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Multiplying and Dividing Rational Numbers word Problems

Authored by MONIQUE BIBBS

Mathematics

7th Grade

CCSS covered

Used 120+ times

Multiplying and Dividing Rational Numbers word Problems
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This seventh-grade quiz focuses on multiplying and dividing rational numbers through real-world word problems. Students work with fractions, mixed numbers, and decimals in practical contexts including area calculations, unit rates, proportional reasoning, and multi-step problems involving money, measurement, and time. The questions require students to interpret mathematical language, set up equations, perform operations with rational numbers in various forms, and apply problem-solving strategies to arrive at reasonable answers. Core concepts include converting between fraction and decimal forms, multiplying and dividing fractions and mixed numbers, calculating with negative numbers, finding unit rates, determining areas of rectangles, and working with proportional relationships. Students must demonstrate computational fluency with rational numbers while also showing they can model real-world situations mathematically and reason through multi-step problems that combine different operations. Created by Monique Bibbs, a Mathematics teacher in the US who teaches grade 7. This quiz serves as an excellent tool for formative assessment, allowing teachers to evaluate student understanding of rational number operations in meaningful contexts before moving to more advanced algebraic concepts. The problems work well as warm-up activities to activate prior knowledge, homework assignments that reinforce classroom instruction, or review materials before unit tests. Teachers can use individual questions for targeted practice or assign the entire quiz to assess comprehensive understanding of rational number applications. The variety of contexts—from cooking and shopping to sports and construction—helps students see mathematics as relevant to their daily lives. This assessment aligns with standards 7.NS.A.2 and 7.NS.A.3, which focus on applying properties of operations to add, subtract, multiply, and divide rational numbers, as well as 7.EE.B.3, which addresses solving multi-step real-life mathematical problems using rational numbers.

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26 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Melanie is training for a track meet. She ran 11  and 1/4 miles total, 5 days this week. How far did Melanie run each day? (First, write the problem. Then, solve). 

2  1/4 miles
56  1/4 miles
3 miles
4 miles

Tags

CCSS.5.NF.B.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Alexandra made a rectangular quilt that measured 3 and 1⁄4 feet in length by 2 and 3⁄4 feet in width. What is the area?
Reminder: to find the area, multiply the length and width. 

8 and 15⁄16 square feet
8 and 5⁄6 square feet
8 and 10⁄12 square feet

Tags

CCSS.5.NF.B.4B

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A grocery store sells chicken for $3.30 per pound. What would be the cost of 2 1/2 pounds of chicken?

$8.00

$8.25

$82.50

$0.80

Tags

CCSS.6.NS.B.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A team of workers took 225.5 hours to complete a task. A smaller team of workers will complete the same task, but it will take them 1.5 times as long as it took the first team. How long will it take the smaller team to complete the job?

338.25 hours

3382.50 hours

33.82 hours

400 hours

Tags

CCSS.7.EE.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A puppy weighed 1.2 lbs at birth. At the end of 8 months the puppy weighed 10 3/4 times its birth weight.How many pounds did the puppy weigh at the end of 8 months?

9.6 pounds

86 pounds

12.9 pounds

64 pounds

Tags

CCSS.5.NBT.B.7

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The candy store sells candy for $11.50 per pound. Julie buys 4 1/5 pounds of candy. How much was her total cost?

$2.73

$7.30

$44.00

$48.30

Tags

CCSS.7.EE.B.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A recipe for cake requires 1/3 cup of milk. Molly wants to make 4/5 of the recipe. How many cups of milk should Molly use to make the cake?

4/15

5/12

1/5

6/8

Tags

CCSS.5.NF.B.6

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