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Build your own math worksheets from 21,000 problems for grades 3 to 12, from fractions to calculus. Every problem includes step-by-step solutions.

One-step word problems

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5381933
The pie chart shows students' pet preferences. Which pet was named most often, and how many students chose it?
Figure for problem 538193

Hints

- Match each slice to its label. - Find the largest slice. - Read the number inside that slice.

Solution

1. The largest slice belongs to cats. 2. The number inside that slice is \(12\).

Answer

Cats were named most often, by \(12\) students.
5381953
Which two colors have equal-sized slices?
Figure for problem 538195

Hints

- Match each slice to its color label. - Compare the numbers in the slices. - Look for two equal values.

Solution

1. Red has a value of \(9\). 2. Green also has a value of \(9\). 3. Equal values make equal-sized slices.

Answer

Red and green have equal-sized slices.
5161843
Mia wants to buy a new game. She saves \(\$7\) from her allowance each week. How much money has she saved after \(9\) weeks?

Hints

- What amount does Mia save each week? - Which operation can you use when the same amount is added each week? - Use a multiplication fact with \(7\) and \(9\).

Solution

1. Mia saves the same amount each week. 2. Multiply: \(\$7 \times 9 = \$63\).

Answer

Mia has saved \(\$63\) after \(9\) weeks.
5161853
Ms. Green''s class is training for a charity run. From Monday through Friday, the students practice for \(35\) minutes each day. How many minutes do they practice altogether during the school week?

Hints

- How many school days are there from Monday through Friday? - How many times is the \(35\)-minute practice repeated? - You can break \(35\) into tens and ones to multiply.

Solution

1. There are \(5\) practice days from Monday through Friday. 2. Multiply: \(35 \times 5 = 175\).

Answer

The students practice for \(175\) minutes altogether.
5162633
An elementary school orders new equipment for recess. a) The school receives \(5\) bags with \(30\) tennis balls in each bag. How many tennis balls are there altogether? b) The school also receives \(120\) table tennis balls. They are shared equally among \(3\) bins. How many balls go in each bin?

Hints

- In a), decide whether equal groups call for multiplication or division. - In b), the words “shared equally” point to division. - Use the basic facts inside the larger numbers.

Solution

1. For a), multiply the number of bags by the number of balls in each bag: \(5 \times 30 = 150\). 2. For b), divide the total number of balls equally among the bins: \(120 \div 3 = 40\).

Answer

a) There are \(150\) tennis balls altogether. b) Each bin holds \(40\) table tennis balls.
5176403
A teacher distributes \(32\) scissors equally among \(8\) group tables. Write a mathematical question that fits the situation, and solve it.

Hints

- Think about what you could ask about one table. - The scissors are shared equally. - Which operation is used to split a total into equal groups?

Solution

1. One possible question is, “How many scissors are placed at each table?” 2. Divide equally: \(32 \div 8 = 4\).

Answer

Question: “How many scissors are placed at each table?” Answer: Each table gets \(4\) scissors.
5182363
A baker uses \(7\,\text{kg}\) of flour on a typical workday and has bought \(56\,\text{kg}\) of flour for a large order. Write a question that can be answered using division, and solve it.

Hints

- Think about what can be found from a total amount and an amount used each day. - Which operation shows how many groups of \(7\) are in \(56\)? - Use a related multiplication fact with \(7\).

Solution

1. One possible question is, “For how many typical workdays will the flour last?” 2. Divide the total amount by the daily amount: \(56 \div 7 = 8\).

Answer

Question: “For how many typical workdays will the flour last?” Answer: The flour will last for \(8\) days.
5198943
Leah uses \(2\) cups of apple juice for each batch of fruit punch. Tom uses \(3\) cups for each batch. How many cups of apple juice does each person use to make \(3\) batches?

Hints

- Each person makes \(3\) equal batches. - Multiply the amount for one batch by \(3\). - Calculate each person's amount separately.

Solution

1. Leah uses \(3 \times 2 = 6\) cups of apple juice. 2. Tom uses \(3 \times 3 = 9\) cups of apple juice.

Answer

Leah uses \(6\) cups of apple juice, and Tom uses \(9\) cups.
5211863
Leah has \(32\) trading cards. She wants to share them equally among \(4\) friends. Leah says, “Each of you will get \(9\) cards.” Is Leah correct? Explain with an equation.

Hints

- Use a related multiplication fact to check the claim. - If \(32\) cards are split into \(4\) equal groups, how many cards are in each group? - What is \(4 \times 9\)? - How many cards would Leah need for each friend to receive \(9\)?

Solution

1. Divide the total number of cards by the number of friends: \(32 \div 4 = 8\). 2. Leah’s claim would require \(4 \times 9 = 36\) cards. 3. Because she has only \(32\) cards, Leah is not correct. Each friend gets \(8\) cards.

Answer

No. Each friend gets \(8\) cards because \(32 \div 4 = 8\).
5213823
Each package contains \(12\) markers. How many markers are in \(5\) packages?

Hints

- The same number of markers appears in each package. - You can use repeated addition or break \(12\) into \(10 + 2\).

Solution

1. Multiply the number in each package by the number of packages: \(12 \times 5 = 60\).

Answer

There are \(60\) markers in \(5\) packages.
5373963
There are \(42\) muffins on a tray. Nine muffins are already decorated with red icing. Write a mathematical question that fits the situation, and answer it.
Figure for problem 537396

Hints

- Use both the total number and the number already decorated. - Think of a question that can be answered by subtraction.

Solution

1. One possible question is, “How many muffins are not decorated yet?” 2. Subtract: \(42 - 9 = 33\).

Answer

Example question: “How many muffins are not decorated yet?” Answer: \(33\) muffins are not decorated yet.
5381223
The graph shows how much water is in a rain barrel on four days. The goal for Thursday is \(70\,\text{gal}\). How many more gallons are needed?
Figure for problem 538122

Hints

- Read the Thursday value from the graph. - Compare that value with the goal. - Subtract to find how much is still needed.

Solution

1. The Thursday bar shows \(40\,\text{gal}\). 2. The amount still needed is \(70 - 40 = 30\,\text{gal}\).

Answer

\(30\,\text{gal}\) more are needed.
5381313
Team Beaver wants to have the same number of research points as Team Otter. How many more points does Team Beaver need?
Figure for problem 538131

Hints

- Read the two team scores from the graph. - Find the difference between the scores. - Check that adding your answer to Team Beaver's score makes the scores equal.

Solution

1. Team Beaver has \(15\) points, and Team Otter has \(20\) points. 2. The number needed is \(20 - 15 = 5\) points.

Answer

Team Beaver needs \(5\) more points.
5381343
The scale increases by tens. How many minutes of practice were recorded on Tuesday and Thursday altogether?
Figure for problem 538134

Hints

- Read the Tuesday and Thursday bars. - Remember that the scale increases by \(10\). - Add the two values.

Solution

1. Tuesday shows \(40\) minutes, and Thursday shows \(50\) minutes. 2. Altogether, \(40 + 50 = 90\,\text{min}\).

Answer

\(90\,\text{min}\) of practice were recorded altogether.
5381493
The graph shows the number of open lounge chairs at a public pool. How did the number change from \(8{:}00\) a.m. to \(4{:}00\) p.m.?
Figure for problem 538149

Hints

- Read the first and last times named in the question. - Subtract the earlier value from the later value. - State whether the number increased or decreased.

Solution

1. At \(8{:}00\) a.m., \(10\) chairs are open. At \(4{:}00\) p.m., \(15\) chairs are open. 2. The change is \(15 - 10 = 5\) chairs, an increase.

Answer

At \(4{:}00\) p.m., there are \(5\) more open chairs than at \(8{:}00\) a.m.
5381503
On which two days were the same number of pool tickets sold?
Figure for problem 538150

Hints

- Read the value of each bar. - Look for two bars with the same height. - Name both matching days.

Solution

1. The Tuesday and Thursday bars both have a value of \(15\). 2. The other days have different values.

Answer

On Tuesday and Thursday, \(15\) tickets were sold each day.
5381533
At least \(15\) of each kind of supply is needed. Which supplies already have enough in stock?
Figure for problem 538153

Hints

- Read each bar value. - “At least \(15\)” includes exactly \(15\). - Select every supply with a value of \(15\) or more.

Solution

1. Scissors have \(15\), and markers have \(20\), so both meet the requirement. 2. Tape and paintbrushes each have only \(10\), so they do not meet the requirement.

Answer

There are enough scissors and markers.
5381593
How many packages were picked up on Monday, Wednesday, and Friday altogether?
Figure for problem 538159

Hints

- Read only the Monday, Wednesday, and Friday bars. - Add the three values. - Check that your total is greater than each single value.

Solution

1. The three values are \(6\), \(8\), and \(10\). 2. Their sum is \(6 + 8 + 10 = 24\).

Answer

\(24\) packages were picked up altogether.
5381613
The graph shows the lengths of four scooter routes in yards. How much longer is Route \(2\) than Route \(4\)?
Figure for problem 538161

Hints

- Read the lengths of Routes \(2\) and \(4\). - Subtract the shorter route from the longer route. - Include the unit in your answer.

Solution

1. Route \(2\) is \(180\,\text{yd}\) long, and Route \(4\) is \(90\,\text{yd}\) long. 2. The difference is \(180 - 90 = 90\,\text{yd}\).

Answer

Route \(2\) is \(90\,\text{yd}\) longer.
5381753
Which color has exactly the same value in both graphs?
Figure for problem 538175

Hints

- Compare one color at a time. - Read its value in both graphs. - Look for an exact match.

Solution

1. Blue has a value of \(20\) in Graph a). 2. Blue also has a value of \(20\) in Graph b). 3. The other colors have different values in the two graphs.

Answer

Blue has the same value in both graphs.
5381793
Compare Graphs a) and b). 1) Who is in the lead in Graph a)? 2) Who is in the lead in Graph b)? 3) Did the leader change?
Figure for problem 538179

Hints

- Find the tallest bar in each graph. - Match each tallest bar to its team. - Compare the two team names.

Solution

1. In a), Team Owl has the greatest score, \(30\). 2. In b), Team Fox has the greatest score, \(35\). 3. Therefore, the leader changed.

Answer

1) Team Owl leads in Graph a). 2) Team Fox leads in Graph b). 3) Yes, the leader changed.
5381843
The graphs show snails found on three weekdays in two different weeks. How many snails were found on the two Wednesdays altogether?
Figure for problem 538184

Hints

- Find Wednesday in both graphs. - Read the two values. - Add them.

Solution

1. Wednesday has a value of \(15\) in a) and \(25\) in b). 2. Altogether, \(15 + 25 = 40\) snails were found.

Answer

\(40\) snails were found on the two Wednesdays altogether.
5381983
How many votes were cast for fairy tales and nonfiction books altogether?
Figure for problem 538198

Hints

- Read the two needed slice values. - Add the values. - Check that the sum is less than the whole chart total.

Solution

1. Fairy tales received \(11\) votes, and nonfiction books received \(7\) votes. 2. Altogether, \(11 + 7 = 18\) votes were cast.

Answer

\(18\) votes were cast altogether.
5382883
Ferry service: <table><tr><th>Ferry route</th><th>Number of trips</th></tr><tr><td>North</td><td>\(25\)</td></tr><tr><td>South</td><td>\(30\)</td></tr><tr><td>Island</td><td>\(18\)</td></tr><tr><td>Harbor</td><td>\(22\)</td></tr></table> Before the bar graph is drawn, \(7\) more trips are added to the Island route. Give the final height of each bar.

Hints

- Decide which categories belong on the horizontal axis and which values belong on the vertical axis. - Check that each category has one final value.

Solution

1. For the Island route, \(18 + 7 = 25\). 2. The other values stay the same. 3. The final bar heights are \(25\), \(30\), \(25\), and \(22\).

Answer

North: \(25\) South: \(30\) Island: \(25\) Harbor: \(22\)
5382923
Farmers’ market: <table><tr><th>Product</th><th>Units sold</th></tr><tr><td>Eggs</td><td>\(40\)</td></tr><tr><td>Honey</td><td>\(15\)</td></tr><tr><td>Cheese</td><td>\(25\)</td></tr><tr><td>Juice</td><td>\(20\)</td></tr></table> The number of units of honey sold was mistakenly recorded as half the actual amount. What bar heights belong in the corrected graph?

Hints

- If the recorded value is half the actual value, the actual value is twice as large. - Keep the other table values unchanged.

Solution

1. The actual honey value is twice the recorded value: \(2 \times 15 = 30\). 2. The other values stay the same. 3. The corrected bar heights are \(40\), \(30\), \(25\), and \(20\).

Answer

Eggs: \(40\) Honey: \(30\) Cheese: \(25\) Juice: \(20\)
5382933
Water stations: <table><tr><th>Station</th><th>Water bottles distributed</th></tr><tr><td>A</td><td>\(54\)</td></tr><tr><td>B</td><td>\(40\)</td></tr><tr><td>C</td><td>\(35\)</td></tr><tr><td>D</td><td>\(50\)</td></tr></table> For a second bar graph, the value for Station A is divided by \(2\). Give all the new bar heights.

Hints

- Describe the data in your own words first. - Then change only the value named in the question.

Solution

1. The new value for Station A is \(54 \div 2 = 27\). 2. The other values stay the same. 3. The new bar heights are \(27\), \(40\), \(35\), and \(50\).

Answer

A: \(27\) B: \(40\) C: \(35\) D: \(50\)
5381253
A zoo counts visitors at four entrances. Which two entrances have exactly \(40\) visitors altogether?
Figure for problem 538125

Hints

- Write down the four values from the graph. - Test pairs in an organized way. - Check that you found every possible pair.

Solution

1. Read the four values: North: \(15\), South: \(35\), East: \(25\), and West: \(10\). 2. Test pairs. North and East give \(15 + 25 = 40\). 3. No other pair has a total of \(40\).

Answer

The North and East entrances have exactly \(40\) visitors altogether.
5381263
Jonah says, “More loaves of bread were sold on Wednesday than on Tuesday.” Check his statement and correct it.
Figure for problem 538126

Hints

- Read the Tuesday and Wednesday values. - Pay attention to the word “more.” - Subtract to state the corrected comparison exactly.

Solution

1. The graph shows \(15\) loaves on Wednesday and \(18\) loaves on Tuesday. 2. Since \(15 < 18\), Jonah's statement is false. 3. The difference is \(18 - 15 = 3\).

Answer

The statement is false. On Wednesday, \(3\) fewer loaves were sold than on Tuesday.
5381333
Six teams collect bags of recyclables. Which teams collected at least \(10\) bags but no more than \(15\) bags?
Figure for problem 538133

Hints

- Read each team's value from the graph. - “At least \(10\)” includes \(10\). - “No more than \(15\)” includes \(15\).

Solution

1. The values from \(10\) through \(15\), including both endpoints, are \(10\), \(15\), and \(15\). 2. Those values belong to Teams B, C, and F.

Answer

Teams B, C, and F.
5381353
A mystery drink received more votes than cocoa but fewer votes than iced tea. Which drink is it?
Figure for problem 538135

Hints

- Read the cocoa and iced-tea values first. - Look for a value greater than \(15\) but less than \(25\). - Check that only one drink fits both conditions.

Solution

1. Cocoa received \(15\) votes, and iced tea received \(25\) votes. 2. Juice is the only drink between them, with \(20\) votes.

Answer

The mystery drink is juice.
5381403
Mara reads Bar C as \(9\). Explain her error and give the correct value.
Figure for problem 538140

Hints

- First determine how much each tick interval represents. - Match the top of Bar C to a scale value. - Check your reading by counting in fives.

Solution

1. The scale increases by \(5\) at each tick mark, not by \(1\). 2. Bar C ends at the ninth interval above \(0\), so its value is \(9 \times 5 = 45\).

Answer

Mara counted tick intervals instead of scale values. The correct value is \(45\).
5381583
A mystery tree has a bar taller than the spruce bar but shorter than the pine bar. It is also not the shortest bar. Which tree is it?
Figure for problem 538158

Hints

- Read the spruce and pine values. - Look for a bar between those two values. - Check the condition that it is not the shortest bar.

Solution

1. The spruce has a value of \(15\), and the pine has a value of \(25\). 2. The only value between \(15\) and \(25\) is \(20\), which belongs to the fir.

Answer

The mystery tree is the fir.
5381653
Which bar is as tall as two other bars combined?
Figure for problem 538165

Hints

- Write down all four values. - Add possible pairs. - Look for a single bar with the same value as a pair sum.

Solution

1. Bars A and B have a combined value of \(5 + 15 = 20\). 2. Bar C also has a value of \(20\).

Answer

Bar C is as tall as Bars A and B combined.
5382053
Which two smaller slices together are equal in size to the largest slice?
Figure for problem 538205

Hints

- Find the largest slice and read its value. - Add possible pairs of smaller values. - Look for a pair with the same total.

Solution

1. Puzzles is the largest slice, with a value of \(15\). 2. Building and painting have a combined value of \(8 + 7 = 15\). 3. Therefore, those two slices together equal the Puzzles slice.

Answer

Building and painting together are equal in size to puzzles.
5383823
The answer to a question about this table is, “David collected \(5\) more leaves than Alma.” <table><thead><tr><th>Student</th><th>Leaves collected</th></tr></thead><tbody><tr><td>Alma</td><td>\(12\)</td></tr><tr><td>David</td><td>\(17\)</td></tr><tr><td>Kenan</td><td>\(14\)</td></tr></tbody></table> Write a question that matches the answer.

Hints

- Identify the two values used in the answer. - Write a question that asks for their difference.

Solution

1. The answer compares David's \(17\) leaves with Alma's \(12\) leaves. 2. Their difference is \(17 - 12 = 5\).

Answer

One possible question is, “How many more leaves did David collect than Alma?”

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