Aimathic – One-step word problems

One-step word problems

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Difficulty: 1 – 5

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 do $9$ minutes of sprint practice each day. How many minutes of sprint practice do they do altogether during the school week?

Hints

- Count the school days from Monday through Friday. - The same number of minutes is repeated each day. - Represent the equal daily amounts with multiplication.

Solution

1. There are $5$ practice days from Monday through Friday. 2. Multiply the equal daily amounts: $5 \times 9 = 45$.

Answer

The students do $45$ minutes of sprint practice altogether.

5213823

Each package contains $8$ markers. How many markers are in $5$ packages?

Hints

- The same number of markers is in every package. - Decide whether equal groups call for addition, subtraction, multiplication, or division. - Use a multiplication fact you know.

Solution

1. Multiply the number of markers in each package by the number of packages: $8 \times 5 = 40$.

Answer

There are $40$ markers in $5$ packages.

5162633

An elementary school orders new equipment for recess. a) The school receives $5$ bags with $8$ tennis balls in each bag. How many tennis balls are there altogether? b) The school also receives $24$ table tennis balls. They are shared equally among $3$ bins. How many balls go in each bin?

Hints

- In a), find the number of equal groups and the amount in each group. - In b), decide what “shared equally among $3$ bins” tells you to find. - Use multiplication to check each answer.

Solution

1. For a), multiply the number of bags by the number of balls in each bag: $5 \times 8 = 40$. 2. For b), divide the total number of balls equally among the bins: $24 \div 3 = 8$.

Answer

a) There are $40$ tennis balls altogether. b) Each bin holds $8$ table tennis balls.

5182363

A baker has $56\,\text{kg}$ of flour and uses $7\,\text{kg}$ each day. Write a division question that can be answered from this information. Then 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 days will the flour last?” 2. Divide the total amount by the amount used each day: $56 \div 7 = 8$.

Answer

Question: “For how many days 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.

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.

Hints

- Use both the total number of muffins and the number already decorated. - Think of a question that asks about the part still left. - Choose an operation that compares the whole amount with the part already decorated.

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?

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?

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?

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.?

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?

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?

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?

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 $4$?

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?

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?

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?

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.

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> Seven more trips are added to the Island route. What is the new number of trips for each route?

Hints

- Identify the one route whose number changes. - Add the extra trips to that route's original value. - Keep every other table value unchanged.

Solution

1. Only the Island route changes: $18 + 7 = 25$. 2. The other route values remain unchanged.

Answer

North: $25$ South: $30$ Island: $25$ Harbor: $22$

5382924

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 recorded number of honey units is half the actual number sold. What is the actual number of honey units sold? Then give the corrected value for each product.

Hints

- Interpret “half the actual number” as a relationship between the recorded and actual honey quantities. - Decide how the actual honey amount must compare with the recorded $15$. - Change only the honey entry after finding the actual amount.

Solution

1. If $15$ is half the actual honey amount, the actual amount is twice $15$: $2 \times 15=30$. 2. The other product values do not change.

Answer

Actual honey sales: $30$ units Eggs: $40$ Honey: $30$ Cheese: $25$ Juice: $20$

5382934

A water station distributed $54$ bottles. A revised report uses one-half of that value. What number should appear in the revised report?

Hints

- Only the original value $54$ matters. - Find one-half by dividing by $2$. - Check by doubling your result.

Solution

1. One-half means divide by $2$. 2. $54\div2=27$. 3. The revised report should show $27$.

Answer

$27$

5383513

On Monday and Friday, club attendance was as follows: Drumming had $8$ and $11$ students, Drama had $12$ and $10$, and Chess had $9$ and $9$. Which statement is true? A: Fewer students attend Drumming on Friday than on Monday. B: Two more students attend Drama on Monday than on Friday. C: One more student attends Chess on Friday than on Monday.

Hints

- Match each statement to the two numbers for that club. - Check all three statements before choosing.

Solution

1. Statement A is false because $11 > 8$. 2. Statement B is true because $12 - 10 = 2$. 3. Statement C is false because both values are $9$.

Answer

Statement B is true.

5503483

The diagram shows chairs arranged in equal rows for a class presentation. Each square represents one chair. How many chairs are there altogether? Write a multiplication equation.

Hints

- Read the equal-row arrangement from the diagram. - Count how many rows there are and how many chairs are in one row. - Represent the equal rows with multiplication.

Solution

1. The diagram shows $4$ rows with $7$ chairs in each row. 2. Multiply the number of rows by the number in each row: $4 \times 7 = 28$.

Answer

There are $28$ chairs. $4 \times 7 = 28$.

5503493

A coach puts $56$ practice cones equally into $7$ storage bags. How many cones go in each bag?

Hints

- Decide whether the unknown is the number of groups or the amount in each group. - The total number of cones is being shared equally among a known number of bags. - Think of the related multiplication fact that uses the total as its product.

Solution

1. The $56$ cones are shared equally among $7$ bags, so use division. 2. $56 \div 7 = 8$.

Answer

$8$ cones go in each bag.

5503633

Mr. Alvarez shares $54$ stickers equally among $6$ folders. Which equation matches the story: $54\div6$ or $6\div54$? Explain what the answer means, then solve.

Hints

- Ask which number is the total number of stickers. - Ask how many equal groups there are. - The answer should tell how many stickers go in each folder.

Solution

1. The total of $54$ stickers is being shared among $6$ equal folders, so the matching equation is $54 \div 6$. 2. $54 \div 6 = 9$. 3. The answer tells how many stickers go in each folder.

Answer

$54 \div 6 = 9$. Each folder gets $9$ stickers.

5550853

Six cartons hold $7$ juice boxes each. Write an equation using $n$ for the total number of juice boxes. Then find $n$ and explain what it represents.

Hints

- Decide what quantity $n$ should represent before writing the equation. - The cartons are equal groups, so use the number of cartons and the number in each carton. - After solving, state what the value of $n$ means in the situation.

Solution

1. Six equal cartons with $7$ juice boxes each are represented by $n=6 \times 7$. 2. $6 \times 7=42$, so $n=42$. 3. The value $42$ is the total number of juice boxes in all six cartons.

Answer

$n=6 \times 7$, so $n=42$. The $42$ represents the total number of juice boxes.

5176403

Ms. Chen shares $32$ scissors equally among $8$ tables. Write a question that can be answered from this information. Then 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.

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 $32 \div 4 = 8$.

5381253

A zoo counts visitors at four entrances. Which two entrances have exactly $40$ visitors altogether?

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.

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?

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?

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.

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?

Hints

- Read the spruce and pine values from the scale. - Find the bar whose value lies strictly between those two values. - Check the final condition against the shortest bar.

Solution

1. The spruce has a value of $15$, and the pine has a value of $25$. 2. The only bar with a value between $15$ and $25$ is the fir at $20$. 3. The fir is not the shortest bar, so it satisfies every condition.

Answer

The mystery tree is the fir.

5381653

Which bar is as tall as two other bars combined?

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.

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?”

5503623

Seven boxes hold $8$ pencils each. Noah says the total is $7 + 8$. Ava says the total is $7 \times 8$. Who is correct? Explain and find the total number of pencils.

Hints

- What do $7$ and $8$ each mean in the story? - Are there $7$ equal groups of $8$, or are the numbers simply being joined? - Choose the equation that matches the equal groups.

Solution

1. The boxes are equal groups of $8$ pencils, repeated $7$ times. 2. Multiplication represents equal groups, so Ava's equation is correct: $7 \times 8 = 56$. 3. Adding $7 + 8$ combines the number of groups with the size of one group, so it does not represent the situation.

Answer

Ava is correct. The $7$ boxes are $7$ equal groups of $8$ pencils, so $7\times8=56$. The addition $7+8$ does not represent seven groups of eight.

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