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Mathematics 3.

Πίνακας περιεχομένων
Practice

{{exercise_number}}. Do the calculations. Check the results.

a)                                           Check:                                       b)                                   Check:
180\latex{ \div }20=
30\latex{ \times }4=
60\latex{ \times }3=
9\latex{ \times }70=
5\latex{ \times }80=
360\latex{ \div }6=
200\latex{ \div }5=
250\latex{ \div }50=
9
400÷80=5
180
630
400
60
40
5
120
60·6=360
180÷60=3
630÷70=9
120÷30=4
9·20=180
5·50=250
40·5=200
{{exercise_number}}. Write the missing factors in the squares marked.
·
240=
500=5·
=25·
=50·
·60=3·
·
=
=
·
·
=
=
=120·
30
1
80
4
2
6
20
8
40
10
20
25
500
100
{{exercise_number}}. Fill in the tables.
5
840
50
9
2
4
\latex{ \times }
20
70
30
60
240
480
720
\latex{ \div }
10
2
40
250
100
350
150
180
40
80
630
270
14
450
84
420
21
4
24
120
6
140
60
100
48
240
12
8
280
120
200
72
360
18
12
{{exercise_number}}. 
1

Sue and her friends are playing with coloured chips. At he

end of the game they calculate the value of their chips.

a) Continue filling in the table.

chip
4
100
50
20
10
points
Total points:
Edith
Benny
Mark
Alex
Sue
9
3
5
1
2
0
4
6
3
0
8
0
2
4
5
4
3
0
3
2
5
10
0
7
4×100+4×20+5×10+6×1=536
2\latex{ \times }100+3\latex{ \times }50+8\latex{ \times }10+7\latex{ \times }1=437
3×100+2×20+4×10+9×1=389
5×100+4×50+3×20+3×1=763
1×100+2×50+5×20+10×10=400
b) Complete the sentences to make the statements true.
chips.
Edith and Alex together have
Sue has
more points than Alex. Edith has
fewer points than Mark.
points than Mark.
\latex{ \textcolor{#0089d7}{\bullet} }
\latex{ \textcolor{#0089d7}{\bullet} }
\latex{ \textcolor{#0089d7}{\bullet} }
Benny would have the most points if he had twice as many
red
37
374
more
{{exercise_number}}. Which number did I think of? Write it down with operation. Calculate.
\latex{ \textcolor{#0089d7}{\bullet} }  The quotient is 8, the divider is 40:v
\latex{ \textcolor{#0089d7}{\bullet} } The dividend is 680, the divider is 20:
\latex{ \textcolor{#0089d7}{\bullet} } The multiplier is 9, the multiplicand is 30:
\latex{ \textcolor{#0089d7}{\bullet} } The product is 930, the multiplier is 3:
320
34
270
310
{{exercise_number}}. Calculate the products. Estimate first with values rounded to the nearest ten, and check afterwards with addition on paper.
Est.:
Check.:
Est.:
Est.:
Est.:
Est.:
197·5
+143
216·3
241·4
356·2
143·2
143
286
+
286
280
241
648
660
356
964
960
197
712
720
1000
985
648
216
216
216
+
+
+
964
241
241
241
712
356
985
197
197
197
197
{{exercise_number}}. Based on estimates, arrange the products in decreasing order by numbering them. Calculate and check if the order is correct.
780
720
840
800
700
750
132\latex{ \times }6
237\latex{ \times }3
415\latex{ \times }2
163\latex{ \times }5
349\latex{ \times }2
248\latex{ \times }3
3.
5.
1.
2.
6.
4.
{{exercise_number}}. Which numbers satisfy the calculations?
381 \latex{ \times }2<
:
>274\latex{ \times }2
381 \latex{ \times }2<
274 \latex{ \times }3>
143\latex{ \times }6<
:
:
763
820
821
859
549
764
860
861
819
765
961
...
,   ,   ,
,   ,   ,   ,
,   ,   ,   ,
...
...
{{exercise_number}}. 108 pairs appeared in the national folk dance festival.

b) The dancers appearing in the festival received 3 tickets each.

     How many tickets in total were handed out?

a) How many dancers took part in the festival?
{{exercise_number}}. Which digits do the letters represent in the calculations? Assemble the letters in the order of their increasing values to get a word.
920
0·2
860
172·
41
·2
3
5·3
7·4
834
975
548
U I
N
A
E
P T
I=
Solution:
N=
A=
E=
P=
T=
U=
6
5
7
2
1
3
4
petunie
{{exercise_number}}. Do the calculations.
1000
234
+137
·3
·2
-576
-279
+
781
371
371
742
742
166
166
498
498
219
219
{{exercise_number}}. 

b) The price of one rose is €9 including the decoration.

     The decoration costs €4 . How much do 5 roses cost

     without decoration?

a) Judy bought a book and a flower. The flower cost €5, the book cost

     twice as much. How much did Judy pay for both?

{{exercise_number}}. Do the calculations. Pay attention to the order of operations.
413\latex{ \times }2\latex{ -}258\latex{ \times }3=
239+7\latex{ \times }89=
2\latex{ \times }(517\latex{ - }316)=
467\latex{ - }126\latex{ \times }2=
143\latex{ \times }3+57\latex{ \times }6=
(176+97)\latex{ \times }2=
c)
a)
b)
{{exercise_number}}. Which number did I think of? Write it down with operation. Do the calculation.
a) The diffrence between 3 times 276 and 479.
b) 219 greater than 4 times 165.
{{exercise_number}}. The arrow always points to three times the number. Draw in the missing arrows.
c)
a)
b)
54
18
6
3\latex{ \times }9
2\latex{ \times }6
486
2
243\latex{ \times }4
162
1\latex{ \times }4
9\latex{ \times }27
162\latex{ \times }2
9\latex{ \times }4
5\latex{ \times }2\latex{ - }1
243\latex{ \times }3
3\latex{ \times }1
54\latex{ \times }2
9\latex{ \times }9
{{exercise_number}}. The stride of Don’s toy robot can be set between 1 cm and 18 cm.
How long strides must be set for the robot to complete the following distances with whole strides?
(Find several solutions.)
5 cm;
a) 
b) 
c) 
d) 
24 cm
20 cm;
12 cm;
{{exercise_number}}. 

b) Write the following numbers in the

          correct sections of the Venn diagram.

multiple of
a) Complete the statements in the Venn diagram.
divisible by
77
140
56
12
100
7
8
42
16
70
49
2
21
35
0
14
28
10
6
4
7
2
49
16
100
12
8
70
140
56
42
77
{{exercise_number}}. Connect the definitions with the corresponding shapes. Each shape is one whole.
1 sixth
1 fourth
1 half
1 third
{{exercise_number}}. Colour in one fourth of each drawing. Each rectangle is one whole.
{{exercise_number}}. Mark the fractions with colours in three different ways. Each rectangle is one whole.
 a) 1 third;                                                                         b) 1 fifth
{{exercise_number}}. 360 rolls were baked this morning in the bakery. More than a third of them have been sold before midday. How many can have been sold? How many remained for the afternoon?
remained
sold
230
160
130
220
210
220
190
180
170
140
150
160
170
180
190
200
{{exercise_number}}. Andy added up two numbers, and the sum was 960. One of the numbers was twice greater than the other. Which two numbers did Tom add up?
{{exercise_number}}. Write the correct relational signs in the squares.
+5
\latex{ - }5
0
b)
\latex{ - }5
a)
0
\latex{ - }2
+6
+2
0
+3
\latex{ - }1
\latex{ - }4
\latex{ - }5
\latex{ - }3
+4
\latex{ - }3
\latex{ - }7
\latex{ - }7
+5
\latex{ - }1
\latex{ - }6
\latex{ - }4
+1
<
>
>
<
>
<
<
<
>
>
 The number line will help.
{{exercise_number}}. Write the missing values in the blank spaces. Red means warming, blue means cooling.
1°C
6°C
°C
2°C
0°C
°C
\latex{ - }2°C
4°C
°C
°C
°C
°C
5°C
7°C
5°C
6°C
3°C
7°C
\latex{ - }3
\latex{ - }1
\latex{ - }1
+7
0
+4