ICSE CLASS 3 MATHS SEMESTER2 CHAPTER 1 MEASURING LENGTH


1. MEASURING LENGTH

Centimetre

We measure short lengths in centimetres.
Example: Length of Pencil.
In short centimetre is written as 'cm'.

Metre

Long lengths are measured in metres.It is the standard unit of length.
Example: Length of a wall.
In short metre is written as 'm'.     
                                      1m=100cm
Kilometre
We measure long distances in Kilometres.
Example:Distance between two towns.
In short, kilometres is written as 'km'.
                                      1km=1000 m

Exercise 1(A)

1.Fill in the blanks.
(a) _______________ cm=9 m
(b) 16 km=_____________  m
(c) 3000 m=____________  km
(d) 200 cm=____________  m
(e) 2 km 100 m=_________ m
(f)  6112 m= ____________ km _______________ m
(g) 20 km 100 m= _______ m
(h) 8139 m=____________ km ________________ m
  [Answers:(a)900 (b)16000 (c)3 (d)2 (e)2100 (f) 6 km 112 m (g)20100 (h)8 km 139 m]


















2.Find the Sum
  (a)
  (b)
  (c) 22km 308 m,219 m and 8 km 80 m
  (d) 55 m 80 cm, 40 m 40 cm and 25 m 
  (e) 35 km 24 m + 72 km 112 m + 10 km 95 m
3.Add the following
  (a) 61 km 755 m + 7 km 613 m+ 54 m
  (b) 13 km 351 m + 29 km 617 m + 1 km 20 m +87 m
  (c) 87 m 10 cm + 15 m 21 cm + 74 cm
  (d) 12 m 57 cm + 25 m 40 cm  + 31 m
  (e) 35 km 24 m + 72 km 112 m + 10 km 95 m 

  [Answers 2. (a)                     (b)                   (c)30 km 607 m (d)96 m 45 cm (e)117 m 231 cm  

                  3. (a)69 km 422 m(b)44 km 75 m(c)103 m 5 cm (d)38 km 28 m (e)117 km 231 m ]

Exercise 1(C)
















2.Find the difference between
  (a)75 km 215 m and 26 km 378 m
  (b)42 m 70 cm and 94 cm
  (c)84 km 750 m and 61 km 29 m
  (d)178 m 60 cm and 60 cm
3.Subtract the following
  (a)74 km 10 m from 97 km 80 m
  (b)48 m 52 cm from 71 m 49 cm
  (c)100 km from 200 km 500 m
  (d)562 km 21 m from 785 km 72 m
  (e)38 m 81 cm from 62 m 28 cm

 [Answers 2(a)48 km 837 m  (b)41 m 76 cm (c)23 km 721 m  (d)178 m

                 3(a)23 km 70 m    (b)22 m 97 cm (c) 100 km 500 m
                   (d)223 km 51 m  (e)23 m 47 cm                                             ]

Exercise 1(D)

1. Sundar painted 25 m 80 cm of the fence before lunch break and 8 m 28 cm after lunch. How much fence did he paint altogether?
A. Before lunch break                   = 25 m 80 cm
     After lunch break                      =8 m 28 cm 
    Altogether he painted                =25 m 80 cm + 8 m 28 cm
                                                       =34 m   08 cm

2.A roll of rope contains 86 m 35 cm length. If 37 m 72 cm of the rope is used then what length of the rope is left behind?

A. Total length of the rope                 = 86 m 35 cm
     Length of the rope used                = 86 m 35 cm 
    Length of the rope left behind       = 86 m 35 cm - 86 m 35 cm
                                                                  = 48 m 63 cm

3. Reena walked 2 km 500 m on Monday, 3 km on Tuesday and 5 km 100 m on Wednesday.What was the total distance walked by her in three days?

A. Distance she walked on Monday     = 2 km 500 m
     Distance she walked on Tuesday     = 3 km
     Distance she walked on Wednesday= 5 km 100 m
     Distance she walked in three days   =  2 km 500 m + 3 km + 5 km 100 m
                                                                      =  10 km 600 m

4. The distance between two towns is 682 km 800 m.A bus has covered 391 km 282 m     distance.How much distance is left to be covered?

A. Distance between two towns            = 682 km 800 m
     Distance that the bus covered           = 391 km 282 m
     Distance left to be covered                 =  682 km 800 m - 391 km 282 m
                                                                     =  291 km 518 m

5. Sahil runs along the sides of a field which measures 35 m 52 cm,28 m 65 cm,34 m 70 cm        and 26 m 57 cm respectively.What is the total distance Sahil has to run to complete one    round of the field?

A. Length of the sides of the field        =  35 m 52 cm , 28 m 65 cm,34 m 70 cm and 26 m 57 cm
    The Distance he has to run to complete one round
                                                             =  35 m 52 cm + 28 m 65 cm + 34 m 70 cm + 26 m 57 cm
                                                             = 99 m 13 cm

6. Mohan jogs 7 km 600 m in the morning and 5 km 212 m in the evening.How much more        does he jogs in the morning?

A. In the morning he jogs                   =  7 km 600m
     In the evening he jogs                    =   5 km 212m
     In the morning he jogs  2 km 388 m (7 km 600m - 5 km 212m )more than evening.

7. Mr Karthik travelled 676 km by train, 47 km 502 m by scooter and 890 m by cycle.What        was the total distance covered by him?

A. Distance he travelled by train         =  676 km
     Distance he travelled by scooter     =  47 km 502 m
     Distance he travelled by cycle         =  890 m 
    Total distance covered by him         =  676 km + 47 km 502 m +  890 m
                                                                    = 724 km 392 m

8. If a wire is 58 m 20 cm long and 36 m of it is used for fencing , how much wire is left over?

A. Length of the wire                               =  58 m 20 cm
     Length of the wire used for fencing = 36 m
     Length of the wire left over               =  58 m 20 cm - 36 m 
                                                                      =22 m 20 cm

9.A plant was 55 cm when planted,It has grown 1 m 11 cm .How tall is the plant now?

A. Length of the plant                           = 55 cm
     Length plant grown                          = 1 m 11 cm
     Length of the plant now                  = 1 m 66 cm

10. A tree is 12 m 25 cm tall. The upper part of the tree is broken by the strong wind and the        remaining part is 3 m 87 cm tall. What is the length of the broken part of the tree?

A. Length of the tree                                            = 12 m 25 cm
     Length of the remaining part after broken= 3 m 87 cm
     Length of the broken part                             = 12 m 25 cm - 3 m 87 cm 
                                                                           = 8 m 38 cm