Lesson 10.1: Shopping Totals and Change Calculation

Comprehensive lesson on Shopping Totals and Change Calculation in Grade 5 Mathematics.

⏱️ Reading Time: 20 mins • ❓ 50 Interactive Practice Questions
🌟

Real-Life Story: Money and Everyday Calculations

Supermarket Checkout: Ringing up customer groceries, coupons, and cash payments.

💡 Core Mathematical Concepts: Shopping Totals and Change Calculation

Focus areas: Adding itemized costs and calculating change from large currency notes..

Concept / Term Mathematical Meaning Real-Life Application
Unit Price Cost per single item, kilogram, or litre $3.50 per kg of apples
Total Bill Sum of (quantity × unit price) for all selected items Itemized receipt
Change Due Amount paid by customer minus total bill amount Cashier return balance

📝 Step-by-Step Worked Examples

Worked Example 1: Calculate total

3 books at $8.50 each = 3 × 8.50 = $25.50.

Worked Example 2: Calculate change

Bill is $34.20, paid with $50 note -> Change = 50.00 - 34.20 = $15.80.

⚠️ Common Misconceptions to Avoid

Common Misconception: Misaligning decimal points

Correction: Line up decimal points vertically when adding or subtracting money.

Common Misconception: Forgetting cents formatting

Correction: Write $15.80 with two decimal places, not $15.8.

🎯

Self-Check Challenge

Liam buys 2 school shirts at $14.50 each and a backpack for $22.75. If he pays with a $60 note, how much change does he get?

Answer & Explanation:

Cost = (2 × 14.50) + 22.75 = 29.00 + 22.75 = $51.75. Change = 60.00 - 51.75 = $8.25.

🎯 Key Learning Takeaways

Master core definitions of Shopping Totals and Change Calculation. Apply mathematical principles to everyday scenarios. Avoid common calculation and conceptual pitfalls.

📄 Printable Worksheets (5 Available)

Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.

G5-M-CH10-WS05 A4 • 15 Qs

Money and Everyday Calculations: Worksheet 5

Practice Assessment 5 • Central Botanical Gardens Context

G5-M-CH10-WS04 A4 • 15 Qs

Money and Everyday Calculations: Worksheet 4

Practice Assessment 4 • Eco-Friendly Solar Park Context

G5-M-CH10-WS03 A4 • 15 Qs

Money and Everyday Calculations: Worksheet 3

Practice Assessment 3 • Harbor Marine Terminal Context

G5-M-CH10-WS02 A4 • 15 Qs

Money and Everyday Calculations: Worksheet 2

Practice Assessment 2 • Science & Discovery Museum Context

G5-M-CH10-WS01 A4 • 15 Qs

Money and Everyday Calculations: Worksheet 1

Practice Assessment 1 • City Regional Airport Context

✍️ Lesson Practice Questions (50 Questions)

Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.

Non-Repetitive Real-Life Maths
1 Short Answer
Hard 2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $8.40
Step-by-Step Explanation: Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
2 Short Answer
Hard 2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $36
Step-by-Step Explanation: Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
3 Short Answer
Hard 2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation: Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
4 Short Answer
Hard 2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation: Standardized unit costs eliminate deceptive packaging size variations.
5 Short Answer
Medium 1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: It is a loss of $10
Step-by-Step Explanation: When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.
6 Short Answer
Medium 1 Mark
A cashier subtracts $45.85 from $50.00 and calculates the change as $5.85. What is the cashier's error and what is the correct change?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $4.15
Step-by-Step Explanation: The cashier subtracted without regrouping the cents from the dollar. $50.00 - $45.85 = $4.15.
7 Fill in the Blanks
Medium 1 Mark
Complete the receipt balance: Total = $50.00, Paid = $[ ? ], Change = $12.50.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 62.50
Step-by-Step Explanation: $50.00 + $12.50 = $62.50.
8 Fill in the Blanks
Medium 1 Mark
Find the missing item price: 5 notebooks + $8 bag = $28 total. Price of 1 notebook = $[ ? ].
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 4
Step-by-Step Explanation: $28 - $8 = $20 for 5 notebooks. 1 notebook = $20 ÷ 5 = $4.
9 Short Answer
Medium 1 Mark
A bicycle costs $180. A customer pays a deposit of $45 and pays the remaining balance in 3 equal monthly installments. What is each installment?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $45
Step-by-Step Explanation: Remaining balance = $180 - $45 = $135. Each installment = $135 ÷ 3 = $45.
10 Short Answer
Medium 1 Mark
A baker makes 50 cupcakes at a cost of $0.80 each. If all 50 cupcakes are sold for $2.00 each, what is the baker's total profit?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $60
Step-by-Step Explanation: Total cost = 50 × $0.80 = $40. Total revenue = 50 × $2.00 = $100. Profit = $100 - $40 = $60.
11 Short Answer
Medium 1 Mark
At the Central Botanical Gardens gift store, Maya buys 3 framed posters for $54 and a commemorative book for $24. She pays with a $100 note. How much change does she receive?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $22
Step-by-Step Explanation: Total cost = $78 = $78. Change = $100 - $78 = $22.
12 Multiple Choice
Easy 1 Mark
Find the total cost of 4 notebooks at $3.50 each and 2 pens at $1.25 each.
A $16.50
B $15.50
C $17.00
D $14.75
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $16.50
Step-by-Step Explanation: (4 × $3.50 = $14.00) + (2 × $1.25 = $2.50) = $16.50.
13 Multiple Choice
Easy 1 Mark
A shopkeeper buys an item for $45 and sells it for $60. What is the profit?
A $15
B $25
C $105
D $10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $15
Step-by-Step Explanation: Profit = Selling Price - Cost Price = $60 - $45 = $15.
14 Multiple Choice
Easy 1 Mark
A customer pays for a $63.40 grocery bill with a $100 bill. How much change should the customer receive?
A $36.60
B $37.60
C $36.40
D $46.60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $36.60
Step-by-Step Explanation: $100.00 - $63.40 = $36.60.
15 Multiple Choice
Easy 1 Mark
If a science kit costs $40 at the bookstore, what is the cost of 9 kits?
A $360
B $350
C $375
D $355
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $360
Step-by-Step Explanation: Cost = Price × Quantity = $40 × 9 = $360.
16 Short Answer
Hard 2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $8.40
Step-by-Step Explanation: Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
17 Short Answer
Hard 2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $36
Step-by-Step Explanation: Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
18 Short Answer
Hard 2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation: Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
19 Short Answer
Hard 2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation: Standardized unit costs eliminate deceptive packaging size variations.
20 Short Answer
Medium 1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: It is a loss of $10
Step-by-Step Explanation: When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.
21 Short Answer
Medium 1 Mark
A cashier subtracts $45.85 from $50.00 and calculates the change as $5.85. What is the cashier's error and what is the correct change?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $4.15
Step-by-Step Explanation: The cashier subtracted without regrouping the cents from the dollar. $50.00 - $45.85 = $4.15.
22 Fill in the Blanks
Medium 1 Mark
Complete the receipt balance: Total = $50.00, Paid = $[ ? ], Change = $12.50.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 62.50
Step-by-Step Explanation: $50.00 + $12.50 = $62.50.
23 Fill in the Blanks
Medium 1 Mark
Find the missing item price: 5 notebooks + $8 bag = $28 total. Price of 1 notebook = $[ ? ].
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 4
Step-by-Step Explanation: $28 - $8 = $20 for 5 notebooks. 1 notebook = $20 ÷ 5 = $4.
24 Short Answer
Medium 1 Mark
A bicycle costs $180. A customer pays a deposit of $45 and pays the remaining balance in 3 equal monthly installments. What is each installment?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $45
Step-by-Step Explanation: Remaining balance = $180 - $45 = $135. Each installment = $135 ÷ 3 = $45.
25 Short Answer
Medium 1 Mark
A baker makes 50 cupcakes at a cost of $0.80 each. If all 50 cupcakes are sold for $2.00 each, what is the baker's total profit?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $60
Step-by-Step Explanation: Total cost = 50 × $0.80 = $40. Total revenue = 50 × $2.00 = $100. Profit = $100 - $40 = $60.
26 Short Answer
Medium 1 Mark
At the Eco-Friendly Solar Park gift store, Maya buys 3 framed posters for $54 and a commemorative book for $24. She pays with a $100 note. How much change does she receive?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $22
Step-by-Step Explanation: Total cost = $78 = $78. Change = $100 - $78 = $22.
27 Multiple Choice
Easy 1 Mark
Find the total cost of 4 notebooks at $3.50 each and 2 pens at $1.25 each.
A $16.50
B $15.50
C $17.00
D $14.75
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $16.50
Step-by-Step Explanation: (4 × $3.50 = $14.00) + (2 × $1.25 = $2.50) = $16.50.
28 Multiple Choice
Easy 1 Mark
A shopkeeper buys an item for $45 and sells it for $60. What is the profit?
A $15
B $25
C $105
D $10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $15
Step-by-Step Explanation: Profit = Selling Price - Cost Price = $60 - $45 = $15.
29 Multiple Choice
Easy 1 Mark
A customer pays for a $63.40 grocery bill with a $100 bill. How much change should the customer receive?
A $36.60
B $37.60
C $36.40
D $46.60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $36.60
Step-by-Step Explanation: $100.00 - $63.40 = $36.60.
30 Multiple Choice
Easy 1 Mark
If a science kit costs $35 at the bookstore, what is the cost of 8 kits?
A $280
B $270
C $295
D $275
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $280
Step-by-Step Explanation: Cost = Price × Quantity = $35 × 8 = $280.
31 Short Answer
Hard 2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $8.40
Step-by-Step Explanation: Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
32 Short Answer
Hard 2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $36
Step-by-Step Explanation: Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
33 Short Answer
Hard 2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation: Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
34 Short Answer
Hard 2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation: Standardized unit costs eliminate deceptive packaging size variations.
35 Short Answer
Medium 1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: It is a loss of $10
Step-by-Step Explanation: When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.
36 Short Answer
Medium 1 Mark
A cashier subtracts $45.85 from $50.00 and calculates the change as $5.85. What is the cashier's error and what is the correct change?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $4.15
Step-by-Step Explanation: The cashier subtracted without regrouping the cents from the dollar. $50.00 - $45.85 = $4.15.
37 Fill in the Blanks
Medium 1 Mark
Complete the receipt balance: Total = $50.00, Paid = $[ ? ], Change = $12.50.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 62.50
Step-by-Step Explanation: $50.00 + $12.50 = $62.50.
38 Fill in the Blanks
Medium 1 Mark
Find the missing item price: 5 notebooks + $8 bag = $28 total. Price of 1 notebook = $[ ? ].
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 4
Step-by-Step Explanation: $28 - $8 = $20 for 5 notebooks. 1 notebook = $20 ÷ 5 = $4.
39 Short Answer
Medium 1 Mark
A bicycle costs $180. A customer pays a deposit of $45 and pays the remaining balance in 3 equal monthly installments. What is each installment?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $45
Step-by-Step Explanation: Remaining balance = $180 - $45 = $135. Each installment = $135 ÷ 3 = $45.
40 Short Answer
Medium 1 Mark
A baker makes 50 cupcakes at a cost of $0.80 each. If all 50 cupcakes are sold for $2.00 each, what is the baker's total profit?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $60
Step-by-Step Explanation: Total cost = 50 × $0.80 = $40. Total revenue = 50 × $2.00 = $100. Profit = $100 - $40 = $60.
41 Short Answer
Medium 1 Mark
At the Harbor Marine Terminal gift store, Maya buys 3 framed posters for $54 and a commemorative book for $24. She pays with a $100 note. How much change does she receive?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $22
Step-by-Step Explanation: Total cost = $78 = $78. Change = $100 - $78 = $22.
42 Multiple Choice
Easy 1 Mark
Find the total cost of 4 notebooks at $3.50 each and 2 pens at $1.25 each.
A $16.50
B $15.50
C $17.00
D $14.75
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $16.50
Step-by-Step Explanation: (4 × $3.50 = $14.00) + (2 × $1.25 = $2.50) = $16.50.
43 Multiple Choice
Easy 1 Mark
A shopkeeper buys an item for $45 and sells it for $60. What is the profit?
A $15
B $25
C $105
D $10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $15
Step-by-Step Explanation: Profit = Selling Price - Cost Price = $60 - $45 = $15.
44 Multiple Choice
Easy 1 Mark
A customer pays for a $63.40 grocery bill with a $100 bill. How much change should the customer receive?
A $36.60
B $37.60
C $36.40
D $46.60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $36.60
Step-by-Step Explanation: $100.00 - $63.40 = $36.60.
45 Multiple Choice
Easy 1 Mark
If a science kit costs $30 at the bookstore, what is the cost of 7 kits?
A $210
B $200
C $225
D $205
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $210
Step-by-Step Explanation: Cost = Price × Quantity = $30 × 7 = $210.
46 Short Answer
Hard 2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $8.40
Step-by-Step Explanation: Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
47 Short Answer
Hard 2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: $36
Step-by-Step Explanation: Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
48 Short Answer
Hard 2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation: Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
49 Short Answer
Hard 2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation: Standardized unit costs eliminate deceptive packaging size variations.
50 Short Answer
Medium 1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: It is a loss of $10
Step-by-Step Explanation: When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.
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