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Mathematics 3.

Πίνακας περιεχομένων
MEASURING LENGHTS
{{exercise_number}}. Name the measuring instruments. Which one would you use to measure the things on the list? Write the letters of the measuring instruments in the boxes.
length of a pencil
height of a wardrobe
waistline
length of a fabric
result of a long jump competition
b)
c)
a)
d)
e)
b
a
c
d
e
Metres and centimetres are units of length.
1 m 
dm, one decimetre is one-tenth of a metre.
cm, one centimetre is one-hundredth of a metre.
1 m 
10
100
    =
    =
{{exercise_number}}. How long are the following animals? Write the missing units of measurement (cm, dm) on the lines.
26 
15 
  cm
  cm
   dm
   cm
  dm
{{exercise_number}}.
a) Use your pencil to measure the length of your desk. Make an estimate first.
Estimate:
Measurement:
\latex{\lt} length of the desk \latex{\lt}
\latex{\lt} length of the desk \latex{\lt}
00
00
00
00
b) Compare the results of the measurements. What causes the difference?
c) Measure the length of your desk in centimetres accurately. Make an estimate before measuring.
Estimate:
Measurement:
cm
cm
00
00
{{exercise_number}}. Do the conversions.
2 m =
59 m =
300 cm =
230 dm =
dm
dm
m
m
a)
1 dm =
43 dm =
50 cm =
280 cm =
b)
6 dm 7 cm =
24 cm =
4 m 3 dm =
31 dm =
c)
cm
dm
dm
m
cm
dm
cm
cm
dm
dm
20
590
3
23
10
430
5
28
67
2
4
43
3
1
{{exercise_number}}.Tom measured the length of his belt using a blue and a red pencil. The belt was 18 times the length of one pencil and 22 times that of the other. Write the correct numbers in the boxes, knowing the blue pencil is longer than the red one.
: 18
: 22
In maths class, third-grade students measured their hand spans. You can see the results of the measurements in the table.
a) Based on the table, write the numbers in the correct places in the bar chart.
{{exercise_number}}.
13 cm
14 cm
15 cm
16 cm
6
5
4
3
2
1
13 cm
14 cm
15 cm
16 cm
b) Answer the questions.
How many students were present in the class?
How many students have a hand span of 15 cm?
How many students have a hand span larger than 14 cm?
How many students have a hand span of at least 15 cm?
16
6
9
9
c) Measure your own hand span. Estimate:
cm. Measurement:
00
00
d) Make a similar table and chart using the measurements of your classmates.
{{exercise_number}}. Measure your body parts in decimetres and centimetres. Make an estimate before measuring.
in decimetres
in centimetres
estimate
measurement
estimate
measurement
length of your foot
length of your step
length of your arm
your waistline
dm
dm
dm
dm
dm
dm
dm
dm
cm
cm
cm
cm
cm
cm
cm
cm
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
00
{{exercise_number}}. Round the following quantities.
68 cm ≈
11 dm ≈
942 cm ≈
942 cm ≈
765 cm ≈
765 cm ≈
328 cm ≈
328 cm ≈
107 cm ≈
107 cm ≈
79 cm ≈
79 cm ≈
849 cm ≈
849 dm ≈
512 cm ≈
512 dm ≈
191 cm ≈
191 dm ≈
dm
m
dm
m
dm
m
m
m
m
m
m
m
dm
m
dm
m
dm
dm
7
1
9
8
8
1
1
3
2
5
8
94
77
11
33
19
51
85
a) Sophie needs a 186 cm long ribbon. How many metres of ribbon should she buy?
b) Mark needs a  208 cm long slat to make a picture frame.
Did he calculate correctly if he bought a 2 m long slat? Why?
{{exercise_number}}.
Kilometres can be used to measure large distances. One kilometre is a thousand times one metre. 1 km = 1,000 m.
You can cover a distance of 1 km in 15 minutes on foot.
What is located within 1 km of your school?
0 m
500 m
1,000 m
1 km
Answer the following questions based on the map.
a) How far are the settlements from each other?
b) Underline the larger distance.
Fishguard – Newport or Pembroke – Begelly
Which unit of length (km, d, dm, cm) should you use to measure the following things?
the height of a mountain: 
the height of a tree:
the width of your desk:
Haverfordwest – Whitland:
Fishguard – Haverfordwest:
Haverfordwest – Milford Haven:
{{exercise_number}}.
{{exercise_number}}.
km
km
km
27
25
12
The distance between two points on the map is indicated by this symbol (📍).
                              km
                            m
                            cm
{{exercise_number}}.
a) Ben's father travelled from Newport to Whitland. The journey was 12 km from Newport to Fishguard and 52 km from Fishguard to Whitland. Ask questions and calculate.
b) Pete and Annie started running towards each other from a distance of 1 km. One of them ran 300 metres, the other 30 metres less. How many metres separate them now? Make a drawing.
{{exercise_number}}. Which one is longer? Write the correct relation symbols in the boxes.
2 km
100 km
618 cm
1,000 dm
140 cm
275 m
1,000 m
1 km
1 km 40 cm
1,000 dm
6 m 18 cm
2 km 75 m
>
>
<
=
<
<
{{exercise_number}}. Arrange the following lengths in descending order by writing the correct numbers in the circles.
2 m 48 cm
24 dm 80 cm
2 dm 48 cm
24 m 8 cm
2 km 48 m
1
2
3
4
5
{{exercise_number}}. Do the following operations and round the results.
23
+156
5
417
+19
346
9
-4
562
489
km
km
km
km
km
km
m
m
m
km
km
km
km
m
m
m
km
\latex{\approx}
179
24
763
25
5
73
5
{{exercise_number}}. Write the missing numbers in the boxes.
a)
460 m +
257 m +
m + 522 m = 1 km
m + 522 m = 1 km
1 km - 417 m 
1 km - 649 m 
1 km -
1 km -
m = 151 m
m = 151 m
m
m
b)
m = 1 km
m = 1 km
540
743
478
632
583
351
849
146
              =
              =
{{exercise_number}}.
a) Write the missing distances in the table.
distance (km)
Birmingham
Manchester
London
Brighton
Birmingham
Manchester
London
Brighton
113
202
262
325
163
76
163
113
262
76
202
325
b) The distance between which two cities is the largest?  Manchester  and  Brighton
c) The distance between which two cities is the smallestLondon  and  Brighton
d) How many kilometres are the following journeys?
Brighton – London – Birmingham:
Manchester – Birmingham – Brighton:
London – Birmingham – Manchester:
Brighton – Birmingham – Manchester:
km +
km =
km
km +
km +
km +
km =
km =
km =
km
km
km
76
163
239
113
202
315
163
113
276
202
113
315
e) How much further is Brighton from Manchester than Brighton from Birmingham?
km \latex{ - }
km =
km
325
202
123
{{exercise_number}}. Which one is longer? Write the correct relation symbols in the boxes.
629 km \latex{ - } 112 km
360 km \latex{ - } 128 km
850 m \latex{ - } 150 m
535 km + 19 km
360 m \latex{ - } 128 m
780 m \latex{ - } 95 m
321 dm + 79 dm
5 dm + 300 cm
240 m + 650 m
49 km + 51 km
5 dm + 30 m
670 m \latex{ - } 150 m
<
>
>
>
>
<
{{exercise_number}}. William and Kate live in the same house, 600 metres from the school. They counted the steps they needed to walk home from school. William counted 800 steps, while Kate counted 1,000 steps.
Who has a longer step? William
Sam travelled by car with his father to visit his grandparents. Sam noted the value shown by the odometer whenthey left home                     and when they arrived                     .
{{exercise_number}}.
  1. How many kilometres did they travel to get to the grandparents' place?
  2. What did the odometer show when they arrived home, travelling the same route?