MMCP Booklet 2.2 (Operations)
OP-001
What is the next term in the following pattern?
2 794 , 2 805 , 2 816 , 2 827 , 2 838 , ________
Answer: ___________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-002
Add.
7394
+
6658
Answer: ___________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-003
Solve.
362 ÷ 5
Answer: ___________
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
Page 1
OP-004
The counter on Simon’s bicycle read 68 kilometres at the beginning of the summer.
At the end of the summer, it read 502 kilometres.
How many kilometres did Simon bike throughout the summer?
Answer: ____________ km
------------------------------------------------------------------------------------- -------------------------------------------------------
OP-005
Which of the following will continue the pattern?
? ?
a)
c)
b)
d)
Answer: ________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-006
Are the statements true or false? Put a T (true) or a F (false).
879 – 6509 = 5630
_____
5630 + 879 = 6509
_____
6509 = 5630 – 879
_____
6509 – 879 = 5630
_____
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
Page 2
OP-007
What term is missing for the two operations below?
Choose the missing term from the table:
36
8
5
2
63
67
÷ 9 = 7
Operation #1:
Operation #2:
5x
x 3 = 75
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-008
Johnny bought a soccer ball for $7.25 and a video game for $35.92. Dad gave him a
fresh $50 bill to pay for these items.
How much change did he get back?
a) $93.17
b) $43.17
c) $14.08
d) $6.83
Answer: ________
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
Page 3
OP-009
You found a lucky penny on the ground. The year on it is 1935.
How old is the penny?
Answer: _______________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-010
Complete the equations below.
a)
387 + _________ + 263 = 998
b)
2 776 + 32 + 489 = _________
c)
12 x 9 = _________ + 100
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OP-011
There were 316 students in the whole school.
If each student had 5 pencils, how many pencils would there be in all?
Answer: _______________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-012
Complete the equations below.
a) ___________ – 5141 = 3185
b) 5900 – ___________ = 3437
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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Page 4
OP-013
Complete the equations below.
a) 4 895 + _________ = 8 569
b) 365 + _________ = 3 928 + 67
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-014
Complete the equations below.
a) 3 465 + _________ = 8 658
b) 384 + 5 873 = _________ + 694
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-015
George bought strawberries and bananas at the fruit market.
$4.89
$2.48
If he gave the cashier $10.00, how much money should he get back?
Answer: _______________
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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Page 5
OP-016
George went to a sports store to buy a skateboard and a helmet.
How much did he pay?
$56.29
$134.83
Answer: _______________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-017
In 1903, Orville and Wilbur Wright made the first successful flight in an airplane.
If the year is 2011, how many years ago did this take place?
Answer: __________ years
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-018
In a school shop class, 35 years ago, an eighth grade boy named Tom Sims invented
the first snowboard out of plywood. He called it a ski board. He later formed a company
that made many snowboards.
If the year is 2011, in what year was the first snowboard invented?
Answer: _______________
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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Page 6
OP-019
Complete the equations below:
a) 2 313 + _________ = 2 924
b) 487 + _________ = 5 424 + 3 282
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OP-020
Alex bought a slice of pizza and a can of pop at the pizzeria.
$3.26
$1.15
He gave the cashier $10.
How much money should the cashier give him back?
Answer: _______________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-021
The telephone was invented in Canada. In 2012, the invention will be 136 years old.
In what year was the telephone invented?
Answer: _______________
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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OP-022
Stephanie puts 6 blocks in each box.
She has 48 blocks.
How many boxes will she use?
Answer: _______________ boxes
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-023
Two classes of students sold 305 tickets.
Max’s class sold 98 tickets.
What number sentence must be used to calculate the amount of tickets sold by the
other class?
a) 305 – 98
b) 98 + 305
c) 305 – 98 x 2
d) 305 – 98 ÷ 2
Answer: ________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-024
Look at the following pattern.
Fill in the next three terms.
State the pattern rule.
3 , 6 , 4 , 7 , 5 , 8 , _______ , _______ , _______
The pattern rule is: ________________________________
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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Page 8
OP-025
Sarah has 156 hockey cards.
She puts them into packs of 10.
Sarah will give the remainder to her brother.
How many packs does Sarah have?
Answer: _______________ packs
How many cards will her brother get?
Answer: _______________ cards
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-026
Jerome put some apples, bananas and pears in each of the 3 baskets.
He put twice as many apples as bananas in each basket.
Each basket now has 9 pieces of fruit.
How many fruit are in each basket?
Answers:
_______ apples
_______ bananas
_______ pears
How many pears in all did Jerome put in the 3 baskets?
Answer: There are a total of _______ pears in the 3 baskets
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OP-027
A bus driver travelled 334 kilometres yesterday.
Today, he travelled 469 kilometres.
What is the total distance travelled?
a) 793 kilometres
b) 803 kilometres
c) 703 kilometres
d) 814 kilometres
Answer: ________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-028
The Robinson family is going to the circus.
There’s the father, the mother and two children who are 8 and 4 years old.
Price of Admission
Adult
6 to 17 years of age
5 years of age or less
$30
$14
Free
The mother gives the cashier a coupon for
1
2
off the total admission price.
How much does the Robinson family pay to go to the circus?
Answer: The Robinson family will pay $_________
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OP-029
You want to buy this laptop.
$513
The types of bills you have are:
The only type of coin you have is
Fill in the chart below to show one way to pay for the laptop. Write the number of
each bill and coin in the table.
TOTAL
$513
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-030
Five students are participating in a game.
These students are 7, 8, 9, 10 and 11 years old.
They form teams of 2 people each.
The sum of the ages of the people in each team is 17.
One person is alone.
How old is the person that is alone?
Answer: The person alone is _________ years old.
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OP-031
The 31 students are going to present their drama pieces they prepared in class.
The class is divided into groups of 4, with the exception of one group that only has 3
students.
Each group will take 5 minutes to present their drama piece.
How much time will be needed for all the groups to present their drama pieces?
Answer: ________ minutes
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-032
Laura took 11 empty bottles back to the grocery store.
She received 6 cents for each bottle.
With this money she bought an apple that cost 47 cents.
How much money does she have left?
Answer: ________ cents
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-033
Nick and his friend Josh have a total of 307 baseball cards.
175 of those cards belong to Nick.
How many cards belong to Josh?
Answer: ________ cards
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OP-034
Jared was playing a game of darts.
He threw 5 darts and all hit the dartboard.
Jared’s total score was 75 points.
What areas could he have hit?
25
20
15
10
5
0
Place a check (√) in the table below to represent the value of each of the 5 darts.
0 points
5 points
10 points
15 points
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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20 points
25 points
Page 13
OP-035
Ronnie and Ally have 62 Pokemon cards each.
How many cards will Ronnie have to give Ally so that she has 16 more than him?
Answer: ________ cards
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OP-036
Look at the following pattern.
Fill in the next three terms.
State the pattern rule.
0 , 1 , 3 , 6 , 10 , 15 , _______ , _______ , _______
The pattern rule is: ________________________________
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-037
Ben has 600 hockey cards in his collection.
Mike has 265 hockey cards in his collection.
How many more cards do Mike need, so he has the same amount as Ben?
a) 445 cards
b) 345 cards
c) 335 cards
d) 865 cards
Answer: ________
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OP-038
For his birthday, Donny asked his parents for either of the two items shown below.
$160.60
$230.75
How much more would it cost Donny’s parents to buy the iPod?
Answer: _______________
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OP-039
Four times in one week a truck driver delivered boxes to the same store.
The table below shows the number of boxes delivered each time.
Monday
Wednesday
Thursday
Saturday
432
186
83
204
Find the total number of boxes delivered for the week.
Answer: ___________ boxes
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OP-040
A 4-storey structure made of cubes is shown below.
What is the number of cubes needed to make the 6th storey?
Answer: ________ cubes
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-041
A 4-storey structure made of cubes is shown below.
What is the number of cubes needed to make the 5th storey?
a) 5 cubes
b) 10 cubes
c) 15 cubes
d) 20 cubes
Answer: ________
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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OP-042
A 3-storey structure made of cubes is shown below.
What is the total number of cubes needed to make a 4-storey structure?
Answer: ________ cubes
----------------------------------------------------------------------------------------------------------------------------- ---------------
OP-043
A 3-storey structure made of cubes is shown below.
What is the number of cubes needed to make the 4th storey?
Answer: ________ cubes
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
Page 17
ANSWERS
MMCP Booklet 2.2 (Operations)
Question
OP-001
Wheel
Math Concept (PoL)
Answer
Difficulty
OP1
13. Using his/her own words and
mathematical language that is at an
appropriate level for the cycle,
describes
2 849
medium
14 052
easy
72 r2
easy
434 km
easy
a
easy
b. numerical patterns
c. series of numbers and family of
operations
OP-002
OP1
4. Develops processes for written
computation (addition and
subtraction)
b. Uses conventional processes to
determine the sum of two natural
numbers of up to four digits
7. Develops processes for written
computation (multiplication and
division)
OP-003
OP-004
OP1
OP1
AR6
OP-005
OP1
a. Uses his/her own processes as well as
materials and drawings to determine the
product or quotient of a three-digit natural
number and a one-digit natural number,
expresses the remainder of a division as
a fraction, depending on the context.
4. Develops processes for written
computation (addition and
subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
1. Determines the operation(s) to
perform in a given situation
13. Using his/her own words and
mathematical language that is at
an appropriate level for the cycle,
describes
a. non-numerical patterns
4. Develops processes for written
computation (addition and
subtraction)
OP-006
OP-007
OP1
OP1
b. Uses conventional processes to
determine the sum of two natural
numbers of up to four digits
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
8. Determines the missing term in an
equation (relationship between
operations):
a × b = □, a × □ = c, □ × b = c,
a ÷ b = □, a ÷ □ = c, □ ÷ b = c
F
T
medium
F
T
#1) 63
#2) 5
medium
d
medium
3. Develops processes for
written computation
OP-008
OP2
a. Adds and subtracts decimals
whose result does not go beyond
the second decimal Place
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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Page 18
Question
OP-009
OP-010
Wheel
Math Concept (PoL)
OP1
4. Develops processes for written
computation (addition and subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
AR6
1. Determines the operation(s) to perform in
a given situation
OP1
5. Determines the missing term in an
equation (relationships between
operations):
a + b = □, a + □ = c, □ + b = c,
a – b = □, a – □ = c, □ – b = c
8. Determines the missing term in an
equation (relationships between
operations):
a × b = □, a × □ = c, □ × b = c,
a ÷ b = □, a ÷ □ = c, □ ÷ b = c
Answer
Difficulty
(year) – 1935 = ______
medium
a) 348
b) 3 297
c) 8
difficult
7. Develops processes for written
computation (multiplication and division)
OP-011
AR6
OP-012
OP1
OP-013
OP1
OP-014
OP1
OP-015
a. Uses his/her own processes as well as
materials and drawings to determine the
product or quotient of a three-digit natural
number and a one-digit natural number,
expresses the remainder of a division as a
fraction, depending on the context.
OP1
OP2
AR6
1. Determines the operation(s) to perform in
a given situation
5. Determines the missing term in an
equation (relationships between
operations):
a + b = □, a + □ = c, □ + b = c,
a – b = □, a – □ = c, □ – b = c
5. Determines the missing term in an
equation (relationships between
operations):
a + b = □, a + □ = c, □ + b = c,
a – b = □, a – □ = c, □ – b = c
5. Determines the missing term in an
equation (relationships between
operations):
a + b = □, a + □ = c, □ + b = c,
a – b = □, a – □ = c, □ – b = c
1.
OP2
AR6
1.
4.
OP-017
OP1
AR6
easy
a) 8 326
b) 2 463
medium
a) 3 674
b) 3 630
medium
a) 5 193
b) 5 563
medium
3. Develops processes for
written computation
3.
OP-016
1580 pencils
a. Adds and subtracts decimals
whose result does not go beyond
the second decimal Place
Determines the operation(s) to perform in
a given situation
Develops processes for
written computation
a. Adds and subtracts decimals
whose result does not go beyond
the second decimal Place
Determines the operation(s) to perform in
a given situation
Develops processes for written
computation (addition and subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
$2.63
medium
$191.12
easy
108 years
easy
1. Determines the operation(s) to perform in
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
Page 19
a given situation
Question
OP-018
OP-019
OP-020
Wheel
OP1
AR6
OP1
5. Determines the missing term in an
equation (relationships between
operations):
OP2
OP1
AR6
Answer
Difficulty
1976
medium
a) 611 b) 8 219
medium
$5.59
medium
1876
easy
8 boxes
easy
a
difficult
4. Develops processes for written
computation (addition and
subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
1. Determines the operation(s) to perform in
a given situation
AR6
OP-021
Math Concept (PoL)
a + b = □, a + □ = c, □ + b = c,
a – b = □, a – □ = c, □ – b = c
3. Develops processes for written
computation
a. Adds and subtracts decimals
whose result does not go beyond
the second decimal Place
1. Determines the operation(s) to perform in
a given situation
4. Develops processes for written
computation (addition and
subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
1. Determines the operation(s) to perform in
a given situation
7. Develops processes for written
computation (multiplication and
division)
OP-022
OP-023
OP1
OP1
AR6
OP-024
OP-025
OP1
OP1
a. Uses his/her own processes as well as
materials and drawings to determine the
product or quotient of a three-digit natural
number and a one-digit natural number,
expresses the remainder of a division as
a fraction, depending on the context.
4. Develops processes for written
computation (addition and
subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
1. Determines the operation(s) to perform in
a given situation
13. Using his/her own words and
mathematical language that is at an
appropriate level for the cycle,
describes
Next terms:
6, 9, 7
b. numerical patterns
c. series of numbers and family of
operations
14. Adds new terms to a series when
the first three terms or more are given
Pattern rule:
Start at 3, +3, -2
7. Develops processes for written
computation (multiplication and
division)
a. Uses his/her own processes as well as
materials and drawings to determine the
product or quotient of a three-digit natural
number and a one-digit natural number,
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
medium
Sarah -15 packs
Brother -6 cards
medium
Page 20
expresses the remainder of a division as
a fraction, depending on the context.
Question
OP-026
Wheel
OP1
AR6
OP-027
OP1
AR6
OP1
OP-028
AR6
AR2
OP-029
OP-030
OP1
OP1
AR6
OP-031
OP1
AR6
OP1
OP-032
AR6
OP2
OP-033
OP1
OP1
OP-034
AR6
Math Concept (PoL)
4. Develops processes for written
computation (addition and subtraction)
7. Develops processes for written
computation (multiplication and division)
1. Determines the operation(s) to perform in
a given situation
4. Develops processes for written
computation (addition and subtraction)
b. Uses conventional processes to
determine the sum of two natural numbers
of up to four digits
1. Determines the operation(s) to perform in
a given situation
4. Develops processes for written
computation (addition and subtraction)
7. Develops processes for written
computation (multiplication and division)
1. Determines the operation(s) to perform in
a given situation
7. Compares a fraction to 0, ½ or 1.
4. Develops processes for written
computation (addition and subtraction)
Answer
Difficulty
4 apples, 2 bananas, 3 pears
OR
2 apples, 1 banana, 6 pears
AND
difficult
Total = 9 pears or 18 pears
b
easy
$37
medium
medium
7. Develops processes for written
computation (multiplication and division)
4. Develops processes for written
computation (addition and subtraction)
b. Uses conventional processes to
determine the sum of two natural
numbers of up to four digits
11 years old
medium
40 minutes
difficult
19 cents
easy
132 cards
easy
1. Determines the operation(s) to perform in
a given situation
7. Develops processes for written
computation (multiplication and division)
a. Uses his/her own processes as well as
materials and drawings to determine the
product or quotient of a three-digit natural
number and a one-digit natural number,
expresses the remainder of a division asa
fraction, depending on the context.
1. Determines the operation(s) to perform in
a given situation
4. Develops processes for written
computation (addition and subtraction)
7. Develops processes for written
computation (multiplication and
division)
1. Determines the operation(s) to perform in
a given situation
3. Matches a fraction to part of a whole or
part of a group of objects, and vice
versa
4. Develops processes for written
computation (addition and subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
4. Develops processes for written
computation (addition and subtraction)
1. Determines the operation(s) to perform in
a given situation
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
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Possible Answer:
easy
Page 21
OP-035
Question
OP-036
OP-037
OP1
4. Develops processes for written
computation (addition and subtraction)
AR6
1. Determines the operation(s) to perform in
a given situation
Wheel
Math Concept (PoL)
OP1
OP1
AR6
OP-038
OP2
AR6
OP-039
OP-040
OP1
OP1
He will have to give
her 8 cards
difficult
Answer
Difficulty
13. Using his/her own words and
mathematical language that is at an
appropriate level for the cycle,
describes
Next terms:
b. numerical patterns
c. series of numbers and family of
operations
Pattern rule:
14. Adds new terms to a series when
the first three terms or more are
given
4. Develops processes for written
computation (addition and
subtraction)
c. Uses conventional processes to
determine the difference between
two natural numbers of up to four
digits whose result is greater than 0
1. Determines the operation(s) to perform in
a given situation
21, 28, 36
easy
Start at 0, +1, +2, +3,
…
c
easy
$70.15
easy
905 boxes
easy
36 cubes
medium
c
difficult
40 cubes
difficult
64 cubes
difficult
3. Develops processes for written
computation
a. Adds and subtracts decimals whose
result does not go beyond the
second decimal place
1. Determines the operation(s) to perform in
a given situation
4. Develops processes for written
computation (addition and
subtraction)
b. Uses conventional processes to
determine the sum of two natural
numbers of up to four digits
13. Using his/her own words and
mathematical language that is
at an appropriate level for the
cycle, describes
b. numerical patterns
c. series of numbers and family of
operations
OP-041
OP1
13. Using his/her own words and
mathematical language that is
at an appropriate level for the
cycle, describes
b. numerical patterns
c. series of numbers and family of
operations
OP-042
OP1
13. Using his/her own words and
mathematical language that is
at an appropriate level for the
cycle, describes
b. numerical patterns
c. series of numbers and family of
operations
OP-043
OP1
13. Using his/her own words and
mathematical language that is
at an appropriate level for the
cycle, describes
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
Page 22
b. numerical patterns
c. series of numbers and family of
operations
This document was created by:








Bob Butler, teacher, Chelsea, Western Quebec School Board
Christina Howard, teacher, Buckingham, Western Quebec School Board
Erin Kelly, teacher, St. John’s, Western Quebec School Board
Marco De Franco, teacher, Wakefield, Western Quebec School Board
Melissa Russell, teacher, Lord Aylmer, Western Quebec School Board
Patrizia Cusin, teacher, Greater Gatineau, Western Quebec School Board
Wendy Hamilton, teacher, Pierre-Elliott Trudeau, Western Quebec School Board
Phil Bazinet, Math Consultant, Western Quebec School Board
Mastery of Mathematical Concepts and Processes, Cycle 2.2, Operations
Last update: November 26, 2012
Page 23