y5 topic 7 - length.pdf

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  • 8/9/2019 Y5 TOPIC 7 - LENGTH.pdf

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    TOPIC LENGTH

    7.2.1 Relationship Between Units of Length

    1 5 420 m = ....... ......... km 6  State 34 km in m.

    2  Convert 14 m to km. 7  Change 8 020 m to km and m.

    3  Convert8

    3  km to m. 8  Convert

    4

    12  km to m.

    4 P  km = 14 200 mWhat is the value of P ?

    9  75 cm = ______ m

    5  Convert 2 km 900 m to a fraction 10  15 m = ______ km

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     11  1 500 m converted to km is 17  0.72 km converted to metres is

    12  9 km 7 m in metres is 18 3 km 725 m = ______ m

    13  8 750 m = ______ km ______ m 19  19 m = ______ km

    14  12.24 km = ______ m 20  2.25km = _______________m

    15  4km 50m = ____________km21 

    5

    4km = _____________ m

    16  15m = _____________ km22 

    4

    3 km = _____________ m

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    7.3.1 Basic Operations Involving Lengthi. Add and Subtract units of length involving conversion of units in

    a) kilometersb) kilometers and meters

    1 61.2 km + 1 499 km + 24.5 km = _______m 7 10 km − 2.17 km = _________ m

    2 16.41 km + 7.8 km = _________ m 8  Subtract 8 460 m from 52 km.

    3  207.6 km + 594 km + 732.01 km = _____ m 9 1 475 km − 748 km = _________ m

    4 8.02 km − 141 m = _________m

    Fill in the missing number.

    10  0.76 km + 85 m = ………… km

    5  11.3 km −  739 m = __________ m 11  7.5 km +5

    2 km = __________ m

    6  What must be added to 6 789 m to get100 km?

    12  3.7 km + 724 m =Give your answer in m.

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     13  18.03km - 386m = ______

    Give your answer in km. 19 5

    22  km + 0.5 km = ______ m

    14 372.2 km + 479.2 km = ______ km 20  4.721 km + 31.752 km + 3.217 km

    = _____ km

    15  21.724 km + = 42 km

    What is the value in the box?

    21  780 m + 21.47 km + 920 m = ______ m

    16 5

    4 km + 300 m + 1.75 km = ______ km

    22  42.57 km – 2.739 km = ______ km

    17  37.272 km – 890 m – 1.745 km= 23  47.568 km – – 32.71 km = 0.872 km

    What is the value in the box?

    18  49.74 km – 17.052 km – 948 m = 24 Solve the following.

    km – 982 m – 7.2 km = 15.272 km

    What is the value in the box?

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     7.3.1 Basic Operations Involving Length

    ii. Multiply and Divide units of length in km involving conversion of units witha) A one digit numbers

    1  5 ×  0.916 km = ___________ m 7  865.89 km ÷ 9 = ___________ m

    2  9.128 km ÷ 8 = __________ m 8  7.26 km ÷ 3 =Express your answer in m.

    3  21.25 km × 4 = ____________ km 9  23.6 km ÷ 5 = ____________ m

    4  47.033 m × 7 = _________ km 10 60 501 m X 7 = ______ km _______m

    5  84.052 km ÷ 4 = _____________ m 11 41.14 X 2 = ________km _______ m

    6  31.055 km ÷ 5 = __________ m 12 9.128 km ÷ 8 = ____________ m

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    7.3.1 Basic Operations Involving LengthMultiply and Divide units of length in km involving conversion of unitsWith

    b) 10, 100, 1 000

    1

    m × 100 = 84 km

    The missing number in the box is

    7  320 km ÷ 10 = ______ m

    2  50 300m ÷ 100 = ……….. km 8  3.725 km × 1 000 = ______ km

    3  5.4 km ÷ 10 = _____________ m 9  Calculate 1.36 m X 100.Convert your answer to km.

    4  0.78 km x 10 = ____________ m 10  20 km ÷ 100 = ÷__________ m

    5 2

    1  km x 100 = _____________ m

    11  908 m ÷ 10 = ____________ km

    6  402 km ÷ 100 = ______________ m12 

    5

    3  km x 1000 = _____________ m

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    P

    Q

     R61.3 km

    54 km

    7.3.2 Basic Operations Involving Lengthiii. Solve problems Involving Basic Operation on Length.

    1  In the diagram, PQR  is a straight line. Thelength of PQ  is 965 m less than the lengthof PR .

    Find the length of PR , in m.

    4  There are 15 lamp posts along a road of2.94 km. If the lamp posts are of equaldistance from each other, find the distance,in m, between the first and the second lamp

    post.

    2  The diagram shows the location of threetowns, X , Y and Z . The distance from X  to Z  through Y  is 340 km. The distance fromY to Z  is four times the distance from X   to Y .

    What is the distance, in km, from X to Y ?

    5 The diagram shows the locations of threepoints, P , Q  and R .

    What is the difference in distancebetween PQ  and QR , in m?

    3  The length of river X is 34.917 km. River Y  is9 times as long as river X . Calculate the

    length of river Y , in km.

    6  Ahmad drove 135.48 km from town P  totown Q , and another 96.73 km to reach

    town R . Find the distance, in km, betweentown P  and town R .

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     7  Road A is 132.8 km long. Road B  is 840 m

    longer than road A. Find the length, in km,of road B .

    10 The height of a building is 240 m. Anaeroplane is 5.2 km above the building.Calculate the vertical distance, in km, ofthe aeroplane from the ground.

    8 The length of an iron bridge is 548 m. AWooden bridge is 0.06 km shorter than theiron bridge. Calculate the length of thewooden bridge, in m.

    11 A 40.4 km highway is divided equally into5 sections to be covered with tar. Find thelength, in km, of each section of the road.

    9  An athlete ran the distances of 20.3 km,37.5 km and 66.7 km on three days. Find thetotal distance, in km, covered by the athlete.

    12 The distance from P to Q is 7 times thedistance from Q to R. The distance from Qto R is 9.465km. What is the distance fromP to Q?

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     13 Mr Wong stays in Taiping. He works in a

    school in Batu Kurau. He has to passKamunting before reaching Batu Kurau. Thedistance from Taiping to Kemunting is7.8km while the distance from Kemunting toBatu Kurau is 20km 750m. How far isMr Wong`s house from his school?

    15  The perimeter of a basketball court is127.5m. Ranjit ran 9 rounds along itsperimeter. How many kilometers did herun? Give your answer correct to threedecimal places.

    14 Diagram 2 shows the road map of f ive

    places, A, B , C , D  and E .

    DIAGRAM 3 

    Find the total distance from A to D .

    16  Diagram 3 shows two distances.

    57.2 km

    32.75 km

    DIAGRAM 4

    Find the difference between the twodistances.

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     17 Cikgu Simran lives in Kuala Kangsar.

    From her house, she has to passthrough Padang Rengas and CangkatJering before she reaches her school.If the distance from Kuala Kangsar toPadang Rengas is 11 km and fromPadang Rengas to Cangkat Jering is13 km, calculate the total distance she

    travels to and fro each day.

    20  If4

    3 of the road from town P  to town

    Q  is flooded and only 37 km of theroad is not flooded, what is thelength of the road that stretches

    from town P  to town Q ?

    18  The distance from Mazlan’s house tohis school is 2.51 km, whereas thedistance from Adnan’s house to hisschool is 3.75 km. Find the differencein the distance from each of theirhouse to their school, in m.

    21  In conjunction with National Day,41  

    of a road in Taiping was closed forthe national day parade. If the closedsection is 18 km, what is the lengthof the road that is open to traffic?

    19  The main road to Zoo Negara, whichis 12.7 km long, is closed. Visitorshave to use an alternative road whichis 19.75 km long. Find the differencein length of these road.

    22  If the length of a rope is 175 m, what is thetotal length of 12 similar ropes, in m?

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     23  The distance from one lime tree to the

    next one is 10 m. If each row hastwelve trees, calculate the distancefrom the first tree to the twelfth tree.

    26  If the length of a roll of tissue is352 m, calculate the total length of25 similar rolls of tissue, in km.

    24  Nirmala’s height is 0.66 m whileNazman is 3 times Nirmala’s height.What is Nazman’s height, in m.

    27  Encik Deraman has 36 iron rods ofthe same length. If an iron rodmeasures 6.5 m, what is the totallength of all the rods.

    25 52 presents are tied with a ribbonmeasuring 29.12 m. What is thelength of ribbon, in cm, used to tieeach present?

    28  Pak cik Lam cuts a wire measuring540.04 m into 46 sections of equallength. How long is each section?

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     29  Cik Nurbaya makes 75 rose buds

    using a ribbon measuring 450 m long.What is the length of ribbon used tomake a single rose bud if all the rosebuds are made using ribbons of equallength?

    32 Diagram 3 shows the distance of AB  and CD .

    58.79 km

    A B  14.075 km

    C   D  DIAGRAM 4

    Find the difference between thedistance of AB  and CD . Give youranswer in m.

    30  A park has a length of 560 m and a width of460 m. If Hassan jogs four times around thepark, what is the total distance that hecovers, in km?

    33  Cik Fatin buys 4 250 m of ribbon.

    She uses5

    3 of the ribbon. Find the

    remaining length of the ribbon, in m.

    31  40 similar baju kurung Kedah  aresew using 140.80 m of cloth. Howmany metres of cloth is used to sewone baju kurung Kedah ?

    34  Ranjit uses a 100 m wooden ruler tomeasure his school field. He foundthat the perimeter of the field is 39times the length of the ruler. What isthe actual length of the perimeter of

    the field, in km?

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    LENGTH

    PAPER 1 - Answer all the questions. Each questions is followed by four answer choices. Only one ofthe answers is correct. Choose the correct answer?

    1  Convert 35 m to km.

    A. 0.0035

    B. 0.035C. 0.35D. 3.5

    2  2.4 km stated in m is…..

    A. 24B. 240C. 2 400D. 24 000

    3  Which the following conversions is true?

    A. 60 m = 0.6 kmB. 6 m = 0.006 kmC. 600 m = 6 kmD. 0.6 m = 0.06 km

    4  9.5 km +  2 km 50 m =

    A. 10.15 kmB. 11.55 kmC. 12 kmD. 12.05 km

    5  5

    4

     km+

      5

    11

     km =

    A. 21 000 mB. 2 100 mC. 2 010 mD. 2000 m

    6  561 m × 8 =

    A. 4.48 kmB. 4.488 kmC. 44.88 kmD. 448.8 km

    7  Convert 2 km 600 m to km.

    A. 0.26B. 2.6C. 26D. 260

    8  How many m are there in 36 km?

    A. 36B. 360

    C. 3 600D. 36 000

    9 8.2 km −  750 m =

    A. 8.55 kmB. 7.68 kmC. 7.55 kmD. 7.45 km

    10 53.2 km ÷ 4 =

    A. 1 330 m

    B. 13 030 mC. 13 300 mD. 13 003 m

    11  Which of the following is true?

    A. 0.02 km = 20 mB. 0.4 km = 40 mC. 1.6 km = 160 mD. 28 km = 2 800 m

    12 85.96 km +  560 m +  2.377 km =

    A. 88.897 kmB. 144.337 kmC. 165.73 kmD. 185.497 km

    13  Table 1 shows the height of two building.

    Building Height

    A 68.2 m

    B 3.5 m

    Table 1

    What is the difference in height between thetwo building?

    A. 111.7 mB. 67.2 mC. 65.3 mD. 64.7 m

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    14  Which of the following is the nearest to the20 km?

    A. 19.09 kmB. 19.9 kmC. 20.01 kmD. 10.1 km

    15  Diagram 1 shows a road connecting three

    town, P, Q and R.

    Diagram 1

    The distance of QR is twice the distance ofPQ. What is the distance of the whole

    road?

    A. 8 kmB. 10 kmC. 12 kmD. 15 km

    16  There are 15 trees along entrance of apark. The distance between each tree is 3.2 m.Calculate the distance in m, from the first treeto the last tree.

    A. 11.8B. 24C. 44.8D. 48

    17 Madam Lim travels a distance of 11.5 kmfrom her house to her workplace. What is thedistance she travels, to and fro .If she works5 days a week?

    A. 57.5 kmB. 115 kmC. 570.5 km

    D. 1 150 km

    18  Firdaus jogs 355 m track for 6 times. Whatis his total jogging distance?

    A. 2.03 kmB. 2.13 kmC. 2.3 kmD. 2.31 km

    19  The width of a shop along a street is 7.5 m.There are 30 shops along the street. What isthe length the street?

    A. 0.225 kmB. 2.25 kmC. 22.5 kmD. 225 km

    20 The Diagram 2 shows the location of treetowns, W, X and Y.

    Diagram 2

    Find the difference between the distance ofWX and XY.

    A. 0.164 kmB. 1.64 kmC. 16.4 kmD. 164 km

    21 Every day Anisah walks to school. Thedistance between her house and the school is3.8 km. One day she walks from her houseand stop at the shops that is 1.24 km fromher house. Then she continues walking toschool. What is the distance from the shop toher school?

    A. 2 560 mB. 2 640 mC. 4 040 mD. 5 040 m

    22 8 km −  1 825 m =

    A. 9 825 mB. 7 825 mC. 6 175 mD. 6 025 m

    23  XYZ is a straight road. The distance fromX to Y is 1.4 km. The distance from Y to Z is

    7

    2  of the distance between X and Y. Find

    the distance between X to Z, in m.

    A. 400B. 1 000C. 1 800D. 2 400

    P Q R

    5 kmW

    X

    y

    2 km 100 m 460 m

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    24  Which of the following is the longest?

    A.2

    11  km

    B. 1 km 5 mC. 1.5 kmD. 1 550 m

    25 1 652 m × 12 =

    A. 19.824 kmB. 198.24 kmC. 1982.4 kmD. 19 824 km

    26 Which of the following is true?

    A. 402 m × 10 = 40.2 kmB. 3.15 km × 100 = 315 kmC. 225 m × 100 = 22.5 km

    D. 5.27 km × 1 000 = 5 270 m

    27  7 km 650 m +  = 9 km 150 m.

    What must be written in theabove?

    A. 1.5 kmB. 2.5 kmC. 16.5 kmD. 16.8 km

    28  3.2 km +  650 m = ……………. km

    A. 3.85B. 3.95C. 7.9D. 9.7

    29 431 m × 100 = ……………….. km

    A. 0.431B. 4.31C. 43.1

    D. 431

    30  625 m × 9 = ………….. km

    A. 0.56B. 5.625C. 580D. 850

    31 Table 2 shows the types of houses andthe lengths of wire needed for wiring.

    Type ofHouses

    Length ofWire perHouse

    Number ofhouses

    SingleStory 25 m 50

    Double

    Story 40 m 30Semi-

    detached 53 m 10

    Table 2

    Calculate the total length of wire needed, in m,for all the houses.

    A. 530B. 1 730C. 2 450D. 2 980

    32 Table 3 shows the length of 4 rivers, J, K,L and M.

    River LengthJ 6 km

    K2

    1 the length of river J

    L Twice the length of river MM 4.8 km

    Table 3

    Calculate the total length, in km, of river Kand river L.

    A. 12.6B. 8.4C. 16.8D. 9.6

    33 Calculate the difference between 40 180m and 8 470 m. Give the answer in kilometers.

    A. 31.71B. 44.52C. 44.68D. 48.31

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    34 Which of the following is 7 times morethan 400 m?

    A. 2.8 kmB. 2 080 mC. 2 km 800 m

    D.10

    92  km

    35  A group of chefs decide to make a recordby making the longest cake. They need to make1.84 km long cake. If there are 100 chefsinvolved, how many metres of cake will eachchef make?

    A. 0.184B. 18.4C. 184D. 1 840

    36  Puan Zainah bought 25 m of cloth to make

    curtains. She cut the cloth into 10 equalpieces. Each piece is 2.25 m. How muchcloth in cm, is left?

    A. 2.5B. 25C. 250D. 2 500

    37  13.2 km +  8 225 m +  900 m =

    A. 9.125 kmB. 20. 526 km

    C. 22. 325 km

    D. 22. 662 km

    38  Divide 171.32 km by 8. Round off theanswer to two decimal places.

    A. 21.415 kmB. 21.42 kmC. 21.4 kmD. 22 km

    39  The length of a bridge is 820 m. A river is10 km 60 m longer than the bridge. How longin km, is the river?

    A. 10.06B. 10.88C. 11.42

    D. 18.26

    40  Bakhtiar estimates that the length of abridge is 20 times the height of a coconut tree.The coconut tree is 15.85 m high. The length inkm, of the bridge estimated by Bakhtiar is…

    A. 0.317B. 0.371C. 3.17D. 3.71

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    Paper 2 - Answer all the questions. Show your working and write the answer in the spaceprovided.

    1  Convert 21 400 m into km.

    ( 1 marks )

    6 3.28 km − 490 m =Give your answer in km.

    ( 2 marks ) 

    2  5 575 m + 35 m = ………….m

    ( 1 marks ) 

    7 8.98 m × 1000 = ………….. km

    ( 2 marks )

    3  12 km −  1.2 km = ………… km

    ( 1 marks )

    89

    5 of 136.8 km = ……………. m

    ( 2 marks )

    4  Divide 67.92 km by 4.

    ( 1 marks ) 

    9 3.76 km +  810 m = ……… km

    ( 2 marks )

    5  7.64 m × 8.

    ( 1 marks ) 

    10  8.46 km ÷ 2 = ………….. m

    ( 2 marks )

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    (3 How many metres are therein 4.015 km?

    (2 marks )

    (4 Encik Jamal walked 4.3 kmon Monday. He

    walked 1 080 m less on Tuesday than onMonday. How far did he walk on Tuesday?Give your answer in km.

    ( 2 marks )

    (5 Ah Wei cut a rope measuring987 m into 6

    equal pieces. Calculate the length of eachpiece.

    ( 2 marks )

    (6 Kamal drives 37.52 km in 4hours. How far

    does he drive in 7 hours in m?

    ( 3 marks )

    (7 Ismail walks 278 m to schoolevery day.

    How many km does he walks in 5 days?

    ( 2 marks )

    17  Nasuha walks 0.8 km while Najla walks315 m more than Nasuha. Calculate the totaldistance, in km that they have walked.

    ( 3 marks )

    (8 There are 31 signboard alongthe road. The

    road is 258 km long. If the distance betweeneach signboard is the same, what is thedistance between the eighth and the ninth

    signboard?

    ( 2 marks )

    18  The distance from shop X to the post office is

    1.8 km. Mary cycles3

    2 of the distance. How

    many metres has she cycled?

    (3 marks )

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     19 In a television reality program, Mr. Ricky

    runs for 3.5 km. Then he cycles for2

    16  km

    and swims for 400 m. What is the totaldistance, in km, Mr. Ricky has coverd in thereality programme?

    ( 3 marks )

    20  Diagram 1 shows the location of 3 villages,P, Q and R.

    Diagram 1

    The distance between P and Q is 850 m morethan the distance between Q and R. Calculatethe total distance, in km, from P to R.

    ( 3 marks )

    P Q R11.7 km