Multi-Step Problems with Decimals and Fractions: Sample FAST Questions
Students solve multi-step real-world problems using any of the four operations with positive decimals or positive fractions, including mixed numbers. These are word problems that require planning, like calculating a total grocery bill with several items or figuring out how much fabric is left after cutting several pieces.
How the FAST tests this benchmark
The FAST presents these as word problems answered through the equation editor or multiple choice, often requiring two or more operations to reach the final answer.
Skills students need
Solve multi-step real-world problems with decimals
Solve multi-step real-world problems with fractions
Try 4 real MA.6.NSO.2.3 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
A class has 28 students. 73 of them brought lunch from home. How many students did NOT bring lunch from home?
Correct answer: D. 16
This explanation shows one way to solve the problem.
Find how many brought lunch: 73 of 28 means 73×28. First find 71 of 28 by dividing: 28÷7=4. Then multiply by 3: 4×3=12 students brought lunch
Subtract from the total: 28−12=16 students did NOT bring lunch from home
Final Answer
16
Question 2MediumEquation Editor
A wall is 865 feet tall. A shelf is mounted at 331 feet from the floor. What is the distance from the shelf to the ceiling?
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 521
This explanation shows one way to solve the problem.
Convert to improper fractions: 865:8×6=48, plus 5=53, so 653.331:3×3=9, plus 1=10, so 310
Find a common denominator: The LCD of 6 and 3 is 6. Convert 310 to sixths: 310=620
Subtract: 653−620=633
Simplify: 633=211. Convert to a mixed number: 11÷2=5 remainder 1, so 211=521 feet
Final Answer
521
Question 3MediumMultiple Choice
Jake spends $5.40 on lunch each weekday for a full work week (5 days). He also leaves a total tip of $1.75 for the week. What is his total weekly lunch cost?
Correct answer: B. $28.75
This explanation shows one way to solve the problem.
Calculate lunch cost for 5 days: 5×$5.40=$27.00
Add tip: $27.00+$1.75=$28.75
Final Answer
$28.75
Question 4HardMultiple Choice
A bakery sells cupcakes for $3.75 each. They made 48 cupcakes, but 5 were unsellable. The cost to make all 48 cupcakes was $86.40. What is the bakery's profit?
Correct answer: C. $74.85
This explanation shows one way to solve the problem.
Find the number of cupcakes sold: 48−5=43 cupcakes
Calculate revenue: 43×$3.75=$161.25
Calculate profit: $161.25−$86.40=$74.85
Final Answer
$74.85
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