This challenging Grade 5 worksheet asks students to solve multi-step ratio word problems involving three quantities. Scenarios include paint mixing, recipe scaling, and reading scale maps where one inch represents many miles. Multiple choice questions test rapid reasoning, while fill-ins require careful step-by-step work. Students practice finding the value of one part of a ratio and then scaling up, a key skill for proportional reasoning and future algebra success.
Style:
Ratios Introduction
Part A: Multiple Choice
Circle the best answer for each question.
1. A map scale says 1 inch equals 50 miles. Two cities are 4 inches apart on the map. How many real miles apart are they?
A) 200 miles
B) 150 miles
C) 100 miles
D) 250 miles
2. A paint mix uses red, blue, and white in a 2:3:5 ratio. If 30 cups of paint are made, how many cups are blue?
A) 6 cups
B) 9 cups
C) 12 cups
D) 15 cups
3. A recipe serves 4 people using 2 cups of rice. To serve 10 people, how many cups of rice are needed?
A) 4 cups
B) 4.5 cups
C) 5 cups
D) 6 cups
4. A scale model has a ratio of 1:24. The real car is 192 inches long. How long is the model?
A) 6 inches
B) 7 inches
C) 10 inches
D) 8 inches
Part B: Fill in the Blank
Write the correct answer on each line.
1. A recipe uses flour, sugar, and butter in a 4:2:1 ratio. If 14 cups total are used, butter equals 2 cups.
2. On a map, 1 cm represents 25 km. Two towns are 6 cm apart on the map, so they are 150 km apart.
3. Mixing concrete uses cement, sand, and gravel in 1:2:4. To make 21 buckets, you need 12 buckets of gravel.
4. A scale drawing uses 1 inch = 8 feet. A room 32 feet long appears 4 inches on the drawing.
5. A juice mix has water, apple, and orange in 5:3:2. Out of 50 oz total, orange juice is 10 oz.
Ratios Introduction
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A map scale says 1 inch equals 50 miles. Two cities are 4 inches apart on the map. How many real miles apart are they?
A) 200 miles
B) 150 miles
C) 100 miles
D) 250 miles
2. A paint mix uses red, blue, and white in a 2:3:5 ratio. If 30 cups of paint are made, how many cups are blue?
A) 6 cups
B) 9 cups
C) 12 cups
D) 15 cups
3. A recipe serves 4 people using 2 cups of rice. To serve 10 people, how many cups of rice are needed?
A) 4 cups
B) 4.5 cups
C) 5 cups
D) 6 cups
4. A scale model has a ratio of 1:24. The real car is 192 inches long. How long is the model?
A) 6 inches
B) 7 inches
C) 10 inches
D) 8 inches
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A recipe uses flour, sugar, and butter in a 4:2:1 ratio. If 14 cups total are used, butter equals 2 cups.
2) On a map, 1 cm represents 25 km. Two towns are 6 cm apart on the map, so they are 150 km apart.
3) Mixing concrete uses cement, sand, and gravel in 1:2:4. To make 21 buckets, you need 12 buckets of gravel.
4) A scale drawing uses 1 inch = 8 feet. A room 32 feet long appears 4 inches on the drawing.
5) A juice mix has water, apple, and orange in 5:3:2. Out of 50 oz total, orange juice is 10 oz.
Ready to Practice?
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9 Questions
12-18 minutes
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