Topic 7 - Length

TOPIC LENGTH 7.2.1 Relationship Between Units of Length

1

5 420 m =

....... ......... km

2

Convert 14 m to km.

3

Convert

4

5

6

State 34 km in m.

7

Change 8 020 m to km and m.

8

Convert 2

P km = 14 200 m What is the value of P?

9

75 cm = ______ m

Convert 2 km 900 m to a fraction

10

3 km to m. 8

1 km to m. 4

15 m = ______ km

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 = ____________km

16

15m = _____________ km

21

4 km = 5

22

3 km = _____________ m 4

_____________ m

7.3.1

Basic Operations Involving Length i. Add and Subtract units of length involving conversion of units in a) kilometers b) 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

10

0.76 km + 85 m = ………… km

Fill in the missing number.

2 km = __________ m 5

5

11.3 km − 739 m = __________ m

11

7.5 km +

6

What must be added to 6 789 m to get 100 km?

12

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

13

18.03km - 386m = ______ Give your answer in km.

19

2

14

372.2 km + 479.2 km = ______ km

20

4.721 km + 31.752 km + 3.217 km

2 km + 0.5 km = ______ m 5

= _____ km

15

21.724 km +

= 42 km

21

780 m + 21.47 km + 920 m = ______ m

What is the value in the box?

16

4 km + 300 m + 1.75 km = ______ km 5

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?

7.3.1

Basic Operations Involving Length ii. Multiply and Divide units of length in km involving conversion of units with a) 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

7.3.1

Basic Operations Involving Length Multiply and Divide units of length in km involving conversion of units With b) 10, 100, 1 000

1

7

320 km ÷ 10 = ______ m

m × 100 = 84 km The missing number in the box is

2

50 300m ÷ 100 = ……….. km

8

3.725 km × 1 000 = ______ km

3

5.4 km ÷ 10

9

Calculate 1.36 m X 100. Convert your answer to km.

4

0.78 km

5

1 km x 100 = _____________ m 2

6

x 10

= _____________ m

=

____________ m

402 km ÷ 100 = ______________ m

10

20 km ÷ 100 = ÷__________ m

11

908 m ÷ 10

12

=

____________ km

3 km x 1000 = _____________ m 5

7.3.2

1

Basic Operations Involving Length iii. Solve problems Involving Basic Operation on Length.

In the diagram, PQR is a straight line. The length of PQ is 965 m less than the length of PR.

4

There are 15 lamp posts along a road of 2.94 km. If the lamp posts are of equal distance from each other, find the distance, in m, between the first and the second lamp post.

5

The diagram shows the locations of three points, P, Q and R.

Find the length of PR, in m.

2

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

Q 54 km R 61.3 km

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

P

3

The length of river X is 34.917 km. River Y is 9 times as long as river X. Calculate the length of river Y, in km.

What is the difference in distance between PQ and QR, in m?

6

Ahmad drove 135.48 km from town P to town Q, and another 96.73 km to reach town R. Find the distance, in km, between town P and town R.

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. An aeroplane is 5.2 km above the building. Calculate the vertical distance, in km, of the aeroplane from the ground.

8

The length of an iron bridge is 548 m. A Wooden bridge is 0.06 km shorter than the iron bridge. Calculate the length of the wooden bridge, in m.

11

A 40.4 km highway is divided equally into 5 sections to be covered with tar. Find the length, 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 the total distance, in km, covered by the athlete.

12

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

13

Mr Wong stays in Taiping. He works in a school in Batu Kurau. He has to pass Kamunting before reaching Batu Kurau. The distance from Taiping to Kemunting is 7.8km while the distance from Kemunting to Batu Kurau is 20km 750m. How far is Mr Wong`s house from his school?

15

The perimeter of a basketball court is 127.5m. Ranjit ran 9 rounds along its perimeter. How many kilometers did he run? Give your answer correct to three decimal places.

14

Diagram 2 shows the road map of five

16

Diagram 3 shows two distances. 57.2 km

places, A, B, C, D and E.

32.75 km DIAGRAM 3 DIAGRAM 4 Find the total distance from A to D.

Find the difference between the two distances.

17

18

19

Cikgu Simran lives in Kuala Kangsar. From her house, she has to pass through Padang Rengas and Cangkat Jering before she reaches her school. If the distance from Kuala Kangsar to Padang Rengas is 11 km and from Padang Rengas to Cangkat Jering is 13 km, calculate the total distance she travels to and fro each day.

The distance from Mazlan’s house to his school is 2.51 km, whereas the distance from Adnan’s house to his school is 3.75 km. Find the difference in the distance from each of their house to their school, in m.

The main road to Zoo Negara, which is 12.7 km long, is closed. Visitors have to use an alternative road which is 19.75 km long. Find the difference in length of these road.

20

If

3 of the road from town P to town 4

Q is flooded and only 37 km of the road is not flooded, what is the length of the road that stretches from town P to town Q?

21

In conjunction with National Day,

1 4

of a road in Taiping was closed for the national day parade. If the closed section is 18 km, what is the length of the road that is open to traffic?

22

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

23

The distance from one lime tree to the next one is 10 m. If each row has twelve trees, calculate the distance from the first tree to the twelfth tree.

26

If the length of a roll of tissue is 352 m, calculate the total length of 25 similar rolls of tissue, in km.

24

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

27

Encik Deraman has 36 iron rods of the same length. If an iron rod measures 6.5 m, what is the total length of all the rods.

25

52 presents are tied with a ribbon measuring 29.12 m. What is the length of ribbon, in cm, used to tie each present?

28

Pak cik Lam cuts a wire measuring 540.04 m into 46 sections of equal length. How long is each section?

29

Cik Nurbaya makes 75 rose buds using a ribbon measuring 450 m long. What is the length of ribbon used to make a single rose bud if all the rose buds are made using ribbons of equal length?

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 the distance of AB and CD. Give your answer in m.

30

31

A park has a length of 560 m and a width of 460 m. If Hassan jogs four times around the park, what is the total distance that he covers, in km?

40 similar baju kurung Kedah are sew using 140.80 m of cloth. How many metres of cloth is used to sew one baju kurung Kedah?

33

Cik Fatin buys 4 250 m of ribbon. She uses

3 of the ribbon. Find the 5

remaining length of the ribbon, in m.

34

Ranjit uses a 100 m wooden ruler to measure his school field. He found that the perimeter of the field is 39 times the length of the ruler. What is the actual length of the perimeter of the field, in km?

LENGTH PAPER 1 - Answer all the questions. Each questions is followed by four answer choices. Only one of the answers is correct. Choose the correct answer? 8 1

How many m are there in 36 km?

Convert 35 m to km. A. B. C. D.

A. B. C. D.

0.0035 0.035 0.35 3.5

36 360 3 600 36 000

9 8.2 km − 750 m = 2

2.4 km stated in m is….. A. B. C. D.

A. B. C. D.

24 240 2 400 24 000 10

3

A. B. C. D.

60 m = 0.6 km 6 m = 0.006 km 600 m = 6 km 0.6 m = 0.06 km 11

1 4 km + 1 km = 5 5 A. B. C. D.

21 000 m 2 100 m 2 010 m 2000 m

A. B. C. D. 13

0.02 km = 20 m 0.4 km = 40 m 1.6 km = 160 m 28 km = 2 800 m

85.96 km + 560 m + 2.377 km = 88.897 km 144.337 km 165.73 km 185.497 km

Table 1 shows the height of two building.

561 m × 8 = A. B. C. D.

7

Which of the following is true? A. B. C. D.

10.15 km 11.55 km 12 km 12.05 km 12

6

1 330 m 13 030 m 13 300 m 13 003 m

9.5 km + 2 km 50 m = A. B. C. D.

5

53.2 km ÷ 4 =

Which the following conversions is true? A. B. C. D.

4

8.55 km 7.68 km 7.55 km 7.45 km

4.48 km 4.488 km 44.88 km 448.8 km

Building

Height

A

68.2 m

B

3.5 m Table 1

Convert 2 km 600 m to km. A. B. C. D.

0.26 2.6 26 260

What is the difference in height between the two building? A. B. C. D.

111.7 m 67.2 m 65.3 m 64.7 m

14

Which of the following is the nearest to the 20 km? A. B. C. D.

15

19

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

19.09 km 19.9 km 20.01 km 10.1 km

A. B. C. D.

Diagram 1 shows a road connecting three town, P, Q and R.

20

0.225 km 2.25 km 22.5 km 225 km

The Diagram 2 shows the location of tree towns, W, X and Y.

5 km

y

W

P

Q

2 km 100 m

R

Diagram 1

Find the difference between the distance of WX and XY. A. B. C. D.

8 km 10 km 12 km 15 km 21

16

There are 15 trees along entrance of a park. The distance between each tree is 3.2 m. Calculate the distance in m, from the first tree to the last tree. A. B. C. D.

17

A. B. C. D. 18

11.8 24 44.8 48

Madam Lim travels a distance of 11.5 km from her house to her workplace. What is the distance she travels, to and fro .If she works 5 days a week?

A. B. C. D.

A. B. C. D. 22

2.03 km 2.13 km 2.3 km 2.31 km

2 560 m 2 640 m 4 040 m 5 040 m

8 km − 1 825 m = A. B. C. D.

23

0.164 km 1.64 km 16.4 km 164 km

Every day Anisah walks to school. The distance between her house and the school is 3.8 km. One day she walks from her house and stop at the shops that is 1.24 km from her house. Then she continues walking to school. What is the distance from the shop to her school?

57.5 km 115 km 570.5 km 1 150 km

Firdaus jogs 355 m track for 6 times. What is his total jogging distance?

460 m

Diagram 2

The distance of QR is twice the distance of PQ. What is the distance of the whole road? A. B. C. D.

X

9 825 m 7 825 m 6 175 m 6 025 m

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

2 7

of the distance between X and Y.

Find the distance between X to Z, in m. A. B. C. D.

400 1 000 1 800 2 400

24

Which of the following is the longest? A.

1

31

1 km 2

Type of Houses

B. 1 km 5 m C. 1.5 km D. 1 550 m

25

26

27

19.824 km 198.24 km 1982.4 km 19 824 km

= 9 km 150 m.

A. B. C. D. 32

What must be written in the above? A. B. C. D. 28

29

30

1.5 km 2.5 km 16.5 km 16.8 km

0.431 4.31 43.1 431

0.56 5.625 580 850

30

53 m

10

Length 6 km

K

1 the length of river J 2

L M

Twice the length of river M 4.8 km Table 3

3.85 3.95 7.9 9.7

625 m × 9 = ………….. km A. B. C. D.

40 m

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

River J

Calculate the total length, in km, of river K and river L. A. B. C. D.

431 m × 100 = ……………….. km A. B. C. D.

50

530 1 730 2 450 2 980

3.2 km + 650 m = ……………. km A. B. C. D.

25 m

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

402 m × 10 = 40.2 km 3.15 km × 100 = 315 km 225 m × 100 = 22.5 km 5.27 km × 1 000 = 5 270 m

7 km 650 m +

Number of houses

Table 2

Which of the following is true? A. B. C. D.

Length of Wire per House

Single Story Double Story Semidetached

1 652 m × 12 = A. B. C. D.

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

33

12.6 8.4 16.8 9.6

Calculate the difference between 40 180 m and 8 470 m. Give the answer in kilometers. A. B. C. D.

31.71 44.52 44.68 48.31

34

Which of the following is 7 times more than 400 m?

B. 20. 526 km C. 22. 325 km D. 22.662 km

A. 2.8 km B. 2 080 m C. 2 km 800 m D. 2 35

A group of chefs decide to make a record by making the longest cake. They need to make 1.84 km long cake. If there are 100 chefs involved, how many metres of cake will each chef make? A. B. C. D.

36

38

2.5 25 250 2 500

13.2 km + 8 225 m + 900 m = A. 9.125 km

Divide 171.32 km by 8. Round off the answer to two decimal places. A. B. C. D.

39

0.184 18.4 184 1 840

Puan Zainah bought 25 m of cloth to make curtains. She cut the cloth into 10 equal pieces. Each piece is 2.25 m. How much cloth in cm, is left? A. B. C. D.

37

9 km 10

The length of a bridge is 820 m. A river is 10 km 60 m longer than the bridge. How long in km, is the river? A. B. C. D.

40

21.415 km 21.42 km 21.4 km 22 km

10.06 10.88 11.42 18.26

Bakhtiar estimates that the length of a bridge is 20 times the height of a coconut tree. The coconut tree is 15.85 m high. The length in km, of the bridge estimated by Bakhtiar is… A. B. C. D.

0.317 0.371 3.17 3.71

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

1

Convert 21 400 m into km.

6

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

( 1 marks )

( 2 marks )

2

7

5 575 m + 35 m = ………….m

( 1 marks )

3

12 km − 1.2 km = ………… km

8.98 m × 1000 = ………….. km

( 2 marks )

8

5 of 136.8 km = ……………. m 9

( 1 marks )

( 2 marks )

4

9

Divide 67.92 km by 4.

3.76 km + 810 m = ……… km

( 1 marks )

( 2 marks )

5

10

7.64 m × 8.

( 1 marks )

8.46 km ÷ 2 = ………….. m

( 2 marks )

11

How many metres are there in 4.015 km?

15

Encik Jamal walked 4.3 km on Monday. He walked 1 080 m less on Tuesday than on Monday. How far did he walk on Tuesday? Give your answer in km.

(2 marks )

( 2 marks )

12

16

Ah Wei cut a rope measuring 987 m into 6 equal pieces. Calculate the length of each piece.

Kamal drives 37.52 km in 4 hours. How far does he drive in 7 hours in m?

( 3 marks ) ( 2 marks )

13

Ismail walks 278 m to school every day. How many km does he walks in 5 days?

17

Nasuha walks 0.8 km while Najla walks 315 m more than Nasuha. Calculate the total distance, in km that they have walked.

( 3 marks ) ( 2 marks )

14

There are 31 signboard along the road. The road is 258 km long. If the distance between each signboard is the same, what is the distance between the eighth and the ninth signboard?

( 2 marks )

18

The distance from shop X to the post office is 1.8 km. Mary cycles

2 of the distance. How 3

many metres has she cycled?

(3 marks )

19

In a television reality program, Mr. Ricky

1 runs for 3.5 km. Then he cycles for 6 km 2

20

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

and swims for 400 m. What is the total distance, in km, Mr. Ricky has coverd in the reality programme? P

Q 11.7 km

R

Diagram 1 The distance between P and Q is 850 m more than the distance between Q and R. Calculate the total distance, in km, from P to R.

( 3 marks )

( 3 marks )