Math final.pdf

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