Designed for Grade 5 learners, this worksheet focuses on comparing two ratios by converting them into unit rates. Problems involve travel speeds, store prices, and ingredient amounts, asking students to determine which option is faster, cheaper, or larger. Short answers ask students to explain their work, while fill-ins reinforce the calculation steps. Grammar items keep ratio language precise, ensuring students communicate their mathematical thinking with accuracy and confidence.
Style:
Ratios Introduction
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The ratio 6:2 are equal to the ratio 9:3 because both simplify to 3:1.
Rewrite: The ratios 6:2 and 9:3 are equal because both simplify to 3:1.
2. Fix the sentence:
10 books for $20 are cheaper per book than 6 books for $18.
Rewrite: 10 books for $20 is cheaper per book than 6 books for $18.
3. Fix the sentence:
Each runner finish the race in different times, so their rates differ.
Rewrite: Each runner finishes the race in different times, so their rates differ.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Which is faster: 30 miles in 2 hours or 50 miles in 4 hours? Answer: 30 miles in 2 hours.
2. A baker uses 9 cups of flour for 6 loaves. The unit rate is 1.5 cups per loaf.
3. If 3 pencils cost 75 cents, then 1 pencil costs 25 cents.
4. Comparing 12 oranges for $6 and 20 oranges for $8, the better deal is 20 oranges.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. A bike rider goes 24 miles in 3 hours. A jogger covers 12 miles in 2 hours. Who is faster and by how much?
The bike rider's rate is 24 divided by 3, which is 8 mph. The jogger's rate is 12 divided by 2, which is 6 mph. The bike rider is 2 mph faster.
2. Store A sells 4 cans for $5. Store B sells 6 cans for $9. Which store has the better unit price?
Store A: $5 divided by 4 equals $1.25 per can. Store B: $9 divided by 6 equals $1.50 per can. Store A has the better price at $1.25.
Ratios Introduction
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
The ratio 6:2 are equal to the ratio 9:3 because both simplify to 3:1.
Rewrite: The ratios 6:2 and 9:3 are equal because both simplify to 3:1.
2) Fix the sentence:
10 books for $20 are cheaper per book than 6 books for $18.
Rewrite: 10 books for $20 is cheaper per book than 6 books for $18.
3) Fix the sentence:
Each runner finish the race in different times, so their rates differ.
Rewrite: Each runner finishes the race in different times, so their rates differ.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Which is faster: 30 miles in 2 hours or 50 miles in 4 hours? Answer: 30 miles in 2 hours.
2) A baker uses 9 cups of flour for 6 loaves. The unit rate is 1.5 cups per loaf.
3) If 3 pencils cost 75 cents, then 1 pencil costs 25 cents.
4) Comparing 12 oranges for $6 and 20 oranges for $8, the better deal is 20 oranges.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) A bike rider goes 24 miles in 3 hours. A jogger covers 12 miles in 2 hours. Who is faster and by how much?
The bike rider's rate is 24 divided by 3, which is 8 mph. The jogger's rate is 12 divided by 2, which is 6 mph. The bike rider is 2 mph faster.
2) Store A sells 4 cans for $5. Store B sells 6 cans for $9. Which store has the better unit price?
Store A: $5 divided by 4 equals $1.25 per can. Store B: $9 divided by 6 equals $1.50 per can. Store A has the better price at $1.25.
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9 Questions
15-20 minutes
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