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Mathematics 3.

Πίνακας περιεχομένων
MEASURING VOLUME
{{exercise_number}}. Write the appropriate unit (l, dl) on the blue line.
yoghurt:
2
soft drink:
3
mineral
water:
5
washing-
up liquid:
1
dl
dl
dl
l
Litre (l) and
(dl) are units of volume.
1 l = 10 dl.
decilitre
{{exercise_number}}. Measure the volume of these vessels to litre and decilitre accuracy. Estimate first.
jug
vase
estimate
measure-
ment
estimate
measure-
ment
jug
vase
estimate
measure-
ment
estimate
measure-
ment
l
l
l
l
dl
dl
dl
dl
l
l
l
l
dl
dl
dl
dl
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00

{{exercise_number}}. 

The jug holds 3 litres of tea. Write in the table how many times you can fill the glasses of various volumes.
volume of the glass
number of glasses
2 dl
3 dl
5 dl
1 l
15
10
6
3

{{exercise_number}}. Do the conversions.

6 l =
4 l 3 dl =
dl
dl
16 l =
18 l 7 dl =
dl
dl
30 dl =
48 dl =
l
l
dl
a)
b)
60
43
160
187
3
4
8

{{exercise_number}}. Write the missing figures in the squares.

a)
b)
l < 27 dl <
l
l < 209 dl <
l
l < 871 dl <
l
52 dl \latex{ \approx }
l
245 dl \latex{ \approx }
l
189 dl \latex{ \approx }
l
487 dl \latex{ \approx }
l
2
3
5
20
21
25
87
88
19
49

{{exercise_number}}. Do the calculations with the volumes.

56 dl + 17 dl =
dl =
l
dl
127 dl + 25 dl =
dl =
l
dl
248 dl - 122 dl =
dl =
l
dl
465 dl - 231 dl =
dl =
l
dl
73
7
3
152
15
2
126
12
6
234
23
4

{{exercise_number}}. 

There are 247 pupils in the school.
a)
How many litres of tea do you have to make if each pupil gets 2 decilitres?
b)
How many litres of soup do you have to cook if each person is served 3 decilitres?
To measure the volume of larger barrels or container we use the unit of hectolitre, one hundred times one litre.
It's symbol is hl.
1 hl = 100 l.     1 hl = 1000 dl.
Barrels are mostly used for storing beverages (e.g. wine, beer). Hectolitres are mainly used to measure their volume.

{{exercise_number}}. Do the conversions.

a)
142 l =
hl
l
239 l =
hl
l
837 l =
hl
l
b)
402 l =
hl
l
775 l =
hl
l
522 l =
hl
l
c)
5 hl 78 l =
l
4 hl 82 l =
l
9 hl 99 l =
l
1
42
2
39
8
37
4
2
7
75
5
22
578
482
999

{{exercise_number}}. Write the missing figures in the squares.

a)
hl < 345 l <
hl
hl < 698 l <
hl
b)
hl < 115 l <
hl
hl < 509 l <
hl
c)
hl < 889 l <
hl
hl < 274 l <
hl
3
4
6
7
1
2
5
6
8
9
2
3

{{exercise_number}}. Round the volumes to the nearest hectolitres.

345 l \latex{ \approx }
hl
569 l \latex{ \approx }
hl
654 l \latex{ \approx }
hl
302 l \latex{ \approx }
hl
403 l \latex{ \approx }
hl
83 l \latex{ \approx }
hl
1455 l \latex{ \approx }
hl
1010 l \latex{ \approx }
hl
3
6
7
3
4
1
15
10

{{exercise_number}}. Complete the tables, paying attention to the units of volume.

1 hl
76 l
l
342 dl
dl
654 dl
dl
23 l
dl
l
440 dl
l
550 dl
99 l
dl
dl
41 l
24
658
346
770
56
45
10
590
{{exercise_number}}. Colour in with the same colour those two containers the combined volume of which is 1 hectolitre.
35 l
82 l
46 l
540 dl
65 l
180 dl

{{exercise_number}}. 

Look at the drawings and answer the questions.
2 hl
50 l
25 l
4 hl
• How many buckets of water fills one barrel?
• How many cans of water fills the big container?
• How many barrels of water fills the big container?
• If we fill the bucket and the can with water from the barrel, how much water will be left in the barrel?
• If we pour 2 buckets and 2 cans of water into the barrel, how much more water would it take to fill the barrel to the brim?
litre
litre
8
8
2
125
50

{{exercise_number}}. 

  1. Grandma changes the water daily in the inflatable swimming pool she bought for her grandchildren. How much water does she use in one week if it takes 120 litres to fill the pool once?
  2. A tanker lorry can transport 10 hl of liquid. How much room is left in the tank if it carrying 437 litres now?
  3. Mum does the laundry three times a week. The washing machine uses 55 litres of water for each wash.  How much water does Mum use in one week for the laundry?
  4. Grandad is collecting rainwater for gardening. On the first day he used 7 cans, on the second day 12 cans of water from the full 2 hl barrel. (There was no rain in the meantime.) How much water is left in the barrel if the can holds 8 litres?

{{exercise_number}}. 

There are 8 dl liquid soap dispensers in the school's bathroom, which are refilled once a week.
a) How many dispensers can be refilled from a 5 litre can?
b) How many cans are needed to refill all 12 dispensers at once?
c) How much liquid soap is used in one month?

{{exercise_number}}. 

a)
The bar chart shows the amount of different fruit juices sold in a supermarket in 1 week.
Write the names of the juices on the appropriate lines.
• The largest amount sold         was of orange juice.
• 40 litres more apple juice         was sold than apricot juice.
• The smallest amount was         sold of tomato juice.
0
100
200
300
apricot juice
orange juice
apple juice
tomato juice
b) What was the total amount of fruit juice sold?
l
How much more orange juice was sold than tomato juice?
l
How much less tomato juice was sold than apricot juice?
l
980
180
100

{{exercise_number}}. On a bottle of fruit syrup you can read the following instruction: Add one part of syrup to 7 parts of water.

  1. How many litres of water do you have to add to one litre of syrup? How many litres of fruit juice will you have in total?
  2. 128 litres of fruit juice will be needed for a party in the school. How much syrup has to be bought?