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Mathematics 3.

Πίνακας περιεχομένων
DIVISION WITH NUMBERS 1-1000
{{exercise_number}}. Write it down with an operation and calculate.

a) We have 18 pencils. How many children will get pencils, if each child gets

We divide 24 hazelnuts equally among children. How many nuts will each child
get, if we divide them among
I have 12 strawberries. How many plates do I need if I want to
b)
c)
divide the strawberries in two equal portions?
put 3 strawberries on each plate?
put 4 strawberries on each plate?
18÷6=3
18÷3=6
18÷2=9
18÷9=2
6 pencils;
3 pencils;
2 pencils;
9 pencils;
3 children;
4 children;
8 children;
6 children;
24÷3=8
24÷4=6
24÷8=3
24÷6=4
12
3
4
{{exercise_number}}. Write the missing numbers in the squares.
36÷6=
18÷2=
50÷ =10
÷6=5
27÷3=
35÷7=
42÷ =6
÷5=4
45÷5=
28÷4=
14÷ =7
÷3=7
63÷9=
56÷8=
72÷ =8
÷8=8
6
9
9
7
9
5
7
7
5
7
2
9
30
20
21
64
{{exercise_number}}. Establish the rule and continue filling in the chart accordingly.
54
48
35
81
15
16
96
9
8
7
9
3
6
4
6
6
5
2
17
=
\latex{ \div }
=
\latex{ \div }
=
\latex{\times}
68
8
16
5
9
{{exercise_number}}. Which is greater? Write the correct relational signs in the squares.
a)
b)
35\latex{ \div }5
60\latex{ \div }6
35\latex{ \div }7
80\latex{ \div }8
35\latex{ \div }7
25\latex{ \div }5
24\latex{ \div }4
45\latex{ \div }9
70\latex{ \div }7
16\latex{ \div }2
7\latex{ \div }7
8\latex{ \div }4
49\latex{ \div }7
32\latex{ \div }4
56\latex{ \div }8
72\latex{ \div }8
>
=
=
>
=
=
>
<
{{exercise_number}}. Write the missing numbers in the squares.
6
6
7
80
times 2
times 3
times 5
times 10
half
one third
one fifth
one tenth
12
2
35
8
{{exercise_number}}. Write division with a remainder describing the pictures.
÷ =
÷ =
· + =
· + =
13
2
6
6
2
1
13
11
4
2
3
1
11
3
4
2
{{exercise_number}}. Do the division with remainder. Check the results.
43\latex{ \div }7
59\latex{ \div }5
24\latex{ \div }7
65\latex{ \div }9
38\latex{ \div }4
47\latex{ \div }6
The names for each number in a division:
The remainder is always smaller than the divisor.
dividend
remainder
26 ÷ 4 = 6
2
divisor
quotient
{{exercise_number}}. Write it down with an operation and calculate.
What is the quotient if the dividend is 16, the divisor is 2?
What is the divisor if the dividend is 32, the quotient is 8?
What is the dividend if the divisor is 5, the quotient is 8?
What is the remainder if the dividend is 29, the divisor is 9?
What is the dividend if the divisor is 3, the quotient is 5 and the remainder is 2?
{{exercise_number}}. Write the correct letters in the boxes before the statements. A: certain, B: possible, C: impossible.
The divisor is 4, the remainder is 6.
The remainder is smaller than the divisor.
The divisor is greater than the
quotient.
In the case of dividing by 3 the remainder
is 0, 1 or 2.
C
A
B
A
{{exercise_number}}. 
Mario is collecting coins. One half of a quarter of his coins is 8. How many coins does he have?
I thought of a number. I divided half of it by 3, and I got a quotient of 7 with a remainder of 2. Which number did I think of?
a)
b)
\latex{ \div }4
\latex{ \div }2
8
64
16
{{exercise_number}}. Calculate the quotient following the example.
48÷4=
40÷4+8÷4= + =
24÷2=
39÷3=
75÷5=
10
2
12
÷ + ÷ = + =
÷ + ÷ = + =
÷ + ÷ = + =
12
13
15
2
10
2
4
2
20
30
3
9
3
10
3
50
5
25
5
10
5
{{exercise_number}}. a) Divide the money in the piggy banks into three equal parts. Use toy money.
÷ =
÷ =
÷ =
Check:
6
3
2
60
3
20
600
3
200
2
3
6
· =
· =
20
3
60
200
3
· =
600
b) Write division describing the drawings.
15÷5=
÷ =
÷ =
÷ =
Check:
· =
3
150
50
3
10
2
5
100
20
5
· =
· =
· =
100
20
5
10
2
5
150
50
3
15
5
3
{{exercise_number}}. Do the division. Check with multiplication.
Check:
Check:
8 \latex{ \div } 2 =
80 \latex{ \div } 2 =
800 \latex{ \div } 2 =
6 \latex{ \div } 3 =
60 \latex{ \div } 3 =
600 \latex{ \div } 3 =
24 \latex{ \div } 4 =
240 \latex{ \div } 40 =
16 \latex{ \div } 8 =
160 \latex{ \div } 80 =
27 \latex{ \div } 3 =
270 \latex{ \div } 30 =
4
40
400
2
20
200
6
6
2
2
9
9
· =
· =
· =
· =
· =
· =
· =
· =
· =
· =
· =
· =
4
2
8
40
2
80
400
2
800
2
3
6
20
3
60
200
3
600
6
6
4
24
40
240
2
2
9
9
8
80
3
30
16
160
27
270
{{exercise_number}}. I want to display 200 cent with toy money so that I only use coins of the same amount. How many coins do I need of each value?
¢
¢
÷ =
¢
¢
÷ =
200
2
100
200
¢
÷ =
5
¢
40
200
200
200
10
20
50
20
10
4
÷ =
÷ =
÷ =
¢
¢
¢
¢
¢
¢
:
:
:
:
:
:
200
200
1
{{exercise_number}}. Write the missing numbers in the squares.
a)
b)
320
630
450
360
240
180
\latex{ \div }40
\latex{ \div }10
\latex{ \div }4
\latex{ \div }10
\latex{ \div }5
\latex{ \div }10
\latex{ \div }6
8
9
4
24
45
32
9
63
36
4
18
6
\latex{ \div }
\latex{ \div }
\latex{ \div }90
\latex{ \div }30
\latex{ \div }70
50
60
\latex{ \div }
\latex{ \div }
\latex{ \div }
\latex{ \div }
\latex{ \div }
\latex{ \div }
3
10
9
10
7
10
{{exercise_number}}. Fill in the tables.
\latex{ \div }
2
20
4
40
160
360
120
400
80
8
40
4
180
18
90
9
60
6
30
3
200
20
100
10
\latex{ \div }
3
30
9
90
360
180
270
450
120
12
40
4
60
6
20
2
90
9
30
3
150
15
50
5
{{exercise_number}}. Which is greater? Write the correct relational signsin the squares.
a)
36 \latex{ \div } 6
360 \latex{ \div } 60
b)
320 \latex{ \div } 8
400 \latex{ \div } 8
c)
420 \latex{ \div } 7
280 \latex{ \div } 7
180 \latex{ \div } 3
180 \latex{ \div } 30
25 \latex{ \div } 5
250 \latex{ \div } 50
240 \latex{ \div } 40
240 \latex{ \div } 4
60 \latex{ \div } 5
60 \latex{ \div } 10
48 \latex{ \div } 6
480 \latex{ \div } 80
540 \latex{ \div } 90
54 \latex{ \div } 9
=
<
>
>
=
<
>
>
=
{{exercise_number}}. Write the missing numbers in the squares.
240÷ =60
240÷ = 6
240÷ =80
240÷ = 8
200÷ = 50
450÷ =90
200÷ = 5
200÷ =100
200÷ = 10
450÷ = 9
450÷ =50
450÷ = 5
4
40
30
3
4
5
40
50
2
9
20
90
{{exercise_number}}. Answer the following questions.
Half of a number is 120. How much is one twentieth of it?
One twentieth of a number is 19. How much is one half of it?
One hundredth of a number is 7. How much is one tenth of it?
One tenth of a number is 40. How much is one hundredth of it?
120
÷ 20 =
\latex{ \div }
÷ 2 =
\latex{ \times }
10
10
12
{{exercise_number}}. Write the missing numbers in the squares.
150÷ =30
560÷ =80
630÷ =90
420÷ =70
÷90=9
÷50=8
÷80=6
÷70=7
÷ 6=50
÷ 2=90
120÷ =6
360÷ =6
5
7
7
6
810
400
480
490
300
180
20
60
{{exercise_number}}.
We cut a 5 m long ribbon into half metre long pieces. How many pieces of ribbon do we have?
a)
There are 20 minute long fairytales recorded on a 240 min long videotape. How many tales in total can be recorded on the tape?
b)
30 kg of apples can be stored in one crate.
How many crates do you need to store 180 kg of apples?
c)
The rainwater collected in a 220 litre barrel was poured into 20 litre vessels. How many vessels were needed?
d)
{{exercise_number}}. The charts shows the number of marbles sold in 6 months in a toy shop. 60 marbles were sold in January.
a) Complete the diagram according to the chart.
January
February
March
April
May
June
60 pcs
120 pcs
90 pcs
30 pcs
120 pcs
150 pcs
January
February
March
April
May
June
1st quarter
2st quarter
= 30 marbles

b) Answer the questions.

How much does one marble cost if the price of the marbles sold in April is €?

How many marbles can you buy for 180 Ft?

How many times more marbles were sold in May than in January?

What fraction is the number of marbles sold in April of the number sold in June?

How many more marbles were sold in the 2nd quarter of the year than in the 1st?

{{exercise_number}}. Write the missing numbers in the blank spaces.
120
\latex{ \div }4
\latex{ \div }5
\latex{ \div }2
\latex{ \div }3
\latex{ \div }5
\latex{ \times }15
\latex{ \times }5
\latex{ \times }4
\latex{ \times }6
\latex{ \div }6
30
6
90
45
15
60
300
100
20
{{exercise_number}}. Do the division. Check the results.
Check:
Check:
12÷1=
12÷2=
12÷3=
12÷4=
12÷5=
12÷6=
12÷ 7=
12÷ 8=
12÷ 9=
12÷10=
12÷11=
12÷12=
Circle those divisors where the remainder is 0.
12
6
4
3
2
2
1
1
1
1
1
1
1·7+5=12
1·8+4=12
1·9+3=12
1·10+2=12
1·11+1=12
1·12=12
12·1=12
6·2=12
4·3=12
3·4=12
2·5+2=12
2·6=12
0
0
0
0
0
0
5
4
3
2
1
0

12 is divisible by 1, 2, 3, 4, 5, 6 and 12.

1, 2, 3, 4, 6 and 12 are divisors of 12.

12 is the multiple of 1, 2, 3, 4, 5, 6 and 12.

12 is not divisible by 5, 7, 9, 10, 11, 13 ...

{{exercise_number}}. Do the division. Complete the sentences.
28÷4=
200÷10=
150÷50=
21÷2=
4 is
150 is
of 28.
by 50.
200 is
of 10.
21 is
by 2.
divisible
not divisible
divisors
multiple
7
20
3
10
{{exercise_number}}. Cross out the numbers that don't belong to the Venn diagrams.
divisors of 16
divisors of 24
divisors of 100
5
6
8
2
16
1
3
10
6
4
7
20
8
12
2
3
20
10
5
9
50
100
1
40
{{exercise_number}}. 
Write these numbers in the Venn diagrams: 25, 40, 18, 22, 30 ,10, 35.
a)
Circle those numbers which appear in both Venn diagrams.
b)
multiples of 5
multiples of 2
multiples of 5
multiples of 2
25
40
30
10
35
40
18
22
30
10
18
22
40
30
10
25
35
{{exercise_number}}. Adam can walk through only the doors marked with the multiples of 4. For Rebecca only the doors marked with the multiples of 3 are open. Draw their paths with different colours.
16
14
32
21
23
9
19
12
38
25
13
24
27
30
18
28
34
5
22
44
15
51
33
20
43
37
52
53
Rebecca
Adam
{{exercise_number}}. Write the numbers from 1 to 25 in the appropriate fields of the set diagram. Write statements that apply to the fields marked with orange.
1
2
7
11
13
14
17
19
22
23
60
40
30
15
20
12
24
4
8
16
25
5
10
9
6
3
18
21
divisible by 3
divisible by 4
divisible by 5
a)
b)
c)
d)
e)
f)
{{exercise_number}}. 
Which digit must be in the units' place in the three-digit number
to make it
divisible by 2:
a multiple of 5:
divisible by 10:
divisible by 5, but not divisible by 10:
a multiple of both 2 and 5:
0
2
4
6
8
0
5
0
5
0
1
2
,
,
,
,
,
{{exercise_number}}. Which numbers do the statements apply to? Write them down.
a) Divisible by 70, greater than 280 and smaller than 420:
b) Multiplied by 2 the number is smaller than 350:
c) Greater than the half of 900, divisible by 80:
350
170
140
560
720
,
,
170
280
560
140
350
190
420
720
{{exercise_number}}. Write the missing factors in the blank spaces.
48
6
8
2
2
2
24
4
3
24
120
30
2
2
5
3
4
2
2
2
2
6
4
15
2
3
{{exercise_number}}. Form two-digit numbers using the digits 2, 5 and 4 according to the criteria. You may use one digit more than once.
even number:
the multiple of 5:
divisible by 3:
the multiple of 4:
22
24
42
44
,
,
,
25
45
,
,
24
44
,
52
24
,
42
45
,
,
54
{{exercise_number}}. 
multiples of 2
multiples of 4
multiples of 6
Write the numbers in the Venn diagram.
24, 30, 18, 14, 100, 2, 75, 32, 1, 120
Decide whether the statements are true or
false. Write the letter T or F in the squares.
a)
b)
The multiples of 4 are also multiples of 2.
The multiples of 2 are also multiples of 6.
The multiples of 2, 4 and 6 are even numbers.
There is a number which is the multiple of
6 but not the multiple of 2.
There is an even number, which is not the multiple of 6.
14
2
100
32
120
24
30
18
1
75
T
F
T
F
T
{{exercise_number}}. 
Colour in the drawings by numbers.
multiples of 3
divisible by 5
multiples of 7
divisible by 8
27
9
6
250
65
32
100
5
28
63
77
14
88
8
16
32
12
18
6
12
{{exercise_number}}. 
a) I gave every third cherry of my 60 cherries to my brother. Every second cherry of what remained went to my girlfriend, and I kept what was left to myself. How many cherries did each of us get?
b) Aunt Lizzie took more than 50 but fewer than 70 eggs to the market. She couldn’t pack them in boxes by sixes or tens without some being left out, but she managed to put all of them in the boxes by eights. How many eggs did she take to the market?