Unit Rate Problems 6th Grade - Free Printable
Educational worksheet: Unit Rate Problems 6th Grade. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Unit Rate Problems 6th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Unit Rate Problems 6th Grade
Let's solve each of these unit rate problems step by step. A unit rate is a rate where the second quantity is 1 (e.g., dollars per ticket, pages per hour). To find the unit rate, we divide the first quantity by the second.
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$$
\frac{192}{6} = 32 \Rightarrow \$32 \text{ per ticket}
$$
$$
\frac{252}{6} = 42 \Rightarrow 42 \text{ pages per hour}
$$
$$
\frac{185}{37} = 5 \Rightarrow 5 \text{ cupcakes per person}
$$
$$
\frac{414}{9} = 46 \Rightarrow 46 \text{ miles per hour}
$$
$$
\frac{81}{18} = 4.5 \Rightarrow 4.5 \text{ liters per bottle}
$$
$$
\frac{210}{35} = 6 \Rightarrow 6 \text{ waves per minute}
$$
$$
\frac{195}{13} = 15 \Rightarrow 15 \text{ minutes per mile}
$$
$$
\frac{1054}{17} = 62 \Rightarrow 62 \text{ words per minute}
$$
$$
\frac{850}{34} = 25 \Rightarrow 25 \text{ sheets per pack}
$$
$$
\frac{288}{12} = 24 \Rightarrow \$24 \text{ per month}
$$
$$
\frac{3780}{9} = 420 \Rightarrow 420 \text{ square feet per tin}
$$
$$
\frac{780}{15} = 52 \Rightarrow 52 \text{ candies per bag}
$$
$$
\frac{360}{15} = 24 \Rightarrow 24 \text{ bulbs per pack}
$$
$$
\frac{184}{23} = 8 \Rightarrow 8 \text{ cups per jug}
$$
$$
\frac{384}{32} = 12 \Rightarrow 12 \text{ pens per pack}
$$
$$
\frac{900}{36} = 25 \Rightarrow 25 \text{ yards per length}
$$
$$
\frac{27}{18} = 1.5 \Rightarrow 1.5 \text{ volts per battery}
$$
$$
\frac{171}{38} = 4.5 \Rightarrow 4.5 \text{ questions per minute}
$$
$$
\frac{448}{28} = 16 \Rightarrow 16 \text{ crosswords per book}
$$
$$
\frac{245}{35} = 7 \Rightarrow 7 \text{ oz sugar per cake}
$$
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| Problem | Unit Rate |
|--------|-----------|
| 1) | $32 per ticket |
| 2) | 42 pages per hour |
| 3) | 5 cupcakes per person |
| 4) | 46 miles per hour |
| 5) | 4.5 liters per bottle |
| 6) | 6 waves per minute |
| 7) | 15 minutes per mile |
| 8) | 62 words per minute |
| 9) | 25 sheets per pack |
| 10) | $24 per month |
| 11) | 420 square feet per tin |
| 12) | 52 candies per bag |
| 13) | 24 bulbs per pack |
| 14) | 8 cups per jug |
| 15) | 12 pens per pack |
| 16) | 25 yards per length |
| 17) | 1.5 volts per battery |
| 18) | 4.5 questions per minute |
| 19) | 16 crosswords per book |
| 20) | 7 oz sugar per cake |
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Let me know if you'd like this formatted as a printable sheet or need explanations for any specific problem!
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1) $192 for 6 tickets
$$
\frac{192}{6} = 32 \Rightarrow \$32 \text{ per ticket}
$$
2) 252 pages in 6 hours
$$
\frac{252}{6} = 42 \Rightarrow 42 \text{ pages per hour}
$$
3) 185 cupcakes between 37 people
$$
\frac{185}{37} = 5 \Rightarrow 5 \text{ cupcakes per person}
$$
4) 414 miles in 9 hours
$$
\frac{414}{9} = 46 \Rightarrow 46 \text{ miles per hour}
$$
5) 81 liters in 18 bottles
$$
\frac{81}{18} = 4.5 \Rightarrow 4.5 \text{ liters per bottle}
$$
6) 210 waves in 35 minutes
$$
\frac{210}{35} = 6 \Rightarrow 6 \text{ waves per minute}
$$
7) 195 minutes to walk 13 miles
$$
\frac{195}{13} = 15 \Rightarrow 15 \text{ minutes per mile}
$$
8) 1054 words in 17 minutes
$$
\frac{1054}{17} = 62 \Rightarrow 62 \text{ words per minute}
$$
9) 850 sheets in 34 packs
$$
\frac{850}{34} = 25 \Rightarrow 25 \text{ sheets per pack}
$$
10) $288 for 12 month subscription
$$
\frac{288}{12} = 24 \Rightarrow \$24 \text{ per month}
$$
11) 9 tins of paint cover 3780 square feet
$$
\frac{3780}{9} = 420 \Rightarrow 420 \text{ square feet per tin}
$$
12) 15 bags of M&Ms have 780 candies
$$
\frac{780}{15} = 52 \Rightarrow 52 \text{ candies per bag}
$$
13) 360 bulbs in 15 packs
$$
\frac{360}{15} = 24 \Rightarrow 24 \text{ bulbs per pack}
$$
14) 23 jugs fill 184 cups
$$
\frac{184}{23} = 8 \Rightarrow 8 \text{ cups per jug}
$$
15) 384 pens in 32 packs
$$
\frac{384}{32} = 12 \Rightarrow 12 \text{ pens per pack}
$$
16) 900 yards in 36 lengths of a pool
$$
\frac{900}{36} = 25 \Rightarrow 25 \text{ yards per length}
$$
17) 27 volts in 18 batteries
$$
\frac{27}{18} = 1.5 \Rightarrow 1.5 \text{ volts per battery}
$$
18) 171 questions in 38 minutes
$$
\frac{171}{38} = 4.5 \Rightarrow 4.5 \text{ questions per minute}
$$
19) 448 crosswords in 28 puzzle books
$$
\frac{448}{28} = 16 \Rightarrow 16 \text{ crosswords per book}
$$
20) 245 oz sugar in 35 cakes
$$
\frac{245}{35} = 7 \Rightarrow 7 \text{ oz sugar per cake}
$$
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✔ Final Answers:
| Problem | Unit Rate |
|--------|-----------|
| 1) | $32 per ticket |
| 2) | 42 pages per hour |
| 3) | 5 cupcakes per person |
| 4) | 46 miles per hour |
| 5) | 4.5 liters per bottle |
| 6) | 6 waves per minute |
| 7) | 15 minutes per mile |
| 8) | 62 words per minute |
| 9) | 25 sheets per pack |
| 10) | $24 per month |
| 11) | 420 square feet per tin |
| 12) | 52 candies per bag |
| 13) | 24 bulbs per pack |
| 14) | 8 cups per jug |
| 15) | 12 pens per pack |
| 16) | 25 yards per length |
| 17) | 1.5 volts per battery |
| 18) | 4.5 questions per minute |
| 19) | 16 crosswords per book |
| 20) | 7 oz sugar per cake |
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Let me know if you'd like this formatted as a printable sheet or need explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of rate word problems worksheet.