venue costs $350, decorations cost $120, and food costs $15 per person. She wants to invite as many people as possible without exceeding her budget. What is the maximum number of people Olivia can invite?
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b. A store buys notebooks at $1.20 each and plans to sell them at $2.00 each. The store spends $32 on advertising. If all notebooks are sold and the total revenue is $200, how many notebooks did the store buy, and what is the profit after advertising?
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