7th Grade Math Final Exam PDF

Summary

This is a 7th-grade math final exam covering topics such as basic operations with numbers, ratios, rates, unit rates, percents, discounts, markups, percent change, and simple interest. The exam includes word problems and real-life applications.

Full Transcript

7th Grade Math Final Exam Section 1: Basic Operations with Numbers, Ratios, Rates, Unit Rates, and Percents 1. Addition and Subtraction with Whole Numbers: What is ? Subtract from. 2. Multiplication and Division with Whole Numbers: Multiply by. Divide by. 3. Operations with Decimals:...

7th Grade Math Final Exam Section 1: Basic Operations with Numbers, Ratios, Rates, Unit Rates, and Percents 1. Addition and Subtraction with Whole Numbers: What is ? Subtract from. 2. Multiplication and Division with Whole Numbers: Multiply by. Divide by. 3. Operations with Decimals: Add. Subtract from. Multiply by. Divide by. 4. Operations with Fractions: What is ? Subtract from. Multiply by. Divide by. 5. Operations with Rational Numbers: Calculate. Add. 6. Ratios: Write the ratio of 18 apples to 24 oranges in simplest form. 7. Rates: If a car travels 150 miles in 3 hours, what is the rate in miles per hour? 8. Unit Rates: Find the unit rate: 240 miles in 4 hours. 9. Percents: What is 25% of 200? Convert to a percent. Section 2: Discounts, Markups, Percent Change, and Simple Interest 10. Discounts and Markups: A jacket originally costs $80 and is on sale for 25% off. What is the sale price? A store marks up the price of a shirt by 30%. If the original price is $25, what is the new price? 11. Percent Change: The price of a book increased from $15 to $18. Calculate the percent increase. 12. Simple Interest: Find the simple interest on a loan of $500 at an interest rate of 6% per year for 3 years. Section 3: Mixed Problems 13. Word Problem: Sarah has of a cake. She gives of it to her friend. How much cake does she have left? 14. Real-life Application: If a car’s gas tank holds 12 gallons and it uses of a gallon per hour, how many hours can the car run before it runs out of gas? 15. Complex Fraction Operations: Simplify. 16. Decimal and Fraction Conversion: Convert 0.625 to a fraction in simplest form. 17. Proportional Relationships: If 3 notebooks cost $9, how much will 7 notebooks cost? 18. Percentage Increase/Decrease: A laptop’s price decreased from $1200 to $960. What is the percentage decrease? 19. Interest Calculation: If you invest $1000 at a simple interest rate of 5% per year, how much interest will you earn in 4 years? 20. Ratio to Fraction: Write the ratio 5:12 as a fraction. 21. Finding Percent of a Number: What is 15% of 350? 22. Combining Percent Problems: A store offers a 15% discount on a $120 item and then an additional 10% off the discounted price. What is the final price? 23. Multi-step Problem with Decimals: Calculate the total cost of 3.5 pounds of apples if each pound costs $2.45. 24. Challenging Multi-step Problem: If a bicycle is on sale for 20% off and the sale price is $240, what was the original price? End of Exam Good luck! Make sure to double-check your work and show all your steps for full credit. 1

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