Q1: A bakery sold 124 cupcakes on Monday and 97 cupcakes on Tuesday. Each cupcake costs $3. How much money did the bakery earn in total over the two days? (a) $663 (b) $221 (c) $372 (d) $291
Solution:
Ans: (a) Explanation: First, find the total number of cupcakes sold: \(124 + 97 = 221\) cupcakes. Then multiply by the price: \(221 \times 3 = 663\) dollars. Option (b) is just the number of cupcakes, option (c) is incorrect multiplication, and option (d) uses subtraction instead of addition.
Q2: Jason has 8 boxes of pencils. Each box contains 12 pencils. He gives away 25 pencils to his classmates. How many pencils does Jason have left? (a) 96 (b) 71 (c) 46 (d) 121
Solution:
Ans: (b) Explanation: First, find the total number of pencils: \(8 \times 12 = 96\) pencils. Then subtract the pencils given away: \(96 - 25 = 71\) pencils. Option (a) is before giving away pencils, option (c) uses incorrect subtraction, and option (d) adds instead of subtracts.
Q3: A school bus can carry 48 students. If 5 buses are filled completely and 32 more students need to be transported, how many students need transportation in total? (a) 240 (b) 272 (c) 85 (d) 208
Solution:
Ans: (b) Explanation: First, find how many students are in 5 full buses: \(5 \times 48 = 240\) students. Then add the additional students: \(240 + 32 = 272\) students. Option (a) doesn't include the extra students, option (c) is just the sum of 5, 48, and 32, and option (d) uses incorrect calculation.
Q4: Maria earns $15 per hour babysitting. She babysat for 4 hours on Saturday and 3 hours on Sunday. She spent $28 on a new book. How much money does Maria have left? (a) $105 (b) $77 (c) $60 (d) $133
Solution:
Ans: (b) Explanation: First, find total hours worked: \(4 + 3 = 7\) hours. Then find total earnings: \(7 \times 15 = 105\) dollars. Finally, subtract the amount spent: \(105 - 28 = 77\) dollars. Option (a) is before spending money, option (c) uses only Saturday hours, and option (d) adds instead of subtracts.
Q5: A farmer has 156 apples. He packs them into bags with 12 apples in each bag. How many full bags can he make, and how many apples will be left over? (a) 13 bags with 0 apples left (b) 12 bags with 12 apples left (c) 13 bags with 12 apples left (d) 12 bags with 0 apples left
Solution:
Ans: (a) Explanation: Divide the total apples by apples per bag: \(156 \div 12 = 13\) with remainder 0. This means he can make 13 full bags with no apples left over. The other options show incorrect division results.
Q6: A toy store has 215 action figures. They receive a shipment of 178 more action figures. If they sell 296 action figures, how many action figures are left in the store? (a) 97 (b) 393 (c) 118 (d) 689
Solution:
Ans: (a) Explanation: First, find the total after shipment: \(215 + 178 = 393\) action figures. Then subtract the amount sold: \(393 - 296 = 97\) action figures. Option (b) is before selling, option (c) uses incorrect subtraction, and option (d) adds all numbers together.
Q7: A restaurant serves 68 customers during lunch and 94 customers during dinner. Each customer spends an average of $12. What is the total amount of money the restaurant earns from both meals? (a) $816 (b) $1,944 (c) $162 (d) $1,128
Solution:
Ans: (b) Explanation: First, find the total number of customers: \(68 + 94 = 162\) customers. Then multiply by the average spent: \(162 \times 12 = 1,944\) dollars. Option (a) uses only lunch customers, option (c) is just the customer count, and option (d) uses incorrect multiplication.
Q8: Emma has $145. She buys 3 video games that cost $28 each. How much money does Emma have left? (a) $61 (b) $117 (c) $84 (d) $229
Solution:
Ans: (a) Explanation: First, find the total cost of video games: \(3 \times 28 = 84\) dollars. Then subtract from the money she has: \(145 - 84 = 61\) dollars. Option (b) subtracts only one game, option (c) is just the cost of games, and option (d) adds instead of subtracts.
## Section B: Fill in the Blanks Q9: When solving a multi-step word problem, the first step is to __________ what the question is asking you to find.
Solution:
Ans: identify (or understand/determine) Explanation: Before solving any multi-step problem, you must identify what information is needed and what the question wants you to find.
Q10: If a problem requires you to find a total and then subtract an amount, you need to perform __________ operations.
Solution:
Ans: two (or multiple) Explanation: Multi-step problems require more than one operation. In this case, addition (to find the total) and subtraction are the two operations needed.
Q11: In a word problem, the word "each" usually indicates that you will need to use __________ as one of your operations.
Solution:
Ans: multiplication Explanation: The word "each" is a key word that signals multiplication, such as "5 bags with 8 apples each" means \(5 \times 8\).
Q12: When a problem asks "how many are left" or "how much remains," you will likely need to use __________ as your final operation.
Solution:
Ans: subtraction Explanation: The phrases "how many are left" or "how much remains" indicate that you need to subtract to find the remaining amount.
Q13: If you need to divide items equally into groups and there are some items that don't fit evenly, the leftover items are called the __________.
Solution:
Ans: remainder Explanation: In division, when items cannot be divided evenly, the leftover amount is called the remainder.
Q14: To check if your answer to a multi-step word problem is reasonable, you should __________ your answer to see if it makes sense.
Solution:
Ans: estimate (or check/review) Explanation:Estimating or checking your answer helps ensure it is reasonable and makes sense in the context of the problem.
## Section C: Word Problems Q15: A library has 8 shelves. Each shelf holds 45 books. The librarian removes 87 books for repair. How many books remain on the shelves?
Solution:
Ans: Step 1: Find total books on shelves: \(8 \times 45 = 360\) books Step 2: Subtract books removed: \(360 - 87 = 273\) books Final Answer: 273 books
Q16: Mr. Thompson drives 45 miles to work each day. He works 5 days a week. If his car uses 1 gallon of gas for every 25 miles, how many gallons of gas does he use driving to work in one week?
Solution:
Ans: Step 1: Find total miles in one week: \(45 \times 5 = 225\) miles Step 2: Divide by miles per gallon: \(225 \div 25 = 9\) gallons Final Answer: 9 gallons
Q17: A theater has 18 rows of seats. Each row has 22 seats. During a show, 284 seats are occupied. How many seats are empty?
Q18: Sarah is organizing a party. She buys 6 packs of juice boxes. Each pack contains 10 juice boxes. She also buys 15 individual juice boxes. If 53 juice boxes are consumed during the party, how many juice boxes are left?
Solution:
Ans: Step 1: Find juice boxes from packs: \(6 \times 10 = 60\) juice boxes Step 2: Add individual juice boxes: \(60 + 15 = 75\) juice boxes Step 3: Subtract consumed juice boxes: \(75 - 53 = 22\) juice boxes Final Answer: 22 juice boxes
Q19: A factory produces 215 toys each day. The factory operates for 6 days. If the toys are packed into boxes with 15 toys in each box, how many full boxes can be made?
Solution:
Ans: Step 1: Find total toys produced: \(215 \times 6 = 1,290\) toys Step 2: Divide by toys per box: \(1,290 \div 15 = 86\) boxes Final Answer: 86 boxes
Q20: A store sells notebooks for $4 each and pens for $2 each. Kevin buys 7 notebooks and 9 pens. He pays with a $50 bill. How much change does Kevin receive?
Solution:
Ans: Step 1: Find cost of notebooks: \(7 \times 4 = 28\) dollars Step 2: Find cost of pens: \(9 \times 2 = 18\) dollars Step 3: Find total cost: \(28 + 18 = 46\) dollars Step 4: Subtract from $50: \(50 - 46 = 4\) dollars Final Answer: $4
The document Worksheet (with Solutions): Multi-Step Word Problems is a part of the Grade 4 Course Math Grade 4.
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