Solve Multiplication and Division Problems
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3rd Grade Math › Solve Multiplication and Division Problems
Read the problem: Each song is 4 minutes long, and there are 6 songs. What is the total time?
24 minutes
2 minutes
20 minutes
10 minutes
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups × per group = total), array (rows × per row = total), or measurement (# of units × amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown (6×?=42 or 42÷6=?). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: 6×7=42 pencils. In this problem, there are 6 songs with 4 minutes each, representing measurement quantities, and the unknown is the total, so we need to multiply. Choice B is correct because 6 songs × 4 minutes per song = 24 minutes total. This accurately solves the problem using the correct operation. Choice C is incorrect because it divides in the wrong direction (4÷2=2, perhaps misreading). This error occurs when students misidentify the operation. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If 6×7=42, then 42÷6=7 and 42÷7=6. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Read the problem: Maya has 5 boxes with 8 crayons each. How many crayons in all?
5 crayons
40 crayons
13 crayons
48 crayons
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups × per group = total), array (rows × per row = total), or measurement (# of units × amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown (6×?=42 or 42÷6=?). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: 6×7=42 pencils. In this problem, there are 5 boxes with 8 crayons each, representing equal groups, and the unknown is the total, so we need to multiply. Choice B is correct because 5 boxes × 8 crayons per box = 40 crayons total. This accurately solves the problem using the correct operation. Choice A is incorrect because it uses addition (5+8=13) instead of multiplication (5×8=40). This error occurs when students misidentify the operation. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If 6×7=42, then 42÷6=7 and 42÷7=6. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Read the problem: A garden has 4 rows of 9 plants in each row. How many plants in all?
36 plants
95 plants
13 plants
49 plants
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups $ \times $ per group = total), array (rows $ \times $ per row = total), or measurement (# of units $ \times $ amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown ($6 \times ?=42$ or $42\div6=?$). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: $6\times7=42$ pencils. In this problem, a garden has 4 rows of 9 plants in each row, representing an array. The unknown is the total, so we need to multiply. Choice A is correct because $4\times9=36$ plants total. This accurately solves the problem using the correct operation. Choice B is incorrect because it uses addition ($4+9=13$) instead of multiplication ($4\times9=36$). This error occurs when students misidentify the operation. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If $6\times7=42$, then $42\div6=7$ and $42\div7=6$. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
48 crayons are packed equally into 6 boxes. How many crayons are in each box?
42 crayons
7 crayons
8 crayons
9 crayons
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups × per group = total), array (rows × per row = total), or measurement (# of units × amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown (6×?=42 or 42÷6=?). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: 6×7=42 pencils. In this problem, 48 crayons are packed equally into 6 boxes, representing equal groups where the total is divided by the number of groups to find per group, so we need to divide. Choice B is correct because 48 crayons ÷ 6 boxes = 8 crayons per box. This accurately solves the problem using the correct operation. Choice C is incorrect because it multiplies 6×7=42, perhaps confusing multiplication with division. This error occurs when students misidentify the operation or don't check reasonableness. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If 6×7=42, then 42÷6=7 and 42÷7=6. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Read the problem: A garden has 4 rows with 9 plants in each row. How many plants altogether?
36 plants
40 plants
45 plants
13 plants
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups ($groups \times \text{per group} = total$), array ($rows \times \text{per row} = total$), or measurement ($\text{# of units} \times \text{amount per unit} = total$). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown ($6 \times ? = 42$ or $42 \div 6 = ?$). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: $6 \times 7 = 42$ pencils. In this problem, there are 4 rows with 9 plants each, representing an array, and the unknown is the total, so we need to multiply. Choice B is correct because $4 \times 9 = 36$ plants total. This accurately solves the problem using the correct operation. Choice C is incorrect because it has a calculation error (perhaps $5 \times 9 = 45$, misreading rows). This error occurs when students make computational mistakes. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If $6 \times 7 = 42$, then $42 \div 6 = 7$ and $42 \div 7 = 6$. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Read the problem: Chairs are set in 7 rows with 5 chairs in each row. How many chairs altogether?
75 chairs
12 chairs
30 chairs
35 chairs
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups × per group = total), array (rows × per row = total), or measurement (# of units × amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown (6×?=42 or 42÷6=?). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: 6×7=42 pencils. In this problem, chairs are set in 7 rows with 5 chairs in each row, representing an array. The unknown is the total, so we need to multiply. Choice C is correct because 7 rows × 5 chairs per row = 35 chairs total. This accurately solves the problem using the correct operation. Choice A is incorrect because it uses addition (7+5=12) instead of multiplication (7×5=35). This error occurs when students misidentify the operation. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If 6×7=42, then 42÷6=7 and 42÷7=6. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Tiles are arranged in 8 rows with 7 tiles in each row. How many tiles are there in all?
49 tiles
15 tiles
56 tiles
64 tiles
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups × per group = total), array (rows × per row = total), or measurement (# of units × amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown (6×?=42 or 42÷6=?). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: 6×7=42 pencils. In this problem, tiles are arranged in 8 rows with 7 tiles in each row, representing an array, and the unknown is the total, so we need to multiply. Choice C is correct because 8 rows × 7 tiles per row = 56 tiles total. This accurately solves the problem using the correct operation. Choice D is incorrect because it multiplies 8×8=64, perhaps confusing the numbers. This error occurs when students make computational mistakes or use wrong numbers from the problem. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If 6×7=42, then 42÷6=7 and 42÷7=6. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Read the problem: Maya has 4 bags with 9 marbles in each bag. How many marbles total?
13 marbles
45 marbles
9 marbles
36 marbles
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups $ \times $ per group = total), array (rows $ \times $ per row = total), or measurement (# of units $ \times $ amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown ($6 \times ?=42$ or $42 \div 6=?$). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: $6 \times 7=42$ pencils. In this problem, there are 4 bags with 9 marbles in each bag, representing equal groups. The unknown is the total, so we need to multiply. Choice C is correct because 4 bags $ \times 9 $ marbles per bag = 36 marbles total. This accurately solves the problem using the correct operation. Choice A is incorrect because it uses addition ($4+9=13$) instead of multiplication ($4 \times 9=36$). This error occurs when students misidentify the operation. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If $6 \times 7=42$, then $42 \div 6=7$ and $42 \div 7=6$. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Read the problem: 63 grapes are put into bowls with 7 grapes each. How many bowls are needed?
8 bowls
9 bowls
56 bowls
7 bowls
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups × per group = total), array (rows × per row = total), or measurement (# of units × amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown ($6 \times ? = 42$ or $42 \div 6 = ?$). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: $6 \times 7 = 42$ pencils. In this problem, 63 grapes are put into bowls with 7 each, representing equal groups, and the unknown is the number of groups (bowls), so we need to divide. Choice B is correct because $63 \div 7 = 9$ bowls. This accurately solves the problem using the correct operation. Choice C is incorrect because it multiplies ($7 \times 8 = 56$, perhaps misreading). This error occurs when students misidentify the operation. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If $6 \times 7 = 42$, then $42 \div 6 = 7$ and $42 \div 7 = 6$. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.
Based on the information: Carlos has 7 stickers. Jamal has 4 times as many. How many stickers does Jamal have?
11 stickers
21 stickers
4 stickers
28 stickers
Explanation
This question tests solving word problems using multiplication and division within 100 (CCSS.3.OA.3), specifically applying these operations to situations with equal groups, arrays, or measurement quantities. To solve multiplication/division word problems: (1) Identify the structure—equal groups (groups × per group = total), array (rows × per row = total), or measurement (# of units × amount per unit = total). (2) Determine which is unknown—total (multiply), number in each group (divide total by # groups), or number of groups (divide total by per group). (3) Write equation with symbol for unknown (6×?=42 or 42÷6=?). (4) Solve and check if answer makes sense. For example: "6 bags with 7 pencils each, how many total?" → Structure: 6 groups of 7 → Multiply: 6×7=42 pencils. In this problem, Jamal has 4 times as many stickers as Carlos's 7, representing measurement quantities, and the unknown is the total for Jamal, so we need to multiply. Choice B is correct because 7 stickers × 4 = 28 stickers. This accurately solves the problem using the correct operation. Choice C is incorrect because it multiplies wrong numbers (7×3=21, perhaps misreading 'times'). This error occurs when students use wrong numbers from the problem. To help students solve multiplication/division word problems: Teach keywords as clues ("each", "per", "times as many" suggest multiplication; "divided", "shared equally", "per group" suggest division) but emphasize understanding structure over keywords. Draw pictures of equal groups/arrays. Practice writing equations before solving. Use manipulatives to model problems. Check reasonableness: Does 87 cookies per child make sense from 24 total? (No!) Relate multiplication and division: If 6×7=42, then 42÷6=7 and 42÷7=6. Watch for students who add when should multiply, or who don't connect the scenario to the correct operation.