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a solid foundation in basic reading and mathematics,
the government has developed strategies to improve performance by
Math worhsheets in 5th grade, bring a blank sheet of paper and your geometry materials.
The answers to these math exercises are available by becoming a member of Mathovore.The Primary Reading Strategy, adopted a year earlier, and to develop the
Elementary math strategy to help students improve their understanding
basic math skills and to begin to develop the skills of
mathematics that are essential in the 21st century.
The official curriculum in 5th grade
Success in mathematics at the primary level and thus in the early grades is of a
importance.
The mathematical understanding acquired during the
these first years (CP, CE1, CE2, CM1 and CM2) has important repercussions on the mastery of
mathematics during the following years of study.
Numerical Calculation worksheets :
Marbles
Loïc has 45 marbles more than Luc.
Luc has 123 marbles.
How many marbles does Loïc have?
Textbook
A mother buys textbooks for her son who is entering college.
For the purchase of 6 textbooks, she pays 78 €.
What is the average cost of a manual?
The principal of a school
A school principal needs to purchase gym mats for the school.
4 mats cost 240 €.
How much do 6 mats cost?
A tracksuit
Caroline buys a tracksuit that costs 67 € and a pair of tennis shoes that cost 25 € less than the tracksuit.
How much does she spend in total?
A meal
For a festive meal, a group of 12 friends order
at a caterer 12 fish shells at 3 € each,
12 portions of paella at 7 € a piece, a cake at 33 € and 3 bottles of wine at 9 € each.
a) What is the total amount paid by the 12 friends?
b) How much will each guest pay?
The parents
Sabrina’s parents want to buy a bookcase costing 704 €, a wardrobe worth twice the bookcase and
a table worth half of the library.
a) How much did they spend?
They buy 4 more chairs. For all this furniture they have calculated that they will spend 2800 €.
b) What is the price of the four chairs?
And what is the price of a chair?
Find a number.
I chose a number. It is composed of 14 thousands, 12 hundreds, 735 tens
and 25 units.
What is the number I chose?
Logic problems.
1. Which sport?
Nathalie, Stéphanie, Michaël, Olivier and Thomas all practice a different sport:
horseback riding, swimming, soccer, tennis and cycling.
Find the sport of each, knowing that
– Girls do not play sports with balls.
– Michaël, Nathalie and Thomas do not like water.
– Nathalie, Olivier and Thomas do not like animals.
– Michaël plays a team sport.
2. Who is the tallest?
Pascal, Christopher, Morgan and Bilal are four friends.
Pascal is taller than Christopher.
Christopher is taller than Bilal.
Morgan is shorter than Pascal, but taller than Christopher.
Arrange the four buddies from smallest to largest.
The shirts
A seamstress made shirts.
She has already completed 19 red shirts and 15 yellow shirts.
Every day she makes 2 new red shirts and 3 new
yellow shirts.
How many days will it take for him to have the same number of red shirts as he has of
yellow shirts ?
Gold coins
In a chest there are 5 boxes, in each chest there are 5 boxes, in each box
there are 5 gold coins.
The trunk, all boxes and crates are locked with a padlock.
How many locks will you need to open to get 60 gold coins?
Food of an elephant.
In a zoo, an elephant eats 85 kg of clover, 22 kg of carrots and 19 kg of oats every day.
How much food do two elephants eat in 20 days?
Food of a gorilla.
A 400 kg gorilla eats 30 kg of food per day.
Calculate, in kg, the amount of food eaten for the two months of June and July.
The trunk of a car.
In the trunk of a car, 6 identical boxes were stored, each containing 8 cans of paint. Each of these boxes weighs 800 grams.
a) Calculate, in g, the total mass of the boxes placed in the trunk of this car.
b) What is this mass in kg?
Coffee maker and pod.
Melanie has 65 €. She wants to give her parents a coffee maker and pods for
that they can use it right away. She wants to buy the following items: a coffee maker
69€90 and a set of pods for 2€90.
How much does he need to buy both items?
Price of a movie ticket.
This Friday night, the Odyssey cinema made a profit of 3850 €.
Knowing that a seat is worth 7 €, how many spectators were there that night?
Whale problem.
The largest whales, those of the blue whale species, can
measure up to 30 meters. They weigh, in tons, five times their length.
How much does a whale weigh?
Mathematics problems.
1. Mrs. Arleti, who is 57 years old, is 11 years younger than her husband.
How old is Mr. Arleti?
2. In 1989, there were 315 gorillas in Central Africa.
Currently, there are 65 more.
3. Berenice buys a bike and a helmet.
She pays 169,90€.
What is the price of the bike?
Proportionality problems.
1. Discovery.
Daphne buys 3 identical necklaces. She pays 12 €.
Mary buys 6 of them. How much will she pay?
Ninon buys 9 of them. How much will she pay?
Pauline buys only 1. How much will she pay?
Mary buys 5 of them. How much will she pay?
Emilie buys 7 of them. How much will she pay?
Julie hesitates.
She doesn’t know exactly how much she’ll buy yet.
But she wants to be able to predict her expenses if she buys 4, 8, 10 or 12.
Help her plan her expenses by completing the following chart.
Number of collars
Price
2. To find the answer to the following problems, use the “mental calculation” technique.
a) Odile buys two packages of rice and pays 3 €.
What is the price of 4 packages?
b) Pascal buys 6 packages of candy and pays 12 € at the cash register.
How much do you pay for 3 packages?
c) Jeremy buys 2 baguettes and pays 2€.
How much do 10 chopsticks cost?
3. To find the answer to the following problems, first find the price of a single item.
a) Mrs. Pik buys two identical cars for her twins.
She pays 12 €.
How much would she have paid if she had bought 5?
b) Matthew buys two packages of cakes and pays 5 €.
How much do 7 packages cost?
4. Find the answer to each problem using the cross product.
a) For a party, Nadia buys 4 identical gifts and pays 32 €.
How much does a single gift cost?
b) For himself and his friends, Mr. Curious buys six tickets from the cashier at the Museum of Fine Arts.
He is asked to pay 30 €.
How much do five tickets cost? And the price of 9 tickets?
c) To make a pear clafoutis for 4 people, you need 6 egg yolks.
How many yolks do you need for a clafoutis for 6 people?
5. Find the answer by drawing a table for each exercise.
a) In a bakery, three tarts cost 6 €.
How much are 5, 7, 15 or 20 tarts?
b) 10 notebooks cost 30 €.
How much are 30, 35, 40 or 50 notebooks?
6. Use the technique that suits you to find the answers.
a) In a bakery, two buns cost 8 €.
How much do 7 buns cost?
b) Julie buys four bars of chocolate and pays 10 €.
How much do 9 tablets cost?
Vacation problem.
For their vacations, Paul and his family decide to make a big trip to France
to visit some of the major cities.
They leave from Paris to Lyon, then Marseille, Nice, Toulouse, Bordeaux and back to Paris.
a) Draw a diagram of the journey made by Paul’s family (the stages and
the distances between each stage).
b) Calculate the distance traveled by Paul’s family.
Page problem.
Since Pierre’s birth, his parents have celebrated his birthday every year.
Each time there was a cake with the number of candles corresponding to Peter’s age (ex. at 2 years, 2
candles).
On a given birthday, Peter’s parents calculated that since his birth they had used 45 candles.
How old is Peter on this particular birthday?
Problem of sizes.
Five children competed.
Marie is less tall than Luc, Caroline and Emilie.
Luc is less tall than Caroline.
Thomas is less tall than Luke and Mary.
Emilie is less tall than Luc and Caroline.
Arrange these children from smallest to largest.
Camping.
Rectangular land.
Hagrid, an unusual rancher, buys a piece of land
rectangular of 56m length and 43m width to put in
safety of his two favorite dragons, Azrix and Pilfox. He builds a
12m high wall around this land.
After making an annotated diagram, calculate the total length of the wall.
Soccer meeting.
A soccer game ended at 4:30 pm. Knowing that the duration of a soccer match
(including rest) is 1h45, when did the meeting start?
Time.
An opera starts at 8:30 pm. Its duration is 1h25.
At what time will the opera end?
Library.
Sabrina’s parents want to buy a bookcase costing 704 €, a cupboard worth twice the bookcase and a table worth half the bookcase.
a) How much did they spend?
They buy 4 more chairs.
For all this furniture they have calculated that they will spend 2800 €.
b) What is the price of the four chairs? And what is the price of a chair?
Festive meal.
For a festive meal, a group of 12 friends order from a caterer 12 fish shells at 3 € each, 12 portions of paella at 7 € each, a cake at 33 € and 3 bottles of wine at 9 € each.
a) What is the total amount paid by the 12 friends?
b) How much will each guest pay?
Tracksuit.
Caroline buys a tracksuit that costs 67 € and a pair of tennis shoes that cost 25 € less than the tracksuit.
How much does she spend in total?
Carpet.
A school principal needs to purchase gym mats for the school.
4 mats cost 240 €.
How much do 6 mats cost?
Textbook.
A mother buys textbooks for her son who is entering college.
For the purchase of 6 textbooks, she pays 78 €.
What is the average cost of a manual?
Marbles.
Loïc has 45 marbles more than Luc. Luc has 123 marbles.
How many marbles does Loïc have?
Units of measurement.
Read the text and complete with the correct units of measurement.
Benoît is going to leave for a big 5 days hike. It will travel about 80 km.
On his travel notebook, he noted a lot of information, but in
Dazed, he forgot to note the units of measurement:
Example: Length of the total route: 80 kilometers……….
Kiwi and apple.
The weight of a kiwi is half that of an apple.
The apple weighs 200 grams.
How much do an apple and a kiwi weigh?
Sale of motorcycles.
Mr. MARTIN has sold his motorcycle.
With this money, he buys a TV for 400, and has 65 left.
What price did he sell his bike for?
Dairy cows.
M. LEBOEUF has 4 dairy cows.
Each cow produces 20 liters of milk per day.
How many liters of milk does Mr. LEBOEUF’s farm produce per day ?
Operations and mental calculation.
Calculate in your head and write down the results.
a) Divisions
128 : 2 =
820 : 4 =
3500 :10 =
450 : 5 =
b) Multiplications
7 x 4 x 5 =
700 x 80 =
32 x 7 =
15 x 11=
c) Subtractions
258 32 =
850 – 70 =
72 – 9 =
102 – 13 =
812 – 500 =
Multiplication and calculation.
1. Calculate 432 x 32.
2. Calculate 594 x 45.
Numbers and vocabulary.
a) Write the answers to the questions:
What is twice as much as 1080?
What is half of 826?
What is the triple of 109?
What is the quadruple of 204?
b) Complete using the following expressions:
double, half, quadruple, triple
6,402 is …… of 3,201.
1 604 is …… of 401.
2,094 is …… of 698.
5,000 is …… of 10,000.
Compare decimal numbers.
On each point, place the sign < or the sign > between the two numbers.
111 010 …..101 100
111 111 ….. 10 986
629 413 ….. 629 431
25 831 275 ….. 128 301 426
87 490 603 ….. 88 049 306
Write a number.
Write this number in words.
15 603 .
Write this number in words.
5 083 000 .
Write this number in numbers.
five hundred and forty thousand and twentyseven .
Write this number in numbers.
twelve million six hundred and thirtytwo thousand seven hundred and twentynine .
Mass problem.
A tiger in captivity eats about 38 kg of meat per week.
How much meat is needed each year to feed the 14 tigers in the zoo?
Reading information.
Here are the summer schedules for the town hall and the pool:
City Hall
Please note that during the months of July and August, the services of the town hall will be closed to the public on Wednesdays all day, the other days the schedule remains unchanged.
Open Monday, Tuesday, Thursday from 9am to 12pm and from 1:30pm to 7pm, Saturday from 9am to 12pm.
Pool
Tuesday from 10am to 12pm and from 2:30pm to 7:30pm.
Wednesday from 2:30 to 7:30 pm.
Thursday from 10am to 1:15pm and from 2:30pm to 7:30pm.
Friday from 10am to 12pm and from 2:30pm to 10pm.
Saturday from 12pm to 7:30pm.
Sunday from 10am to 1pm and from 3pm to 7pm.
a) What are the opening hours of the town hall on Tuesday?
b) What day does the pool close at 10:00 pm?
c) How many hours is the pool open during the week?
Multiples of 2,5,10.
Can these numbers be divided (without remainder) by 2, 5, 10?
2 
5 
10 

5 125 
no 
yes 
no 
4 581 

2 540 

15 684 

65 115 

320 000 

45 692 

48 510 

4 756 
Complete these numbers so that they can be divided by 2, 5 and 10 at the same time.
25 62 … 4 57…
From fraction to decimal number.
1) Write in the form of a decimal number:
45 tenths: ……..
734 hundredths: ……..
60 tenths: ……….
406 thousandths: ………
3 hundredths: ………..
40 > =……. 385 > = ……. 2007 > =
1000 10 100
2) Write as a decimal fraction
0,006 =
0,54 =
4,765 =
64,5 =
0,54 =
Packages of 1000.
1°) Write in letters
3210 :
2°) Fill in the table for the number 5 613 and decompose it in 2 ways:
packages of 1000, i.e. :  x1000  
packages of 100, i.e. :  x100  
packages of 10, i.e. :  x10  
packets of 1, i.e. :  x1  
5 613 =
Decompose decimal numbers.
Decompose the following decimal numbers: Example: 76.18 = 70 + 6 + 0.1 + 0.08
562,03 =  ………………………………………………………………………………… 
78,49 =  ………………………………………………………………………………… 
271,231 =  ………………………………………………………………………………… 
300,406 =  ………………………………………………………………………………… 
65,05 =.  ………………………………………………………………………………… 
78,5 =  ………………………………………………………………………………… 
220,48 =  ………………………………………………………………………………… 
703,64 =  ………………………………………………………………………………… 
8 324,48 =  ………………………………………………………………………………… 
920,807 =  ………………………………………………………………………………… 
6,2548 =  ………………………………………………………………………………… 
4,208 =  ………………………………………………………………………………… 
45,507 =.  ………………………………………………………………………………… 
800,576 =  ………………………………………………………………………………… 
9,457 =  ………………………………………………………………………………… 
620,24 =  ………………………………………………………………………………… 
507,65 =  ………………………………………………………………………………… 
8 000,245 =  ………………………………………………………………………………… 
5,3248 =  ………………………………………………………………………………… 
Geometry exercises in CM2.
Axial symmetry and figures.
Read a map.
Look at the map of Avranches and answer the questions.
a) What are the coordinates of the plant garden? What about the ones from the city hall?
b) St. Marino Street is located in C3 and C4. Between which streets are they located?
c) Paul Primaux Street is located in B4. Write the name of a street parallel to the
Paul Primaux Street.
d) Write the names of two streets that start from the Angot square located in D4.
e) Helen goes from the tourist office (C2) to the market place (D1). Indicates
a possible short route.
Perimeter calculation.
Calculate the perimeter of the following figures:
Lengths and perimeters.
a) Find the measure of the sides of a square with a perimeter of 36 cm.
b) Find the length of a rectangle whose width is 5 cm and whose perimeter is 24 cm.
c) Find the measure of the sides of an equilateral triangle with perimeter 39 cm.
Central symmetry and constructions.
Write a construction program.
Write a construction program for each of the following figures:
Geometry vocabulary.
Answer the following questions.
a) What is an isosceles triangle?
b) What do you call a triangle that has three sides of different sizes?
c) Is a rectangle a quadrilateral? Explain.
d) What is special about the sides of a parallelogram?
e) What sign means perpendicular?
And what is the sign that means parallel?
f) Why is a square a particular (special) rhombus?
Geometric constructions.
Draw a line (d1).
Place a point A on the line and a point B off the line.
Draw the line (d2) perpendicular to (d1) that passes through B.
Then draw the line (d3) perpendicular to (d1) and passing through A.
Parallel lines
Draw 2 parallel lines 3 cm apart using the technique of your choice.
A square
Draw a square ABCD of 6 cm side with the square and the compass.
Call I the middle of [AB] and then draw, outside the square, the half circle with center I and radius IA.
Finally, draw the circle C 1 with center A and radius AI.
A diamond
Draw a rhombus of side 4 cm.
A triangle
Draw the triangle ALI such that [AL] = 4 cm, [LI] = 3 cm and [AI] = 5 cm.
Then draw the equilateral triangle AEL (we already know [AL] ).
A rectangle
Construct the rectangle IJKL such that IJ = 6 cm and JK = 3 cm.
O is the middle of [IJ].
Draw the circle with center I and radius [IO].
M is the middle of [LK].
Draw the semicircle of center M and diameter [LK] inside the rectangle IJKL.
Axial symmetry of a figure.
Construct the symmetrical figure with respect to the line.
Axial symmetry
Construct the symmetrical figure by axial symmetry.
Construct a circle.
Take a good look at this map and solve this problem.
Martin is hidden less than 5 cm from the house, more than 2 cm from the river, more than 3 cm from the tree.
Color the area where you can look for it.
1 cm corresponds to 5 m.
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