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The year of the 4th grade is a continuation of the year of third grade, consolidating concepts already covered in geometry and calculation.

A better autonomy and initiative is expected from the 4th grade student.

During this school year, the fourth grader will learn about parallel and perpendicular lines, magnitudes and measures.

Skills required for a fourth grader to write a number in figures and letters.

Also geometry and calculus problems to assess their organizational skills and their ability to organize their reasoning and knowledge.

## Numbers and numerical calculation

Perform these problems.
You want to make jam, you need 80 g of sugar for 100 g of strawberries. You have 900 g of strawberries.
How much sugar will you need to make jam with all your strawberries?

A fence costs 250 euros for 25 meters. What is the price of 5 meters?

Graph and growth of a baby.

From the following chart, draw a graph of a baby’s growth.

Travelling by car.
It takes Mom 54 minutes a day to drive to and from work. She works
5 days a week.

How much time does she spend in the car to make these trips?

Gives the result in hours and minutes.

Amount of money.
Circle the sum or sums that make 100 €.

A : 23€ 17c + 17€ 30c + 59€ 53c

B : 1€ 50c + 22€ 30c + 76€ 50 c

C : 10€ 50c + 82€ 40 c + 7€ 10 c

Towels of toilet.

Mrs. Lepic bought 4 towels and a bath sheet. The sheet costs 15 euros. She has
paid a total of 47 euros.

How much does a towel cost?

Tricycles.

A store sells tricycles at 149 euros each. One day, it shows 25 euros off per
tricycle. On this day, a kindergarten buys 8 tricycles for the playground.

What will be the expense for this purchase? >

Perform the operations.
Installs and performs the following operations:

53,4 + 453,75 =

592,5 – 331,84 =

239,54 X 25 =

1440 : 32 =

Multiplication by multiples of 10.

Performs the following operations online:

5,35 x 10 = ………….
64,7 x 100 = ………….
0,435 x 1000 = ………….
2,45 x 100 = ………….
43,4 x 1000 = ………….
18,34 x 10 = ………….
Find multiples.
Circle the multiples of 20 in blue and the multiples of 25 in red.

30 75 120 42 125 60 115 90 80 50
3,2 2,50 1,05 2,3 1,25

Write a number in figures.
Write the numbers given in letters in figures:

Eighteen billion four hundred and fifty million.
Seven billion thirty-four million five hundred thousand.
Two hundred and twenty-four billion nine hundred thousand.
Five hundred and sixty-seven million eight hundred thousand .

Multiple :

Which unit, multiple or sub-multiple, will you choose to indicate the measure of the following masses?

– of a whale.

– of a child.

– of a chocolate bar.

Calculate:

Calculate, in grams, the mass of each of the objects:

 Object 500 g 200 g 100 g 50 g 20 g 10 g 5 g 2 g 1 g Mass A 1 0 1 0 1 1 1 1 0 B 0 1 1 1 0 2 0 2 1 C 0 1 2 0 1 0 1 1 0 D 1 1 1 1 0 1 1 1 1 E 1 1 2 1 1 0 1 2 1

Masses:

Indicate the number of marked weights required.

 Object 500 g 200 g 100 g 50 g 20 g 10 g 5 g 2 g 1 g Mass A 571 g B 809 g C 782 g D 975 g E 446 g

Complete

Complete the following equations.

1 kg = . . . g 1 hg = . . . g 1 dag = . . . g

1 t = . . . kg 1000 mg = . . . g 1kg 100g = . . . g

4 g = . . . mg 3000 mg = . . . g 2000 g = . . . kg

1 q = . . . kg

The units

What unit will you use to measure?

● the length of the yard. ● the distance between Paris and Lyon.

● the thickness of a notebook. ● the length of a notebook.

● the length of a pool.

Equalities

Complete the following equations.

1 m = . . cm 1 dm = . . cm 1 cm = . . . . mm

1 dam = . . m 5,000 m = . . km 10 000 m = . . . km

1 hm = . . . m 300 cm = . . m 20 mm = . . . cm

The hours

Write the times indicated by each clock.

Time measurement

Complete with the correct unit of measurement of time.

● A school day lasts 6.

● Summer, like the other seasons, lasts 4.

● The world record in the 100m is less than 10.

● Morning recess lasts less than 20.

● It takes several … to learn to play the piano.

Equalities to complete

Complete the following equations:

1 min = … s 1 h = … min 1 d = … h

1 h = … s 2 h = … min 5 min = … s

15 min = … s 120 min = … h 150 s = … min … s

5 min 20 s = … s

The cinema

The movie show starts at 7:00 pm and ends at 8:30 pm.

How long does the session last?

The bill

Place and perform the following additions.

11,29 + 3,4 = …

126,3 + 12,56 =…

1,12 + 217,3 =…

56 + 9,17 = …

412,15 + 98 =….

Subtraction

Pose and perform the following subtractions.

8,57 – 4,63 =…..

41,08 – 26,17 = …..

62,684 – 24,53 =……

49,648 – 12,7 =…….

62 – 41,09 =……..

Some products

Calculate the following products:

3,5 x 9 = …….

24,7 x 8 = ……

4,325 x 12 =……

14 x 7,5 = …….

34 x 2,08 = ……

The multiplication

Complete by performing the products without posing.

3,25 x 10 = … 4,8 x 10 =… 1,07 x 10 = … 3,25 x 100 = …

3,2 x 100 =… 0,2 x 100 = … 3,7452 x 1000 =…

0,4521 x 1000 = … 3,25 x 1000 = … 0,9 x 1000 = …

The quotients
Find the quotient and remainder of :

13 = (3 x … ) + … 17 = ( 3 x … ) + … 25 = ( 3 x … ) + …

38 = ( 5 x … ) + … 49 = ( 5 x … ) + … 40 = ( 6 x … ) + …

45 = ( 7 x … ) + … 50 = ( 8 x … ) + … 85 = ( 9 x … ) + …

The division

Determine the quotient by performing the divisions:

Games and sums

Five people, who played together, won €4,625 in the lottery.

Ä How much money does each of them get?

Result of a product

You put the result of each product without calculating.

5 x 10 = … 8 x 100 =… 9 x 1 000 = …

25 x 100 = … 12 x 1 000 = … 32 x 100 = …

60 x 10 = … 40 x 100 = … 200 x 100 = …

30 x 1 000 = ..

Calculate products

Place and calculate the following products.

24 x 7 = 52 x 9 = 428 x 7 = 63 x 47 = 925 x 58 =

At the butcher

Mom is shopping at the butcher’s. She buys a 3 kg pork roast at 17 € / kg and a 2 kg beef roast at 19 € / kg.

How much did she spend?

Complete the operations
Calculate quickly:

88 – 7 = . . 40 – 2 = . .

54 – 5 = . . 92 – 4 = . . 249 – 8 = . . 100 – 5 = . .

101 – 5 = . . 106 – 8 = . . 207 – 9 = . . 1000 – 5 = . .

Complete the operations

Place the sign <, > or = .

71 – 31 ….. 72 – 31 72 – 16 ….. 72 – 26 90 – 30 ….. 80 – 20

77 – 21 ….. 87 – 21 100 – 40 ….. 100 – 50 84 – 25 ….. 94 – 25

89 – 23 ….. 98 – 23 140 – 10 ….. 140 – 30 170 – 20 ….. 180 – 30

Subtractions

Put and perform: 375 – 195 = 4,527 – 2,936 =

15 700 – 987 = 26 584 – 6 748 = 94 502 – 16 789 =

The wool

Mom uses 600g of wool to knit a sweater and 180g less to make the matching cardigan.

How much wool is needed to make the vest?

The amounts

Quickly calculate the sums.

25 + 6 = . .

29 + 7 = . . 37 + 8 = . . 47 + 9 = . .

37 + 6 = . . 86 + 7 = . . 78 + 8 = . .

76 + 9 = . . 76 + 6 = . . 83 + 8 = . .

The bill

Place the sign <, > or = :

22 + 12 . 18 + 12 20 + 18 . 30 + 18 37 + 15 . 17 + 15

13 + 14 . 14 + 15 25 + 45 . 35 + 55 40 + 28 . 38 + 30

32 + 14 . 31 + 17 20 + 17 . 10 + 27 23 + 13 . 24 + 14

Place and perform the following additions:

28 + 79 =…. 1 856 + 97 =…. 89 507 + 9 586 =….

7 348 + 855 + 4 609 =…. 24 732 + 859 + 8 745 =….

A car

Mr. Sylvestre buys a car worth 14 100 €.

He orders, in addition, an option of 261 € and asks that his vehicle be equipped with a car radio at 116 €.

Calculate the total price of the car.

Two numbers

In each number, circle the number of :

– tenths: 8.6 – 18.433 – tens: 16.9 – 158.02

– of thousandths: 6.228 – 0.001 – of hundredths: 3.538 – 0.07

– of units: 2.4 – 125.08

Decompose

Decompose as in the example:

3 + 7/10 =…

5 + 3/10 + 8/100 = …

6 + 5/100 + 2/1 000 = …

8/10 + 5/100 = …

3/10 + 5/1 000 =…

Decompose these decimal numbers

Decompose as in the example.

25,69 = 25 + 6/10 + 9/100.

3,2 =…

45,36 =…

2,356 =…

30,58 = …

5,095 = …

Compare :

Complete with the appropriate sign: <,> or =.

 4,5 … 4,3 2,56 … . 2,57 4,6 ….. 4,7 1,29 …. 1,3 17,2 ….. 16,2 5,4 …. 5,28 42,9 …. . 43,1 9,03 …. 9,30 8 …… 8,5 39,00 ….. 39

Frame these decimal numbers

Complete with two integers .

 …. < 1.2 <… …. < 0.5 <…. …. < 7.6 <….. ….. < 7.16 <…. …. < 7,127 <…. …. < 9.2 <…. …. < 9.02 <…. …. < 9.002 <…. …. < 1.999 <…. . … < 2.001 <….

Fractions.
Write the following fractions in letters:

Compare two numbers

Put the appropriate sign (< or >):

9 999 10 000
20 500 20 499
1 000 000 200 000
153 190 153 900
50 520 50 499
253 620 262 530
7 399 000 7 000 499
8 899 11 100
1 999 999 2 000 000
9 999 18 888

Putting numbers away

Putting numbers away:

from smallest to largest: 57 431 – 75 413 – 57 341 – 75 134 – 57 413

from largest to smallest: 70 800 – 87 000 – 80 700 – 78 800 – 80 078

Framing numbers

Frame as in the example:
14 520 < 14 524 < 14 530

… < 728,423 <…
… < 839,645 <…
… < 750 826 <…
… < 8,061,975 <…
…< 3,299 451 <…

Decompose integers

Decompose as in the example:

3 050 480 = 3 000 000 + 50 000 + 400 + 80
25 472 = …
800 070 = …
2 506 030 =…
4 560 000 =…
20 005 009 =…

Decompose whole numbers
Decompose as in the example:

4 002 500 = (4 x 1 000 000) + (2 x 1 000) + (5 x 100)
4 750 = …
350 000 = …
2 060 050 =…
30 004 008 =…
5 040 600 = …

Decomposition

Decompose as in the example:

3,548,920 = 3 million, 548 thousand and 920 single units
28 940 = …
4 200 900 =…
1 507 600 =…
30 060 080 = …
600 004 000 = …

Finding whole numbers
What number are we talking about? Write it down.

8 000 + 500 + 30 + 9 = …
3 000 000 + 700 000 + 900 + 80 = …
(4 x 1,000,000) + ( 3 x 100,000) + (2 x 100) =…
(5 x 1,000,000) + ( 8 x 10,000) + (2 x 100) = …
21 million, 236 thousand and 905 single units =…

Writing integers in letters:
Writing in letters:

1 520 : …
8 100 000 :…
4 060 500 :…
2 003 040 :…
500 010 002 :…

Writing integers in numbers
Write the following numbers in figures:

five hundred thousand:…
three million four hundred thousand :…
two hundred million thirty thousand: …
thirty million two thousand: …
one million one : …

Circle the correct number
In each number, circle the number of :

tens of thousands: 9 711 104 – 18 750 812 – 109 426 200

units of millions: 2 396 376 – 3 456 003 022 – 18 452 251

hundreds of single units: 356 200 – 2 500 666 – 15 520 032 – 258

## Geometry worksheets  in 4th grade

Acute and obtuse angles.

Fill in the table, indicating with a cross whether the angle is acute, obtuse or right.

Calculate areas in ascending order.
Arrange the areas in ascending order.

Volume comparison.
Complete using < > or =

45 dl . 4,5 l
0,5 cl . 5 ml
50 cl 300 cl
3,640 l . 36,4 cl

Conversion.
Converted to the requested unit:
3 kg = ………. g
3 g = ………. dg
7000 kg = ………. t
8 q = ………. kg
4 t = ………. kg
400 g = ………. hg
15 dag = ………. g
3000 mg = ………. g
300 cg = ………. g

Complete a figure using a construction program.
From the segment [AB] already drawn, complete the figure using the
following construction program:

Write a construction program.

Write the construction program for this figure. Three steps are necessary.

Lines and geometry.
How are the lines (D1) and (D2)?

What does the segment [AB] represent for the circle with center A?

How many right angles are there in the figure?

Construction program.

Carry out this construction program.

Œ1. On a straight line, place the points A, B and C such that

AB = 2 cm; BC = 4 cm; B is between A and C.

Vocabulary and geometric construction.

Link each geometric object with the corresponding vocabulary.

Volume and capacity.

Use liter (L), millilitre (mL), centilitre (cL) or hectolitre (hL) to measure :

– a drop of water : … – a can of soda : …

– a carton of milk : … – an olympic swimming pool : …

– a baby’s bottle: …

Conversions

Perform the following conversions:

– 100 cL = … L – 100 L = … hL

– 3 hL = … lL – 5 L = … cL

– 100 mL = … cL

Complete the conversions

Complete with <, > or = .

– 1 L …. 10 cL – 1 hL … 10 L

– 1 000 mL … 1 L – 1 000 cL … 1 hL

– 14 hL … 1400 L

Bottles:
One winemaker produced 10,000 bottles of 75 cl wine.

– How many hectoliters of wine does he have?

The angles.

Place the sign <, > or = between the 2 angles of each figure.

Angles and nature

Tell, for each angle, if it is acute, obtuse or right.

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