One-Step Word Problems: Complete Problem Set for Grade 1

Master mathematical thinking through one-step word problems: pattern recognition, logical reasoning, problem-solving strategies, number relationships, and spatial reasoning.

Solution: Problems 1 to 3
1 Addition Word Problem
Problem 1
Sarah has 3 apples. Her mom gives her 2 more apples.
How many apples does Sarah have now? Show your work.
Definition:

One-Step Word Problem: A mathematical problem that requires only one operation (addition, subtraction, multiplication, or division) to solve.

One-Step Problem Method:
  1. Read the problem carefully
  2. Identify what is given and what is asked
  3. Find the key words that tell you which operation to use
  4. Solve the problem using one operation
Initial Amount
3 apples
Added Amount
+2 apples
Total
5 apples
Step 1: Identify what Sarah starts with

Sarah has 3 apples initially

Step 2: Identify what is added

Her mom gives her 2 more apples

Step 3: Identify the operation needed

Keywords: "gives her" and "more" suggest addition

Step 4: Solve using one operation

3 + 2 = 5

Step 5: State the final answer

Sarah now has 5 apples

Sarah has 5 apples now
Final answer:

Sarah has 5 apples now (3 + 2 = 5)

Applied rules:

• Key Words: "more" indicates addition

• Single Operation: Only one step needed to solve

• Combine Quantities: Adding combines two groups

Tip 1: Look for words like "more," "total," "altogether," "added to."
Tip 2: Draw pictures to help visualize the problem.
2 Subtraction Word Problem
Problem 2
Tom has 7 cookies. He eats 3 cookies.
How many cookies does Tom have left? Show your work.
Definition:

Subtraction Word Problem: A problem that involves taking away or finding how many are left.

Initial Amount
7 cookies
Amount Taken Away
-3 cookies
Remaining
4 cookies
Step 1: Identify what Tom starts with

Tom has 7 cookies initially

Step 2: Identify what is taken away

He eats 3 cookies

Step 3: Identify the operation needed

Keywords: "eats" and "left" suggest subtraction

Step 4: Solve using one operation

7 - 3 = 4

Step 5: State the final answer

Tom has 4 cookies left

Tom has 4 cookies left
Final answer:

Tom has 4 cookies left (7 - 3 = 4)

Applied rules:

• Key Words: "eats," "left," "takes away" indicate subtraction

• Single Operation: Only one step needed to solve

• Take Away: Subtraction shows how many remain

Tip 1: Look for words like "left," "remaining," "takes away," "eats," "gave away."
Tip 2: Think: "How many are left after taking some away?"
3 Comparison Word Problem
Problem 3
Anna has 5 fish. Ben has 3 fish.
How many more fish does Anna have than Ben? Show your work.
Definition:

Comparison Word Problem: A problem that asks for the difference between two quantities.

Anna's Fish
5 fish
Ben's Fish
3 fish
Difference
5 - 3 = 2
Step 1: Identify Anna's amount

Anna has 5 fish

Step 2: Identify Ben's amount

Ben has 3 fish

Step 3: Identify what is being asked

How many more fish does Anna have than Ben?

Step 4: Identify the operation needed

Keywords: "how many more" suggests subtraction

Step 5: Solve using one operation

5 - 3 = 2

Anna has 2 more fish than Ben
Final answer:

Anna has 2 more fish than Ben (5 - 3 = 2)

Applied rules:

• Key Words: "how many more," "difference," "than" indicate subtraction

• Single Operation: Only one step needed to solve

• Compare Quantities: Find the difference between two amounts

Tip 1: Look for words like "more than," "less than," "difference," "how many more."
Tip 2: The bigger number goes first in the subtraction.

One-Step Word Problems Concepts and Methods
Word Problem = Given + Question + Operation + Answer
Word Problem Structure
Problem-Solving Steps
Read → Identify → Choose → Solve → Check
5-step method
Addition Keywords
more, total, altogether, combined, added to
Plus operations
Subtraction Keywords
left, remaining, difference, less, takes away
Minus operations
Key Definitions:

One-Step Word Problem: A mathematical problem that requires only one operation to solve

Addition: Combining quantities to find a total

Subtraction: Taking away or finding the difference

One-Step Problem Solving Process:
  1. Read: Carefully read the entire problem
  2. Identify: Find what is given and what is asked
  3. Choose: Select the correct operation based on keywords
  4. Solve: Perform the single operation
  5. Check: Verify if the answer makes sense
Tip 1: Circle or underline the question part of the problem.
Tip 2: Draw a picture or use objects to visualize the problem.
Tip 3: Ask yourself: "Am I putting things together or taking some away?"
Common Keywords for Addition: more, total, altogether, combined, in all, plus, added to.
Common Keywords for Subtraction: left, remaining, difference, less, fewer, take away, gave away.
Essential Problem-Solving Rules:

• Read Carefully: Understand the problem before solving

• Find Key Words: Identify operation clues in the text

• One Operation Only: One-step problems require only one calculation

• Check Your Answer: Make sure it fits the story

Solution: Problems 4 to 5
4 Combination Word Problem
Problem 4
There are 4 red apples and 3 green apples in a basket.
How many apples are in the basket altogether? Show your work.
Definition:

Combination Word Problem: A problem that combines two or more groups of the same type.

Red Apples
4 apples
Green Apples
3 apples
Total Apples
7 apples
Step 1: Identify the first group

There are 4 red apples

Step 2: Identify the second group

There are 3 green apples

Step 3: Identify what is being asked

How many apples altogether?

Step 4: Identify the operation needed

Keywords: "altogether" suggests addition

Step 5: Solve using one operation

4 + 3 = 7

Step 6: State the final answer

There are 7 apples in the basket altogether

There are 7 apples altogether
Final answer:

There are 7 apples in the basket altogether (4 + 3 = 7)

Applied rules:

• Key Words: "altogether" indicates addition

• Combine Groups: Add different groups of the same thing

• Single Operation: Only one step needed to solve

Tip 1: Look for words like "altogether," "total," "combined," "in all."
Tip 2: Both groups are apples, so we add them together.

5 Remaining Word Problem
Problem 5
Jake had 6 toy cars. He gave 2 toy cars to his friend.
How many toy cars does Jake have now? Show your work.
Definition:

Remaining Word Problem: A problem that asks how many are left after some are taken away.

Initial Cars
6 cars
Cars Given Away
-2 cars
Remaining Cars
4 cars
Step 1: Identify what Jake started with

Jake had 6 toy cars initially

Step 2: Identify what was taken away

He gave 2 toy cars to his friend

Step 3: Identify what is being asked

How many toy cars does Jake have now?

Step 4: Identify the operation needed

Keywords: "gave" and "now" suggest subtraction

Step 5: Solve using one operation

6 - 2 = 4

Step 6: State the final answer

Jake has 4 toy cars now

Jake has 4 toy cars now
Final answer:

Jake has 4 toy cars now (6 - 2 = 4)

Applied rules:

• Key Words: "gave" and "now" indicate subtraction

• Take Away: Shows how many remain after giving some away

• Single Operation: Only one step needed to solve

Tip 1: Look for words like "gave," "sent," "shared," "left," "remaining."
Tip 2: Start with the bigger number and subtract the smaller.

One-Step Word Problems Summary
Problem = Given + Question + Operation + Answer
Problem Structure
Key definitions:

One-Step Word Problem: A mathematical problem that requires only one operation to solve

Addition: Combining quantities to find a total

Subtraction: Taking away or finding the difference

Comparison: Finding how much more or less one quantity is than another

Combination: Joining different groups of the same type

Remaining: Finding how many are left after some are taken away

Complete One-Step Problem Methodology:
  1. Read: Carefully read the entire problem sentence by sentence
  2. Identify: Find what information is given and what is being asked
  3. Choose: Select the correct operation based on keyword clues
  4. Solve: Perform the single operation to get the answer
  5. Check: Verify if the answer makes sense in the context
Tip 1: Always read the problem twice to make sure you understand it completely.
Tip 2: Use drawings, counters, or physical objects to help visualize the problem.
Tip 3: Look for keywords that indicate operations (more, total, altogether = addition).
Tip 4: Ask yourself: "Does my answer make sense?" after solving.
Addition Keywords: more, total, altogether, combined, in all, plus, added to, increased by, both, sum.
Subtraction Keywords: left, remaining, difference, less, fewer, take away, gave away, spent, decreased by.
One-Step Word Problem Rules:

• Only One Operation: These problems require exactly one calculation

• Keyword Clues: Words in the problem indicate which operation to use

• Context Matters: The answer should make sense in the real-world situation

• Check Your Work: Always verify that your solution fits the problem

Thinking = Read + Identify + Operate + Verify
Problem-Solving Formula
Problem Type
Addition
Put together/combine
Problem Type
Subtraction
Take away/find difference
Problem Type
Comparison
How much more/less
Grade 1 Word Problem Concepts:

• Number Sense: Understanding quantity, counting, and number relationships

• Operations: Addition and subtraction within 10 or 20

• Real-World Context: Problems involving familiar objects and situations

• Simple Language: Clear, straightforward wording appropriate for Grade 1

• Visual Support: Pictures and diagrams help understand the problem

Advanced Problem-Solving Techniques:
  1. Draw a Picture: Visualize the problem with diagrams
  2. Use Objects: Count with manipulatives like blocks or counters
  3. Act it Out: Use role-playing to understand the situation
  4. Count On: For addition, start with the first number and count up
  5. Count Back: For subtraction, start with the first number and count down
Common Mistakes to Avoid:

• Wrong Operation: Choosing addition when it should be subtraction (or vice versa)

• Rushing Through: Not reading the problem carefully enough

• Missing Details: Skipping important information in the problem

• Not Checking: Forgetting to verify if the answer makes sense

• Wrong Order: Subtracting the wrong way (larger minus smaller vs. smaller minus larger)

Memory Tip 1: "ADD MORE" - Addition adds more to what you have.
Memory Tip 2: "SUBTRACT LESS" - Subtraction takes away and leaves less.
Memory Tip 3: "KEYWORDS COUNT" - Pay attention to action words in the problem.

Questions & Answers

Question: I don't understand how to know if I should add or subtract in word problems. The words all seem the same to me. Can you help me figure out the difference?

Answer: Great question! Here's how to tell the difference:

  • Addition words: "more," "total," "altogether," "in all," "plus," "combined," "both"
  • Subtraction words: "left," "remaining," "take away," "gave away," "less," "fewer," "spend"
  • Think about the story: Are things being put together (add)? Or are things being taken away (subtract)?

Examples: "I have 3 apples and get 2 more" → ADDITION (3 + 2)

"I have 5 cookies and eat 2" → SUBTRACTION (5 - 2)

Tips: Draw pictures of the problem or use your fingers to act it out!

Question: Sometimes I solve the problem but my answer doesn't make sense. How can I check if I got the right answer?

Answer: Checking your answer is super important! Here are ways to verify:

  • Does it fit the story?: If you started with 5 apples and ate 2, you can't end up with 10 apples!
  • Work backwards: If you added, try subtracting to see if you get back to the starting number
  • Use objects: Count out actual items to verify your answer
  • Estimate first: Should the answer be bigger (addition) or smaller (subtraction)?

Example: If you solved "5 + 3 = 8", check by doing "8 - 3 = 5" or "8 - 5 = 3".

Always ask: "Is this answer reasonable for this problem?"

Question: I get confused when word problems have extra information. How do I know what numbers to use?

Answer: This is a common challenge! Here's how to focus on what matters:

  • Find the question: Read the last sentence first - it tells you what to find
  • Circle the numbers: Highlight all the numbers in the problem
  • Connect to the question: Which numbers help answer the specific question?
  • Ignore extras: Some details are just there to make the story more interesting

Example: "Sarah has 4 red apples and 3 green apples. She gives 1 apple to her brother. How many apples does Sarah have left?"

Focus on: 4 + 3 = 7 total apples, then 7 - 1 = 6 apples left.

The color detail wasn't needed for the calculation!