Το καλάθι σου είναι άδειο.
MEASURING MASS II
{{exercise_number}}. Name the different instruments you can use to measure the mass of objects. Write the correct unit of measurement (dkg, kg) under the images.
32
Alan:
45
flour:
50
wheat:
75
cheese:
Kilogram (kg) and dekagram (dkg) are units of mass.
1 kg = 100 dkg.
The gram, a smaller unit of measurement than the dekagram, is used to describe the mass of smaller or lighter objects. Its symbol is g.1 kg = 1,000 g one kilogram is equal to one thousand grams
1 dkg = 10 g one dekagram is equal to ten grams
{{exercise_number}}. Underline the corresponding mass.
• one crate of apples: 350 g / 47 dkg / 25 kg
• one egg:6 dkg / 6 g / 36 g
• one bread roll:18 g / 27 dkg / 3 dkg
• one egg:
• one bread roll:
{{exercise_number}}. Fill in the boxes with the masses of the presents.
20 g
2 g
5 g
5 g
10 g
2 g
2 g
1 g
g
g
g
{{exercise_number}}. Estimate the masses of the following stationery, then measure them. Work in groups.
g
estimation
measurement
pen
pencil
eraser
ruler
pencil case
g
g
g
g
g
g
g
g
g
{{exercise_number}}. Write the masses under the corresponding images.
a) 20 g, 33 g, 170 g b) 175 g, 250 g, 45 g
{{exercise_number}}. Drag the masses to the corresponding balls.
280 g
58 g
7 g
38 g
600 g
80 g
{{exercise_number}}. Convert the following units.
a)
b)
c)
26 dkg =
45 dkg =
84 dkg =
45 dkg =
84 dkg =
73 dkg 5 g =
39 dkg 1 g =
90 dkg 7 g =
39 dkg 1 g =
90 dkg 7 g =
368 g =
875 g =
673 g =
875 g =
673 g =
g
g
g
g
g
g
g
g
g
g
g
g
g
g
g
dkg
dkg
dkg
dkg
dkg
{{exercise_number}}. Determine the masses of the animals if you know that the mass of one rabbit is 1 kg.
rabbit:
cat:
dog:
piglet:
calf:
kg
kg
kg
kg
kg
- The mass of how many dogs is equal to that of one calf?
- The mass of how many cats is equal to that of one calf?
- How many cats should be placed next to six dogs so that their total mass equals the mass of one calf?
- Five cats are put into one pan of a scale, and one pig is put into the other pan. To which side does the scale tilt?
{{exercise_number}}. Fill in the fields with the correct relation symbols.
700 g
7 a half kg
6 kg 750 g
7 a half kg
6 kg 750 g
65 dkg
4 kg 8 g
234 g
4 kg 8 g
234 g
650 g
480 dkg
2 kg
480 dkg
2 kg
43 kg 2 g
561 g
57 kg 3 dkg
561 g
57 kg 3 dkg
432 dkg
56 dkg 1 g
5 kg 73 dkg
56 dkg 1 g
5 kg 73 dkg
7 kg
782 g
675 dkg
782 g
675 dkg
{{exercise_number}}. Fill in the boxes so that the sum of the masses underneath each other equals 1 kg. Pay attention to the units.
1 kg
g
37 dkg
450 g
18 dkg
541 g
350 g
89 dkg
500 g
dkg
g
dkg
g
dkg
dkg
{{exercise_number}}. Arrange the following masses in ascending order by numbering them.
27 kg 5 g
27 dkg 5 g
2 dkg 75 g
2 kg 75 g
27 kg 5 dkg
{{exercise_number}}. Gary would like to post a package that is not heavier than 2 kg. He has already put a book of 260 g and a toy of 55 dkg into a box of 15 dkg. How many grams of chocolate can he still put into the package?
{{exercise_number}}. Kate noticed that the side of a can was labelled with its net mass, which was 420 g. However, when she put it on the scale, it showed that the mass of the can was 450 g. What is the reason for the difference?
In trade, net mass refers to the mass of a product without its container or package.
The packaging of Kate's can is 30 grams.
Gross mass refers to the total weight of a product, including its packaging.
Fill in the table.
Fill in the table.
mass of packaging
25 g
net mass
gross mass
450 g
170 g
380 g
720 g
820 g
345 g
595 g
240 g
350 g
420 g
10 g
50 g
35 g
{{exercise_number}}. Fill in the boxes with the correct values.
kg
kg
kg
kg
kg
kg \latex{\lt } 413 dkg \latex{\lt }
kg \latex{\lt } 769 dkg \latex{\lt }
kg \latex{\lt } 907 dkg \latex{\lt }
kg \latex{\lt } 769 dkg \latex{\lt }
kg \latex{\lt } 907 dkg \latex{\lt }
dkg \latex{\lt } 48 g \latex{\lt }
dkg \latex{\lt } 27 g \latex{\lt }
dkg \latex{\lt } 99 g \latex{\lt }
dkg \latex{\lt } 27 g \latex{\lt }
dkg \latex{\lt } 99 g \latex{\lt }
dkg
dkg
dkg
dkg
dkg
{{exercise_number}}. Round off the following masses to the nearest kilogram.
355 dkg \latex{\approx } kg 947 dkg \latex{\approx } kg 149 g \latex{\approx } dkg 809 g \latex{\approx } dkg
837 dkg \latex{\approx } kg 718 dkg \latex{\approx } kg 54 g \latex{\approx } dkg 532 g \latex{\approx } dkg
{{exercise_number}}. Look at the images below and try to determine which child is the lightest and which is the heaviest.
Rob
Matt
Matt
Ann
Ann
Rob
The lightest child: Matt The heaviest child: Ann
{{exercise_number}}. If you place one pineapple in the pan that contains the plums, the scale will be balanced.
- The mass of how many plums is equal to that of one pineapple?
- What is the mass of one pineapple if one plum is 78 g?
The mass of one pineapple is 312 g.
=
\latex{\div}
·
=
The tonne, which is equal to one thousand kg, is used to describe the mass of heavier objects. Its symbol is t.
Its symbol is t. 1 t = 1,000 kg.
The mass of a small car is about 1 tonne.
{{exercise_number}}. Cross out the vehicles that are not allowed to drive across the bridge.
{{exercise_number}}. The masses of which packages add up to 1 tonne? Colour them with the same colour.
653 kg
346 kg
537 kg
654 kg
463 kg
347 kg
Solution
{{exercise_number}}. A total of 1 tonne of tomatoes and green peppers was loaded onto a lorry. If one crate had had a capacity of 50 kg, what could the masses of the green peppers and the tomatoes have been in kilograms?
450 kg
{{exercise_number}}.
- On Monday, 984 kg of waste was disposed of at a public recycling site. Of this amount, 417 kilograms were processed, and the rest, which was hazardous waste, was sent to the waste incinerator. If the container has a capacity of 1 tonne, how much more hazardous waste can be loaded into it?
- The third graders collected 514 kg of black-and-white newsprint, 237 kg of coloured newsprint, and 158 kg of corrugated cardboard. To reach a total of 1 tonne, how many more kilograms of paper should they have collected? (One tonne of waste paper saves 10 trees from being cut down.)
- A lorry was carrying 1 tonne of cement. At the first construction site, 250 kg was delivered, and at the second site, 150 kg more than that was delivered. How many kilograms of cement remained on the lorry?
{{exercise_number}}. Do the following operations.
kg
kg
kg
kg
dkg
dkg
dkg
kg
kg
kg
g
g
g
t
t
t
kg
kg
kg
t
t
t
kg
kg
307
14
39
17
75
67
28
597
234
1
5
286
427
67
16
+
98
+
+
+
{{exercise_number}}. Figure out the rules of the sequences, then continue each one with three more members.
635 kg, 875 kg, 1 t 115 kg, 1 t 355 kg, 1 t 595 kg, 1 t 835 kg
8 t 420 kg, 7 t 920 kg, 7 t 420 kg, 6 t 920 kg, 6 t 420 kg, 5 t 920 kg
{{exercise_number}}. Arrange the following masses in descending order by numbering them.
10 t 27 kg
127 kg
1 t 270 kg
1 t 27 kg
12 t 70 kg
{{exercise_number}}. Matt, Annie and Sarah stood on a scale in pairs. What are their masses separately?
Sarah:
Matt:
Annie:
75 kg
kg
kg
kg
Matt
Annie
Sarah
How much would the scale
show if all three of them stood
on it together?
84 kg
67 kg
+
=
-
+
=
=
=
=
=
=
=
=
=
=
+
+
+
+
+
-
-
{{exercise_number}}.
- The largest turtle in the world is the leatherback sea turtle. Its mass can reach 600 kg, which is 375 kg more than that of a giant tortoise. What is the mass of a giant tortoise?
- The strongest living organisms are insects. Bessbugs, which have a mass of 2 grams, are capable of pulling 90 times their own body mass. Determine the mass that a bessbug is capable of pulling.
- The smallest bird in the world is the bee hummingbird; its mass is only three grams. The sum of the mass of how many bee hummingbirds is approximately 1 kg?
- The amount of food a giant panda requires to eat in a day is equal to one-eighth of its body mass. In approximately how many days would a 120 kg giant panda consume 1 tonne of bamboo shoots? How many days would it take for two pandas to eat that amount of bamboo shoots?
