Solved Exercises on Measurement Word Problems in Grade 2

Master measurement word problems: length, weight, and capacity calculations through these 3 detailed exercises.

Solution: Exercises 1 to 3
1 Length Problem
Exercise 1
Sarah has a red ribbon that is 12 inches long. She cuts off 5 inches. How long is the remaining ribbon?
Definition:

Length word problems: Measure distances or lengths of objects using standard units like inches, feet, centimeters, meters.

Solution method:
  1. Identify the initial length
  2. Identify the amount subtracted
  3. Subtract to find the remaining length
Initial Length
12 inches
Cut Off
5 inches
Remaining
12 - 5 = 7 inches
Step 1: Identify initial length

Sarah starts with a ribbon that is 12 inches long

Step 2: Identify amount cut off

She cuts off 5 inches from the ribbon

Step 3: Calculate remaining length

Subtract the cut portion from the initial length: 12 - 5 = 7 inches

The remaining ribbon is 7 inches long
Final answer:

The remaining ribbon is 7 inches long

Applied rules:

• Subtraction: When measuring what remains after cutting or removing

• Units: Keep the same unit (inches) in the final answer

• Word identification: "remaining" indicates subtraction

2 Weight Problem
Exercise 2
A bag of apples weighs 8 pounds. Another bag weighs 5 pounds. What is the total weight of both bags?
Definition:

Weight word problems: Compare or combine weights of objects using standard units like pounds, ounces, grams, kilograms.

Bag 1 Weight
8 pounds
Bag 2 Weight
5 pounds
Total Weight
8 + 5 = 13 pounds
Step 1: Identify first weight

First bag of apples weighs 8 pounds

Step 2: Identify second weight

Second bag of apples weighs 5 pounds

Step 3: Calculate total weight

Add the two weights together: 8 + 5 = 13 pounds

Both bags weigh 13 pounds together
Final answer:

Both bags weigh 13 pounds together

Applied rules:

• Addition: When combining weights or finding totals

• Units: Keep the same unit (pounds) in the final answer

• Word identification: "total" indicates addition

3 Capacity Problem
Exercise 3
A jug holds 6 cups of water. Tom pours out 2 cups. How many cups are left in the jug?
Definition:

Capacity word problems: Measure liquid volume using standard units like cups, pints, quarts, gallons, liters.

Initial Capacity
6 cups
Poured Out
2 cups
Remaining
6 - 2 = 4 cups
Step 1: Identify initial capacity

The jug initially holds 6 cups of water

Step 2: Identify amount poured out

Tom pours out 2 cups of water

Step 3: Calculate remaining capacity

Subtract the poured amount from initial capacity: 6 - 2 = 4 cups

There are 4 cups of water left in the jug
Final answer:

There are 4 cups of water left in the jug

Applied rules:

• Subtraction: When measuring what remains after pouring or removing

• Units: Keep the same unit (cups) in the final answer

• Word identification: "left" indicates subtraction

Measurement Units & Conversion
📏
Length
inches, feet
⚖️
Weight
ounces, pounds
💧
Capacity
cups, pints
Length
inches, feet, yards
Weight
ounces, pounds
Capacity
cups, pints, quarts
Key definitions:

Length: Distance from one end to another

Weight: How heavy an object is

Capacity: How much a container can hold

Problem-solving steps:
  1. Read carefully: Identify what is being measured (length, weight, or capacity)
  2. Find key numbers: Locate the measurements in the problem
  3. Identify operation: Look for keywords like "more", "less", "total", "remaining"
  4. Solve: Perform the calculation with the correct units
Tip 1: Draw pictures to visualize the problem.
Tip 2: Look for keywords: "total" means add, "left" or "remaining" means subtract.
Tip 3: Always include the unit in your answer (inches, pounds, cups).
Common keywords: "altogether", "combined", "sum" for addition; "difference", "how many more", "how many less" for subtraction.
Measurement Concepts & Strategies
Length + Length = Total Length
Addition of Measurements
Initial Amount - Removed Amount = Remaining Amount
Subtraction of Measurements
Length Units
1 foot = 12 inches
Standard US unit conversion
Weight Units
1 pound = 16 ounces
Standard US unit conversion
Capacity Units
1 pint = 2 cups
Standard US unit conversion
Important rules:

• Always identify the type of measurement (length, weight, capacity)

• Pay attention to the units and keep them consistent

• Look for keywords that indicate the operation needed

• Draw diagrams to help visualize the problem

• Check that your answer makes sense in the context of the problem

Keywords and Problem-Solving Strategies
Read → Identify → Solve → Check
Problem-Solving Process
Addition keywords:

Total: Combined amount of multiple items

Altogether: Sum of all parts

Combined: Put together

Sum: Result of adding

Subtraction keywords:

Left: Remaining amount

Remaining: What stays after removal

How many more: Difference between amounts

Take away: Remove a quantity

Step-by-step approach:
  1. Read the problem: Understand what is happening
  2. Identify the measurement type: Length, weight, or capacity
  3. Find the numbers: Locate the measurements in the problem
  4. Determine the operation: Addition or subtraction
  5. Solve: Perform the calculation
  6. Check: Does the answer make sense?
Tip 1: Draw a picture or use objects to model the problem.
Tip 2: Write down the important numbers and units.
Tip 3: Always label your answer with the correct unit.
Tip 4: Ask yourself: "Does my answer make sense?"
Common mistakes: Forgetting units, misreading the problem, using wrong operation.
Success strategies: Read twice, draw diagrams, check work.

Questions & Answers

Question: I have trouble knowing whether to add or subtract in measurement word problems. How do I figure out which operation to use?

Answer: Great question! The key is to look for specific keywords in the problem:

  • Addition words: "total", "altogether", "combined", "sum", "in all", "both"
  • Subtraction words: "left", "remaining", "how many more", "how many less", "take away", "difference"

Also consider the situation:

  • If things are being put together or combined → add
  • If something is being taken away or comparing differences → subtract

Example: "Sarah had 10 inches of ribbon and got 3 more" → ADD (10 + 3)

Example: "Tom had 12 inches of ribbon and cut off 4 inches" → SUBTRACT (12 - 4)

Question: My child struggles with measurement word problems. What visual strategies can help them understand better?

Answer: Visual strategies are very effective for young learners:

  • Draw pictures: Have your child sketch the objects being measured
  • Use real objects: Practice with actual rulers, measuring cups, or balance scales
  • Create diagrams: Draw bars or boxes to represent quantities
  • Act out problems: Use manipulatives like blocks or counters

For example, if the problem says "a jug has 6 cups and 2 are poured out," draw a rectangle labeled "6 cups" and cross out 2 parts to show the subtraction visually.

These concrete representations help children connect abstract numbers to real-world situations.

Question: Why do I need to write the unit (like inches or pounds) in my answer?

Answer: Units are very important because they tell us what we're measuring! Without units, numbers don't make sense in real life.

For example, if your answer is just "7" without units, it could mean 7 inches, 7 pounds, or 7 cups - those are completely different things!

Units help us:

  • Understand the context of our answer
  • Make sure our answer is reasonable
  • Communicate our solution clearly
  • Connect math to real-world situations

Always include the unit that was used in the problem (inches, pounds, cups, etc.) in your final answer!