Topic B: Making Change

When you make change, your first goal is to get a number that ends in 0 or 5. For example, if you bought something for $4, the first thing to do would be to get to $5. Check out example A below.

Example A

$4 to $5

To get from $4 to $5, you would need 1 loonie.

Example B

$23 to $25

To get from $23 to $25, you would need 1 toonie.

Example C

$55 to $60

To get from $55 to $60, you would need 1 five dollar bill.

Exercise 1

Circle the number of coins or bills you would need to get from the first number to the second number. Make sure to use the least number of coins or bills. Check your work using the answer key at the end of the exercise.

a. $33 to $35
5 loonies, 4 toonies

b. $48 to $50
5 loonies, 4 toonies

c. $16 to $20
5 loonies, 4 toonies

d. $68 to $70

5 loonies, 4 toonies, 2 5 dollar bills

e. $10 to $15
5 loonies, 4 toonies, 2 5 dollar bills

f. $35 to $40
5 loonies, 4 toonies, 2 5 dollar bills

g. $55 to $60

5 loonies, 4 toonies, 2 5 dollar bills

h. $85 to $90
5 loonies, 4 toonies, 2 5 dollar bills

i. $60 to $70
2 5 dollar bills, 2 10 dollar bills

j. $90 t0 $100
2 5 dollar bills, 2 10 dollar bills

k. $30 to $40
2 10 dollar bills, 2 20 dollar bills

l. $40 to $50
2 10 dollar bills, 2 20 dollar bills

m. $30 to $50
2 10 dollar bills, 2 20 dollar bills

n. $70 to $80
2 10 dollar bills, 2 20 dollar bills

o. $80 to $100
2 10 dollar bills, 2 20 dollar bills

p. $45 to $50
2 loonies, 2 toonies, 2 5 dollar bills

q. $21 to $25
5 loonies, 4 toonies

r. $55 to $60
3 loonies, 2 toonies, 2 5 dollar bills

s. $45 to $50
3 loonies, 2 toonies, 2 5 dollar bills

t. $40 to $50
2 5 dollar bills, 2 10 dollar bills

u. $70 to $80
2 5 dollar bills, 2 10 dollar bills

Answers to Exercise 1

  1. 1 toonie
  2. 1 toonie
  3. 2 toonies
  4. 1 toonie
  5. 1 $5 bill
  6. 1 $5 bill
  7. 1 $5 bill
  8. 1 $5 bill
  9. 1 $10 bill
  10. 1 $10 bill
  11. 1 $10 bill
  12. 1 $10 bill
  13. 1 $20 bill
  14. 1 $10 bill
  15. 1 $20 bill
  16. 1 $5 bill
  17. 2 toonies
  18. 1 $5 bill
  19. 1 $5 bill
  20. 1 $10 bill
  21. 1 $10 bil
Exercise 2

State the number and kind of coins and bills you would need to get from the first number to the second number. Make sure you use the least number of coins and bills as possible.

Example: $56 to $60. You require 2 toonies to get to $60.

  1. $28 to $30
  2. $35 to $40
  3. $90 to $100
  4. $32 to $50
  5. $54 to $55
  6. $30 to $50
  7. $65 to $70
  8. $45 to $50
Answers to Exercise 2
  1. 1 toonie
  2. 1 $5 bill
  3. 1 $10 bill
  4. 1 $10 bill, 1 $5 bill, 1 toonie, and 1 loonie
  5. 1 loonie
  6. 1 $20 bill
  7. 1 $5 bill
  8. 1 $5 bill

Example D

$28 to $50
Need To get to
1 toonie $30
1 $20 bill $50

Example E

$36 to $50
Need To get to
2 toonies $40
1 $10 bill $50

Example F

$63 to $80
Need To get to
1 toonie $65
1 $5 bill $70
1 $10 bill $80
Exercise 3

State the number and kind of coins and bills you would need to get from the first number to the second number. Make sure you use the least number of coins and bills as possible. Check your work using the answer key at the end of the exercise.

Example:

$67 to $80
Need To get to
1 loonie $68
1 toonie $70
1 $10 bill $80
  1. $26 to $40
    Need To get to
  2. $47 to $60
    Need To get to
  3. $69 to $80
    Need To get to
  4. $18 to $20
    Need To get to
  5. $34 to $50
    Need To get to
  6. $51 to $60
    Need To get to
  7. $78 to $100
    Need To get to
  8. $82 to $100
    Need To get to
  9. $93 to $100
    Need To get to
  10. $3 to $10
    Need To get to

Answers to Exercise 3

  1. $26 to $40
    Need To get to
    2 toonies $30
    1 $10 bill $40
  2. $47 to $60
    Need To get to
    1 loonie $48
    1 toonie $50
    1 $10 $60
  3. $69 to $80
    Need To get to
    1 loonie $70
    1 $10 bill $80
  4. $18 to $20
    Need To get to
    1 toonie $20
  5. $34 to $50
    Need To get to
    2 toonies $40
    1 $10 bill $50
  6. $51 to $60
    Need To get to
    2 toonies $55
    1 $5 bill $60
  7. $78 to $100
    Need To get to
    1 toonie $80
    1 $20 bill $100
  8. $82 to $100
    Need To get to
    1 loonie $83
    1 toonie $85
    1 $5 bill $90
    1 $10 bill $100
  9. $93 to $100
    Need To get to
    1 toonie $95
    1 $5 bill $100
  10. $3 to $10
    Need To get to
    1 toonie $5
    1 $5 bill $10

Exercise 4

State the number and kind of coins and bills you would need to get change from $100. Make sure you use the least number of coins and bills as possible.

Example: $67 to $100

Need To get to
1 loonie $68
1 toonie $70
1 $10 bill $80
1 $20 bill $100
  1. $26
    Need To get to
  2. $13
    Need To get to
  3. $57
    Need To get to
  4. $49
    Need To get to
  5. $38
    Need To get to
  6. $74
    Need To get to

Answers to Exercise 4

  1. $26
    Need To get to
    2 toonies $30
    1 $10 bill $40
    3 $20 bills $100
  2. $13
    Need To get to
    1 toonie $15
    1 $5 bill $20
    4 $20 bills $100
  3. $57
    Need To get to
    1 loonie $58
    1 toonie $60
    2 $20 bills $100
  4. $49
    Need To get to
    1 loonie $50
    1 $10 bill $60
    2 $20 bills $100
  5. $38
    Need To get to
    1 toonie $40
    3 $20 $100
  6. $74
    Need To get to
     3 toonies $80
     1 $20 bill

Exercise 5

State the number and kind of coins and bills you would need to get from the first number to the second number. Make sure you use the least number of coins and bills as possible.

Example A:   $2.69 from $5.00

Need To get to
1 penny $2.70
1 nickel $2.75
1 quarter $3.00
1 toonie $5.00

 Example B:   $6.29 from $10.00

Need To get to
1 penny $6.30
2 dimes $6.50
2 quarters $7.00
1 loonie $8.00
1 toonie $10.00

Example C:  $12.49 from $20.00

Need To get to
1 penny $12.50
2 quarters $13.00
1 toonie $15.00
1 – $5 bill $20.00
  1. $2.19 from $10.00
    Need To get to
  2. $6.48 from $20.00
    Need To get to
  3. $8.67 from $20.00
    Need To get to
  4. $3.35 from $10.00
    Need To get to
  5. $17.81 from $20.00
    Need To get to
  6. $50.22 from $60.00
    Need To get to
  7. $20.51 from $40.00
    Need To get to
  8. $37.72 from $50.00
    Need To get to
  9. $19.87 from $50.00
    Need To get to
  10. $4.36 from $5.00
    Need To get to
  11. $44.54 from $60.00
    Need To get to
  12. $29.14 from $40.00
    Need To get to
  13. $65.76 from $80.00
    Need To get to
  14. $41.98 from $60.00
    Need To get to
  15. $97.69 from $100
    Need To get to
  16. $32.02 from $35.00
    Need To get to
  17. $58.27 from $100
    Need To get to
  18. $61.15 from $80.00
    Need To get to
  19. $72.84 from $100
    Need To get to
  20. $83.91 from $100
    Need To get to
  21. $5.23 from $20.00
    Need To get to
  22. $19.56 from $40.00
    Need To get to

Answers to Exercise 5

  1. $2.19 from $10.00
    Need To get to
    1 penny $2.20
    1 nickel $2.25
    3 quarters $3
    1 toonie $5
    1 $5 bill $10
  2. $6.48 from $20.00
    Need To get to
    2  pennies $6.50
    2 quarters $7
    1 loonie $8
    1 toonie $10
    1 $10 bill $20
  3. $8.67 from $20.00
    Need To get to
    3 pennies $8.70
    1 nickel $8.75
    1 quarter $9
    1 loonie $10
    1 $10 bill $20
  4. $3.35 from $10.00
    Need To get to
    1 nickel $3.40
    1 dime $3.50
    2 quarters $4
    1 loonie $5
    1 $5 bill $10
  5. $17.81 from $20.00
    Need To get to
    4 pennies $17.85
    1 nickel $17.90
    1 dime $18
    1 toonie $20
  6. $50.22 from $60.00
    Need To get to
    3 pennies $50.25
    3 quarters $51
    2 toonies $55
    1 $5 bill $60
  7. $20.51 from $40.00
    Need To get to
    4 pennies $20.55
    2 dimes $20.75
    1 quarter $21
    2 toonies $25
    1 $5 bill $30
    1 $10 bill $40
  8. $37.72 from $50.00
    Need To get to
    3 pennies $37.75
    1 quarter $38
    1 toonie $40
    1 $10 bill $50
  9. $19.87 from $50.00
    Need To get to
    3 pennies $19.90
    1 dime $20
    1 $10 bill $30
    1 $20 bill $50
  10. $4.36 from $5.00
    Need To get to
    4 pennies $4.40
    1 dime $4.50
    2 quarters $5
  11. $44.54 from $60.00
    Need To get to
    1 penny $44.55
    2 dimes $44.75
    1 quarter $45
    1 $5 bill $50
    1 $10 bill $60
  12. $29.14 from $40.00
    Need To get to
    1 penny $29.15
    1 dime $29.25
    3 quarters $30
    1 $10 bill $40
  13. $65.76 from $80.00
    Need To get to
    4 pennies $65.80
    2 dimes $66
    2 toonies $70
    1 $10 bill $80
  14. $41.98 from $60.00
    Need To get to
    2 pennies $42
    1 loonie $43
    1 toonie $45
    1 $5 bill $50
    1 $10 bill $60
  15. $97.69 from $100
    Need To get to
    1 penny $97.70
    1 nickel $97.75
    1 quarter $98
    1 toonie $100
  16. $32.02 from $35.00
    Need To get to
    3 pennies $32.05
    2 dimes $32.25
    3 quarters $33
    1 toonie $35
  17. $58.27 from $100
    Need To get to
    1 dime $61.25
    3 quarters $62
    1 loonie $63
    1 toonie $65
    1 $5 bill $70
    1 $10 bill $80
  18. $61.15 from $80.00
    Need To get to
    1 dime $61.25
    3 quarters $62
    1 loonie $63
    1 toonie $65
    1 $5 bill $70
    1 $10 bill $80
  19. $72.84 from $100
    Need To get to
    1 penny $72.85
    1 nickel $72.90
    1 dime $73
    1 toonie $75
    1 $5 bill $80
    1 $20 bill $100
  20. $83.91 from $100
    Need To get to
    4 pennies $83.95
    1 nickel $84
    1 loonie $85
    1 $5 bill $90
    1 $10 bill $100
  21. $5.23 from $20.00
    Need To get to
    2 pennies $5.25
    3 quarters $6
    2 toonies $10
    1 $10 bill $20
  22. $19.56 from $40.00
    Need To get to
    4  pennies $19.60
    1 nickel $19.65
    1 dime $19.75
    1 quarter $20
    1 $20 bill $40
Exercise 6

State the number and kind of coins and bills you would need to get from the first number to the second number. Make sure you use the least number of coins and bills as possible.

  1. $1.74 from $10.00
  2. $54.05 from $60.00
  3. $96.43 from $100.00
  4. $28.16 from $40.00
  5. $73.97 from $80.00
  6. $32.81 from $50.00
  7. $9.38 from $20.00
  8. $85.25 from $100.00
Answers to Exercise 6
  1. $1.74 from $10.00
    • 1 penny
    • 1 quarter
    • 1 loonie
    • 1 toonie
  2. $54.05 from $60.00
    • 2 dimes
    • 3 quarters
    • 1 $5 bill
  3. $96.43 from $100.00
    • 2 pennies
    • 1 nickel
    • 2 quarters
  4. $28.16 from $40.00
    • 4 pennies
    • 1 nickel
    • 3 quarters
    • 1 loonie
  5. $73.97 from $80.00
    • 3 pennies
    • 1 loonie
    • 1 $5 bill
  6. $32.81 from $50.00
    • 4 pennies
    • 1 nickel
    • 1 dime
    • 1 toonie
    • 1 $5 bill
    • 1 $10 bill
  7. $9.38 from $20.00
    • 2 pennies
    • 1 dime
    • 2 quarters
    • 1 $10 bill
  8. $85.25 from $100.00
    • 3 quarters
    • 2 toonies
    • 1 $10 bill

Exercise 7

State the number and kind of coins and bills you would need to get change from $100. Make sure you use the least number of coins and bills as possible. Check your work using the answer key at the end of the exercise.


  1. 1  kg of chicken for $24.59

  2. DVD Player for $25.73

  3. Metal shelf for $75.59

  4. Heavy duty drill costs $89.89

  5. Skates cost $67.49

  6. Floor lamp costs $73.91

  7. coffee maker costs $22.39

  8. a package of toilet paper costs $6.71

  9. a box of laundry detergent costs $13.43

  10. a can of baby formula costs $30.23
Answers to Exercise 7
  1. 1 penny, 1 nickel, 1 dime, 1 quarter, 1 $5 bill, 1 $10 bill, 3 $20 bill
  2. 2 pennies, 1 quarter, 2 toonies, 1 $10 bill, 3 $20 bill
  3. 1 penny, 1 nickel, 1 dime, 1 quarter, 2 toonie, 1 $20 bill
  4. 1 penny, 1 dime, 1 $10 bill
  5. 1 penny, 2 quarters, 1 toonie, 1 $10 bill, 1 $20 bill
  6. 4 pennies, 1 nickel, 1 loonie, 1 $5 bill, 1 $20 bill
  7. 1 penny, 1 dime, 2 quarters, 1 toonie, 1 $5 bill, 1 $10 bill, 3 $20 bill
  8. 4 pennies, 1 quarter, 1 loonie, 1 toonie, 1 $10 bill, 4 $20 bill
  9. 2 pennies, 1 nickel, 2 quarters, 1 loonie, 1 $5 bill, 4 $20 bill
  10. 2 pennies, 3 quarters, 2 toonies, 1 $5 bill, 3 $20 bill

Exercise 8

State the number and kind of coins and bills you would need to get change from $100. Make sure you use the least number of coins and bills as possible. Check your work using the answer key at the end of the exercise.

  1. Mrs. Bhabra bought a food processor that cost $55.99. What change will she get from $100?
  2. Pablo bought Lego for $30.23.  What change will she get from $100?
  3. A case of 6 bottles of motor oil costs $43.67. What change will you get from?
  4. Shampoo costs $3.99 and conditioner costs $4.99. Together with taxes they cost $10.06.  What change will you get from $100?
Answers to Exercise 8
  1. 1 penny, 2 toonies,  2 $20 bills
  2. 2 pennies, 3 quarters, 2 toonies, 1 $5 bill, 3 $20 bills
  3. 3 pennies, 1 nickel, 1 quarter, 1 loonie, 1 $5 bill, 1 $10 bill, 2 $20 bills
  4. 4 pennies, 1 nickel, 1 dime, 3 quarters, 2 toonies, 1 $5 bill, 4 $20 bills

Topic B: Self-Test

Mark  /21   Aim  17/21

A. Circle the number of coins and bills needed to get from the first number to the second number.  Use the least number of coins. (4 marks)

  1. $76 to $80
    4 loonies, 4 toonies
  2. $22 to $25
    4 loonies, 4 toonies
  3. $40 to $50
    2 5 dollar bills, 2 10 dollar bills
  4. $55 to $60
    4 loonies, 4 toonies, 2 $5 bills

B. State the number and kind of coins or bills are needed to get from the first number to the second number. (4 marks)

  1. $48 to $50
  2. $76 to $80
  3. $95 to $100
  4. $40 to $50

C. State the number and kind of coins and bills you would need to get from the first number to the second number. Make sure you use the least number of coins and bills as possible. (4 marks)

  1. $37 to $50
  2. $16 to $50
  3. $42 to $60
  4. $81 to $100
D. State the number and kind of coins and bills you would need to get change from $100.  Make sure you use the least number of coins and bills as possible. (9 marks)
  1. $23
  2. $41
  3. $68
  4. $72
  5. groceries cost $89.63
  6. telephone bill was $51.08
  7. gas for the car cost $61.59
  8. Czelinski bought a new vacuum cleaner for $86.32. What change will get from $100?
  9. Uchida bought a new frying pan for $39.19. How much change will she get back from $100?

Answers to Topic B Self-Test

A.

  1. 2 toonies
  2. 1 loonie, 1 toonie
  3. 1 $10 bill
  4. 1 $5 bill

B

  1. 1 toonie
  2. 2 toonies
  3. 1 $5 bill
  4. 1 $10 bill

C

  1. 1 toonie, 1 toonie, 1 $10 bill
  2. 2 toonies, 1 $10 bill, 1 $20 bill
  3. 1 loonie, 1 toonie, 1 $5 bill, 1 $10 bill
  4. 2 toonies, 1 $5 bill, 1 $10 bill

D.

  1. 1 toonie, 1 $5 bill, 1 $10 bill, 3 $20 bill
  2. 2 toonies, 1 $5 bill, 1 $10 bill, 2 $20 bills
  3. 1 toonie, 1 $10 bill, 1 $20 bills
  4. 1 loonie, 1 toonie, 1 $5 bill, 1 $20 bill
  5. 2 pennies, 1 dime, 1 quarter, 1 $10 bill
  6. 2 pennies, 1 nickel, 1 dime, 3 quarters, 1 loonie, 1 toonie, 1 $5 bill, 2 $20 bills
  7. 1 penny, 1 nickel, 1 dime, 1 quarter, 1 loonie, 1 toonie, 1 $5 bill, 1 $10 bill, 1 $20 bill
  8. 3 pennies, 1 nickel, 1 dime, 2 quarters, 1 loonie, 1 toonie, 1 $10 bill
  9. 1 penny, 1 nickel, 3 quarters, 3 $20 bills

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Fundamentals of Mathematics 3 Copyright © 2023 by Wendy Tagami and Liz Girard is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.