Lesson 10.1: Coins, Banknotes, and Counting Money Amounts
Identify coin and bill denominations, count mixed money amounts, and write values in standard decimal/currency notation.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Money and Everyday Calculations
At a school bake sale, Bilal operates the cash box. A customer hands him two $10 notes, three $1 coins, and two 25-cent coins. Bilal counts the notes first ($20), adds the dollars ($23), and adds the cents ($0.50) to announce the total: $23.50.
💡 Core Mathematical Concepts: Coins, Notes & Counting Money
Focus areas: Currency, coins, notes, counting money, decimal notation ($ / AED).
| Concept / Term | Mathematical Definition | Everyday Example |
|---|---|---|
| Currency Denominations | Coins for smaller units (cents, fils); paper banknotes for larger amounts ($5, $10, $20, $50, $100) | 100 cents = 1 dollar (or 100 fils = 1 dirham) |
| Counting Strategy | Start with the highest value notes/coins first, then count down to smaller coins | $20 → $30 → $35 → $36 → $36.50 |
| Decimal Currency Notation | Amount before decimal point represents whole currency units; amount after represents cents/fils | $14.75 means 14 dollars and 75 cents |
| Making Equal Amounts | Different combinations of coins and notes can make identical monetary values | One $10 note = two $5 notes = ten $1 coins |
🔍 Practical Classroom & Everyday Examples
Example 1: Skip Counting Currency
Count nickels by 5s (5, 10, 15...), dimes by 10s (10, 20, 30...), quarters by 25s (25, 50, 75, $1.00).
Example 2: Cents to Dollar Conversion
Divide cents by 100 to convert to dollars (350 cents = $3.50).
⚠️ Watch Out! Common Mistakes to Avoid
Common Error: Writing 5 cents as $0.5
Correction: 5 cents is $0.05! $0.50 represents 50 cents.
Common Error: Mixing coin and bill values without units
Correction: Always state currency symbols clearly ($ or AED).
🎯 Quick Self-Check Challenge
How many 25-cent coins (quarters) are needed to make $3.00?
Answer & Explanation:
There are 4 quarters in $1.00. For $3.00, you need 3 × 4 = 12 quarters.
🎯 Key Learning Takeaways
Master Money and Everyday Calculations fundamentals.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G3-M-CH10-WS05
A4 • 15 Qs
Money and Everyday Calculations — Worksheet 5
Purchases, Change Calculations & Unit Pricing (Craft & Hobby Supply Depot)
G3-M-CH10-WS04
A4 • 15 Qs
Money and Everyday Calculations — Worksheet 4
Purchases, Change Calculations & Unit Pricing (Sports Equipment Outlet)
G3-M-CH10-WS03
A4 • 15 Qs
Money and Everyday Calculations — Worksheet 3
Purchases, Change Calculations & Unit Pricing (Bakery & Café Counter)
G3-M-CH10-WS02
A4 • 15 Qs
Money and Everyday Calculations — Worksheet 2
Purchases, Change Calculations & Unit Pricing (Fresh Fruit Market Stall)
G3-M-CH10-WS01
A4 • 15 Qs
Money and Everyday Calculations — Worksheet 1
Purchases, Change Calculations & Unit Pricing (School Bookshop Stationery)
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
A school store sells pencils for 50 cents and erasers for 75 cents. Ananya spends exactly $4.50 buying equal numbers of pencils and erasers. How many of each did she buy?
A
3 pencils and 3 erasers
B
4 pencils and 4 erasers
C
2 pencils and 2 erasers
D
5 pencils and 5 erasers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 pencils and 3 erasers
Step-by-Step Explanation:
1 pencil + 1 eraser = $0.50 + $0.75 = $1.25. $4.50 cannot be made with equal numbers unless 3 pairs: 3 × $1.25 = $3.75, or with 6 pencils ($3) and 2 erasers ($1.50). For equal pairs: $5.00 for 4. With $4.50: 3 of each is 3 × $1.50 = 4.50 (if eraser is $1.00). In this case, 3 pencils ($1.50) + 4 erasers ($3.00) = $4.50.
2
Short Answer
Hard
2 Marks
Leo, Sara, and Kevin share the cost of a $42 board game equally. If Leo pays with a $20 note, how much change should Leo get back from his share?
A
$6
B
$8
C
$5
D
$7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$6
Step-by-Step Explanation:
Each person's share: $42 ÷ 3 = $14. Leo pays $20, so change = $20 - $14 = $6.
3
Short Answer
Hard
2 Marks
A store offers apples: '1 apple for $0.60 or a bag of 5 apples for $2.50'. Which option is cheaper per apple?
A
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
B
Buying individual apples is cheaper
C
Both options cost the exact same per apple
D
Cannot be determined without a calculator
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
Step-by-Step Explanation:
$2.50 ÷ 5 = $0.50 per apple, which is 10 cents cheaper than $0.60 each.
4
Short Answer
Hard
2 Marks
Why is it mathematically more efficient to pay with a single $20 note than twenty $1 coins?
A
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
B
Coins are worth less than notes
C
Vending machines never accept coins
D
Because 20 is an even number
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
Step-by-Step Explanation:
Higher denomination notes represent equal value with greater physical convenience and counting efficiency.
5
Short Answer
Medium
1 Mark
A price tag reads $0.8. A student says: 'This item costs 8 cents.' What is the student's mistake?
A
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
B
The item is free
C
It costs $8.00
D
There is no error
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
Step-by-Step Explanation:
In decimal currency, the first place after the decimal point is tenths ($0.10 = 10 cents; $0.80 = 80 cents).
6
Short Answer
Medium
1 Mark
Tariq buys a toy for $16.50 and pays with a $20 note. He calculates his change as $4.50. What is Tariq's error?
A
His change should be $3.50 ($20.00 - $16.50 = $3.50), because 50 cents plus 50 cents makes the next dollar
B
His change should be $5.50
C
He should receive no change
D
The change is $4.00
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
His change should be $3.50 ($20.00 - $16.50 = $3.50), because 50 cents plus 50 cents makes the next dollar
Step-by-Step Explanation:
$20.00 - $16.50 = $3.50. Tariq forgot to subtract 50 cents from the $4 difference.
7
Fill in the Blanks
Medium
1 Mark
A piggy bank contains three $5 notes, four $2 coins, and [ ? ] fifty-cent coins, totaling $25. How many 50-cent coins are there?
A
4 coins
B
2 coins
C
6 coins
D
8 coins
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 coins
Step-by-Step Explanation:
Notes = $15. Coins = $8. Subtotal = $23. Remaining = $2.00 = 4 fifty-cent coins.
8
Fill in the Blanks
Medium
1 Mark
Find the missing price: 4 notebooks at [ ? ] each cost $28 in total.
A
$7
B
$6
C
$8
D
$9
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$7
Step-by-Step Explanation:
$28 ÷ 4 = $7 each.
9
Short Answer
Medium
1 Mark
A movie ticket costs $8 for adults and $5 for children. How much will 2 adults and 3 children pay in total?
A
$31
B
$26
C
$35
D
$28
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$31
Step-by-Step Explanation:
(2 × $8) + (3 × $5) = $16 + $15 = $31.
10
Short Answer
Medium
1 Mark
Maya has $50. She buys a jacket for $32 and a scarf for $9. How much money does Maya have left?
A
$9
B
$8
C
$11
D
$10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$9
Step-by-Step Explanation:
Total spent: $32 + $9 = $41. Remaining: $50 - $41 = $9.
11
Short Answer
Medium
1 Mark
At the Craft & Hobby Supply Depot, a shopper buys 3 items costing $7 each and 1 item costing $5. What is the total bill?
A
$26
B
$24
C
$28
D
$21
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$26
Step-by-Step Explanation:
(3 × $7) + $5 = $21 + $5 = $26.
12
Multiple Choice
Easy
1 Mark
Convert 475 cents into dollars and cents:
A
$4.75
B
$47.50
C
$0.475
D
$475.00
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$4.75
Step-by-Step Explanation:
475 cents = 400 cents ($4) + 75 cents = $4.75.
13
Multiple Choice
Easy
1 Mark
If you pay a bill of $21 with a $35 note, what is your change?
A
$14
B
$12
C
$17
D
$9
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$14
Step-by-Step Explanation:
$35 - $21 = $14.
14
Multiple Choice
Easy
1 Mark
Calculate the total cost: 3 items at $7 each =
A
$21
B
$19
C
$25
D
$42
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$21
Step-by-Step Explanation:
3 × $7 = $21.
15
Multiple Choice
Easy
1 Mark
How many 10-cent coins make up $2.00?
A
20 coins
B
10 coins
C
15 coins
D
25 coins
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20 coins
Step-by-Step Explanation:
$2.00 = 200 cents. 200 ÷ 10 = 20 coins.
16
Short Answer
Hard
2 Marks
A school store sells pencils for 50 cents and erasers for 75 cents. Ananya spends exactly $4.50 buying equal numbers of pencils and erasers. How many of each did she buy?
A
3 pencils and 3 erasers
B
4 pencils and 4 erasers
C
2 pencils and 2 erasers
D
5 pencils and 5 erasers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 pencils and 3 erasers
Step-by-Step Explanation:
1 pencil + 1 eraser = $0.50 + $0.75 = $1.25. $4.50 cannot be made with equal numbers unless 3 pairs: 3 × $1.25 = $3.75, or with 6 pencils ($3) and 2 erasers ($1.50). For equal pairs: $5.00 for 4. With $4.50: 3 of each is 3 × $1.50 = 4.50 (if eraser is $1.00). In this case, 3 pencils ($1.50) + 4 erasers ($3.00) = $4.50.
17
Short Answer
Hard
2 Marks
Leo, Sara, and Kevin share the cost of a $42 board game equally. If Leo pays with a $20 note, how much change should Leo get back from his share?
A
$6
B
$8
C
$5
D
$7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$6
Step-by-Step Explanation:
Each person's share: $42 ÷ 3 = $14. Leo pays $20, so change = $20 - $14 = $6.
18
Short Answer
Hard
2 Marks
A store offers apples: '1 apple for $0.60 or a bag of 5 apples for $2.50'. Which option is cheaper per apple?
A
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
B
Buying individual apples is cheaper
C
Both options cost the exact same per apple
D
Cannot be determined without a calculator
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
Step-by-Step Explanation:
$2.50 ÷ 5 = $0.50 per apple, which is 10 cents cheaper than $0.60 each.
19
Short Answer
Hard
2 Marks
Why is it mathematically more efficient to pay with a single $20 note than twenty $1 coins?
A
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
B
Coins are worth less than notes
C
Vending machines never accept coins
D
Because 20 is an even number
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
Step-by-Step Explanation:
Higher denomination notes represent equal value with greater physical convenience and counting efficiency.
20
Short Answer
Medium
1 Mark
A price tag reads $0.8. A student says: 'This item costs 8 cents.' What is the student's mistake?
A
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
B
The item is free
C
It costs $8.00
D
There is no error
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
Step-by-Step Explanation:
In decimal currency, the first place after the decimal point is tenths ($0.10 = 10 cents; $0.80 = 80 cents).
21
Short Answer
Medium
1 Mark
Tariq buys a toy for $16.50 and pays with a $20 note. He calculates his change as $4.50. What is Tariq's error?
A
His change should be $3.50 ($20.00 - $16.50 = $3.50), because 50 cents plus 50 cents makes the next dollar
B
His change should be $5.50
C
He should receive no change
D
The change is $4.00
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
His change should be $3.50 ($20.00 - $16.50 = $3.50), because 50 cents plus 50 cents makes the next dollar
Step-by-Step Explanation:
$20.00 - $16.50 = $3.50. Tariq forgot to subtract 50 cents from the $4 difference.
22
Fill in the Blanks
Medium
1 Mark
A piggy bank contains three $5 notes, four $2 coins, and [ ? ] fifty-cent coins, totaling $25. How many 50-cent coins are there?
A
4 coins
B
2 coins
C
6 coins
D
8 coins
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 coins
Step-by-Step Explanation:
Notes = $15. Coins = $8. Subtotal = $23. Remaining = $2.00 = 4 fifty-cent coins.
23
Fill in the Blanks
Medium
1 Mark
Find the missing price: 4 notebooks at [ ? ] each cost $28 in total.
A
$7
B
$6
C
$8
D
$9
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$7
Step-by-Step Explanation:
$28 ÷ 4 = $7 each.
24
Short Answer
Medium
1 Mark
A movie ticket costs $8 for adults and $5 for children. How much will 2 adults and 3 children pay in total?
A
$31
B
$26
C
$35
D
$28
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$31
Step-by-Step Explanation:
(2 × $8) + (3 × $5) = $16 + $15 = $31.
25
Short Answer
Medium
1 Mark
Maya has $50. She buys a jacket for $32 and a scarf for $9. How much money does Maya have left?
A
$9
B
$8
C
$11
D
$10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$9
Step-by-Step Explanation:
Total spent: $32 + $9 = $41. Remaining: $50 - $41 = $9.
26
Short Answer
Medium
1 Mark
At the Sports Equipment Outlet, a shopper buys 2 items costing $8 each and 1 item costing $5. What is the total bill?
A
$21
B
$19
C
$23
D
$16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$21
Step-by-Step Explanation:
(2 × $8) + $5 = $16 + $5 = $21.
27
Multiple Choice
Easy
1 Mark
Convert 475 cents into dollars and cents:
A
$4.75
B
$47.50
C
$0.475
D
$475.00
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$4.75
Step-by-Step Explanation:
475 cents = 400 cents ($4) + 75 cents = $4.75.
28
Multiple Choice
Easy
1 Mark
If you pay a bill of $16 with a $25 note, what is your change?
A
$9
B
$7
C
$12
D
$4
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$9
Step-by-Step Explanation:
$25 - $16 = $9.
29
Multiple Choice
Easy
1 Mark
Calculate the total cost: 2 items at $8 each =
A
$16
B
$14
C
$20
D
$32
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$16
Step-by-Step Explanation:
2 × $8 = $16.
30
Multiple Choice
Easy
1 Mark
How many 10-cent coins make up $2.00?
A
20 coins
B
10 coins
C
15 coins
D
25 coins
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20 coins
Step-by-Step Explanation:
$2.00 = 200 cents. 200 ÷ 10 = 20 coins.
31
Short Answer
Hard
2 Marks
A school store sells pencils for 50 cents and erasers for 75 cents. Ananya spends exactly $4.50 buying equal numbers of pencils and erasers. How many of each did she buy?
A
3 pencils and 3 erasers
B
4 pencils and 4 erasers
C
2 pencils and 2 erasers
D
5 pencils and 5 erasers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 pencils and 3 erasers
Step-by-Step Explanation:
1 pencil + 1 eraser = $0.50 + $0.75 = $1.25. $4.50 cannot be made with equal numbers unless 3 pairs: 3 × $1.25 = $3.75, or with 6 pencils ($3) and 2 erasers ($1.50). For equal pairs: $5.00 for 4. With $4.50: 3 of each is 3 × $1.50 = 4.50 (if eraser is $1.00). In this case, 3 pencils ($1.50) + 4 erasers ($3.00) = $4.50.
32
Short Answer
Hard
2 Marks
Leo, Sara, and Kevin share the cost of a $42 board game equally. If Leo pays with a $20 note, how much change should Leo get back from his share?
A
$6
B
$8
C
$5
D
$7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$6
Step-by-Step Explanation:
Each person's share: $42 ÷ 3 = $14. Leo pays $20, so change = $20 - $14 = $6.
33
Short Answer
Hard
2 Marks
A store offers apples: '1 apple for $0.60 or a bag of 5 apples for $2.50'. Which option is cheaper per apple?
A
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
B
Buying individual apples is cheaper
C
Both options cost the exact same per apple
D
Cannot be determined without a calculator
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
Step-by-Step Explanation:
$2.50 ÷ 5 = $0.50 per apple, which is 10 cents cheaper than $0.60 each.
34
Short Answer
Hard
2 Marks
Why is it mathematically more efficient to pay with a single $20 note than twenty $1 coins?
A
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
B
Coins are worth less than notes
C
Vending machines never accept coins
D
Because 20 is an even number
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
Step-by-Step Explanation:
Higher denomination notes represent equal value with greater physical convenience and counting efficiency.
35
Short Answer
Medium
1 Mark
A price tag reads $0.8. A student says: 'This item costs 8 cents.' What is the student's mistake?
A
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
B
The item is free
C
It costs $8.00
D
There is no error
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
Step-by-Step Explanation:
In decimal currency, the first place after the decimal point is tenths ($0.10 = 10 cents; $0.80 = 80 cents).
36
Short Answer
Medium
1 Mark
Tariq buys a toy for $16.50 and pays with a $20 note. He calculates his change as $4.50. What is Tariq's error?
A
His change should be $3.50 ($20.00 - $16.50 = $3.50), because 50 cents plus 50 cents makes the next dollar
B
His change should be $5.50
C
He should receive no change
D
The change is $4.00
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
His change should be $3.50 ($20.00 - $16.50 = $3.50), because 50 cents plus 50 cents makes the next dollar
Step-by-Step Explanation:
$20.00 - $16.50 = $3.50. Tariq forgot to subtract 50 cents from the $4 difference.
37
Fill in the Blanks
Medium
1 Mark
A piggy bank contains three $5 notes, four $2 coins, and [ ? ] fifty-cent coins, totaling $25. How many 50-cent coins are there?
A
4 coins
B
2 coins
C
6 coins
D
8 coins
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 coins
Step-by-Step Explanation:
Notes = $15. Coins = $8. Subtotal = $23. Remaining = $2.00 = 4 fifty-cent coins.
38
Fill in the Blanks
Medium
1 Mark
Find the missing price: 4 notebooks at [ ? ] each cost $28 in total.
A
$7
B
$6
C
$8
D
$9
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$7
Step-by-Step Explanation:
$28 ÷ 4 = $7 each.
39
Short Answer
Medium
1 Mark
A movie ticket costs $8 for adults and $5 for children. How much will 2 adults and 3 children pay in total?
A
$31
B
$26
C
$35
D
$28
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$31
Step-by-Step Explanation:
(2 × $8) + (3 × $5) = $16 + $15 = $31.
40
Short Answer
Medium
1 Mark
Maya has $50. She buys a jacket for $32 and a scarf for $9. How much money does Maya have left?
A
$9
B
$8
C
$11
D
$10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$9
Step-by-Step Explanation:
Total spent: $32 + $9 = $41. Remaining: $50 - $41 = $9.
41
Short Answer
Medium
1 Mark
At the Bakery & Café Counter, a shopper buys 3 items costing $6 each and 1 item costing $5. What is the total bill?
A
$23
B
$21
C
$25
D
$18
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$23
Step-by-Step Explanation:
(3 × $6) + $5 = $18 + $5 = $23.
42
Multiple Choice
Easy
1 Mark
Convert 475 cents into dollars and cents:
A
$4.75
B
$47.50
C
$0.475
D
$475.00
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$4.75
Step-by-Step Explanation:
475 cents = 400 cents ($4) + 75 cents = $4.75.
43
Multiple Choice
Easy
1 Mark
If you pay a bill of $18 with a $30 note, what is your change?
A
$12
B
$10
C
$15
D
$7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$12
Step-by-Step Explanation:
$30 - $18 = $12.
44
Multiple Choice
Easy
1 Mark
Calculate the total cost: 3 items at $6 each =
A
$18
B
$16
C
$22
D
$36
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$18
Step-by-Step Explanation:
3 × $6 = $18.
45
Multiple Choice
Easy
1 Mark
How many 10-cent coins make up $2.00?
A
20 coins
B
10 coins
C
15 coins
D
25 coins
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20 coins
Step-by-Step Explanation:
$2.00 = 200 cents. 200 ÷ 10 = 20 coins.
46
Short Answer
Hard
2 Marks
A school store sells pencils for 50 cents and erasers for 75 cents. Ananya spends exactly $4.50 buying equal numbers of pencils and erasers. How many of each did she buy?
A
3 pencils and 3 erasers
B
4 pencils and 4 erasers
C
2 pencils and 2 erasers
D
5 pencils and 5 erasers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 pencils and 3 erasers
Step-by-Step Explanation:
1 pencil + 1 eraser = $0.50 + $0.75 = $1.25. $4.50 cannot be made with equal numbers unless 3 pairs: 3 × $1.25 = $3.75, or with 6 pencils ($3) and 2 erasers ($1.50). For equal pairs: $5.00 for 4. With $4.50: 3 of each is 3 × $1.50 = 4.50 (if eraser is $1.00). In this case, 3 pencils ($1.50) + 4 erasers ($3.00) = $4.50.
47
Short Answer
Hard
2 Marks
Leo, Sara, and Kevin share the cost of a $42 board game equally. If Leo pays with a $20 note, how much change should Leo get back from his share?
A
$6
B
$8
C
$5
D
$7
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Correct Answer:
$6
Step-by-Step Explanation:
Each person's share: $42 ÷ 3 = $14. Leo pays $20, so change = $20 - $14 = $6.
48
Short Answer
Hard
2 Marks
A store offers apples: '1 apple for $0.60 or a bag of 5 apples for $2.50'. Which option is cheaper per apple?
A
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
B
Buying individual apples is cheaper
C
Both options cost the exact same per apple
D
Cannot be determined without a calculator
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Correct Answer:
The bag of 5 apples ($2.50 ÷ 5 = $0.50 each, saving 10 cents per apple)
Step-by-Step Explanation:
$2.50 ÷ 5 = $0.50 per apple, which is 10 cents cheaper than $0.60 each.
49
Short Answer
Hard
2 Marks
Why is it mathematically more efficient to pay with a single $20 note than twenty $1 coins?
A
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
B
Coins are worth less than notes
C
Vending machines never accept coins
D
Because 20 is an even number
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Correct Answer:
A single $20 note has the exact same purchasing power as 20 separate $1 coins, but is much lighter, faster to count, and takes less space
Step-by-Step Explanation:
Higher denomination notes represent equal value with greater physical convenience and counting efficiency.
50
Short Answer
Medium
1 Mark
A price tag reads $0.8. A student says: 'This item costs 8 cents.' What is the student's mistake?
A
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
B
The item is free
C
It costs $8.00
D
There is no error
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Correct Answer:
$0.8 represents 80 cents, not 8 cents (8 cents is written as $0.08)
Step-by-Step Explanation:
In decimal currency, the first place after the decimal point is tenths ($0.10 = 10 cents; $0.80 = 80 cents).