ACADEMIC YEAR 2024 - 2025 ______________________________________________________________________________ ___________________________________ Vision: Engage. Explore. Exceed. Mission: Our goal as a school is to equip our students with skills, knowledge, and values to thrive and take on the world. ______________________________________________________________________________ __________________________________ PRACTICE WORKSHEET NAME: SUBJECT: Math DATE: GRADE/SECTION: 5 Unit 12 Ratio and proportion Lesson 12.2 Direct proportion Q1. Fill in the blank using the help box. Increases, 40, 200, 120, 2/5 1. 2. 3. 4. 5. In a direct proportion, if one quantity increases the other quantity does the same. If 10 apples cost $20, then 20 apples will cost 40. The ratio of 2 to 5 is 2/5 as a fraction. A recipe for 4 pancakes needs 100 ml of milk. For 8 pancakes, you need 200 ml of milk. If a car travels 60 miles in 1 hour, it will travel 120 miles in 3 hours. Q2. Choose the correct answer from the choices for each question. 1. If a machine makes 50 widgets in 5 hours, how many widgets will it make in 15 hours? a) 100 b) 150 c) 200 d) 250 2. The side length of a square is tripled. How does its area change? a) Doubles b) Triples c) Quadruples d) Increases nine times Page 1 of 3 3. A recipe requires 2 cups of flour for 4 servings. How many cups are needed for 12 servings? a) 4 b) 6 c) 8 d) 10 4. If a car travels 30 miles in 0.5 hours, how far will it travel in 2 hours? a) 60 miles b) 90 miles c) 120 miles d) 150 miles 5. What is the ratio of 8 to 32 simplified? a) 1:4 b) 1:5 c) 1:6 d) 1:8 Q3. Solve: a. In video game design class, it takes 20 minutes to create 4 simple animations. At this rate, how many animations can be created in 100 minutes? 20 animations ______________________________________________ _________________________________________________________________ _________________________________________________________________ b. Sarah's lemonade recipe uses 3 lemons to make 2 cups of lemonade. If she wants to make 10 cups of lemonade for a party, how many lemons will she need? 15 lemons _________________________________________________________________ _________________________________________________________________ Page 2 of 3 c. In Mr. Rodriguez's art class, students use 2 tubes of paint to create 5 paintings. How many tubes of paint will they need to create 35 paintings? 14 tubes _________________________________________________________________ d. At the school carnival, it takes 3 volunteers to supervise 21 students. Following the same ratio, how many volunteers are needed to supervise 84 students? 12 volunteers _________________________________________________________________ e. The school cafeteria uses 5 gallons of milk to serve 40 students. How many gallons of milk do they need to serve 120 students? 15 gallons _________________________________________________________________ f. This is a recipe of carrot cake for 10 people. What will be the quantities of same recipe for 5 people? 400 gm Carrots 6 eggs 200 ml Oil 600 gm flour 200 gms carrot, 3 eggs, 100 ml oil and 300 gm flour Page 3 of 3