Measurement

        1. Convert the following units as mentioned below.

                     a. 1m = …………… cm

                               1m =  1 x 00 = 100 cm

                     b. 2.5 m = ………… cm

                               1 m = 100 cm

                               2.5 m = 2.5 x 100 = 250 cm

                     c. 250 cm = ……….. m

                               1 m = 100 cm

                               250 cm = 250 ÷ 100 = 2.5 m

                     d. 1.5 l = ………….. ml

                               1 L = 1000 ml

                               1.5 L = 1.5 x 1000 = 1500 ml

                     e. 750 ml = ……….. l

                                1 L = 1000 ml

                                750 ml = 750 ÷ 1000 = 0.75 L

                     f. 1500 g = ……….. kg

                                1 kg = 1000 g

                                1500 g = 1500 ÷ 1000 = 1.5 kg

                     g. 4.5 kg = ………... g

                                1 kg = 1000 g

                                4.5 kg = 4.5 x 1000 = 4500 g

                     h. 7 tonnes = ……… kg

                                 1 t = 1000 kg

                                 7 t = 7 x 1000 = 7000 kg

                     i. 2500 kg = ……….. t

                                  1 t = 1000 kg

                                  2500 kg = 2500 ÷ 1000 = 2.5 t

               

               2. Sonam wants to carpet his sitting room. It is 5 meters long and 4 meters wide. How many square                       meters of carpet will he need to buy?

                       we need to find the area of sitting room

                       A = L x W       

                            = 5 m x 4 m = 20 m^2                   

                             therefore, Sonam need to buy 20 square meters of carpet. 

  

              3. Tashi and his friends wants to paint the classroom wall which is 5 meters by 4 maters. If 10                               square meters need 1 liter of paint, how much paint will they need to buy to paint all the four                           walls?

                          Area of the wall.

                          A = L x W

                             = 5 m x 4 m = 20 m^2

                          

                          Area of all four walls = 20 x 4

                                                            = 80 m^2

                          therefore, 80 ÷ 10 = 8. so, Tashi and his friends need to buy 8 liters of paint. 

                4. The volume of the box is 216 cubic centimeters. Find the length of each side of the box. 

                          

                          given: v= 216 cm^3

                                     v = l x w x h

                                     216 = 6cm x 6cm x 6cm

                          one possible answer (length = 6cm, width = 6cm  and  height = 6cm)

                 5. A swimming pool is rectangular in shape. it is 12 meters long, 8 meters wide and 400                                       centimeters deep. What is the volume of the swimming pool in cubic meters? 

                           convert 400 cm to m 

                            1 m = 100 cm

                            400 cm = 400 ÷ 100 = 4 m  (400 cm = 4m)

                            V = l x w x h

                               = 12m x 8m x 4m

                               = 384 m^3

                            therefore, the volume of the swimming pool is 384 cubic meters. 

                   6. how much water is needed to fill a water tank that is 150 cm long, 100 cm wide and 300 cm                             deep? (find the answer in liters)                                                                                                                                                                                                                                                                                                                    Volume of the tank 

                              V= l x w x h

                                 = 150cm x 100cm x 300cm

                                 = 4,500,000 cm^3

                                            1 ml = 1 cm^3

                              4,500,000 ml = 4,500,000 cm^3

                              1L = 1000 ml

                              4,500,000 ml = 4,500,000 ÷ 1000 

                                                    = 4,500 L

                                     therefore, 4,500 L of water is needed to fill a water tank that is 4,500,000 cm^3

                  7. The volume of a rectangular prism is 120 m^3. If it is 5 meters long and 4 meters wide, what                             will be the height of the prism? 

                            

                             V = l x w x h                                           OR         120 ÷ 5 = 24 

                              120 = 5 x 4 x 6                                                      24 ÷ 4 = 6

                             so, height = 6 m                                                    so, height = 6 m

                    8. Dorji, a farmer from Phobjikha produced 2 tonnes of potatoes. If he gets Nu. 40 per kg, how                            many ngultrums will he get? 

                              convert tonne to kg

                              1 t = 1000 kg

                              2 t = 2 x 1000 = 2000 kg

                              so, 2000 x 40 = 80,000

                              therefore, he will get Nu. 80,000

              

                     9. The area of a rectangle is 24 cm^2. If Karma doubles both the length and width of a                                          rectangle, what will be the area of the new rectangle? 

                              A = l x w

                              24 = 6 x 4     (one possible answer: l = 6cm  and w = 4cm)

                                double both length and width

                              A = l x w

                                 = 12 x 8

                                 = 96 cm^2

 

Tonne (converting units)

 

Convert the following

1. 1000 kg = ……………g

1 kg = 1000 g

1000 kg = 1000 x 1000

               = 1,000,000 g

 

2. 1500 g = …………… kg

1 kg = 1000 g

1500 g = 1500 ÷ 1000

            = 1.5 kg

 

3. 5000 t = ………..g

1t = 1,000,000 g

5000 t = 5000 x 1,000,000

            = 5,000,000,000 g

 

4. 5500 kg = ……….t

1t = 1000 kg

5500 kg = 5500 ÷ 1000

               = 5.5 t

 

5. 6,000,000 g = ………..t

1 t = 1,000,000 g

6,000,000 g = 6,000,000 ÷ 1,000,000

                    = 6 t

6. 1.8 t = ………….. kg

1 t = 1000 kg

1.8 t = 1.8 x 1000

         = 1800 kg

 

7. 120 kg = ……….. g

1 kg = 1000 g

120 kg = 120 x 1000

             = 120,000 g

 

8. 0.5 t = ………… g

1 t = 1,000,000 g

0.5 t = 0.5 x 1,000,000

         = 500,000 g

 

9. 500 kg = ……….. t

1 t = 1000 kg

500 kg = 500 ÷ 1000

            = 0.5 t

 

10. 1.5 t = ……… g

1 t = 1,000,000 g

1.5 t = 1.5 x 1,000,000

        = 1,500,000 g

 

SI unit (square and cubic)

 

Sloved questions on SI unit

questions on SI unit (VI)

 1. Pema rode 3 kilometers on his bike. his sister Sonam rode 2500 meters on her bike. Who rode the farthest and by how much more (answer in km)?

Ans:  Pema rode 3 km

          Sonam rode 2500 m                 we know 1km = 1000 m

                                                                            2500m = 2500 ÷ 1000

                                                                                          = 2.5 km

           since 3km is greater than 2.5km, Pema rode farthest by 0.5km (3 - 2.5 = 0.5)

2. Dawa is measuring two-line segments. The first line segment is 30 cm long. The second line segment is 500 mm long. How long are the two-ling segments put together? (answer in cm)

Ans: first line segment = 30 cm

         second line segment = 500 mm                        

                                                            we know 1cm = 10 mm

                                                                            500 mm = 500 ÷ 10

                                                                                          = 50 cm

            when two line segments put together:    30 cm + 50 cm =  80 cm

3. Penjor wants to send a box of oranges to a friend by mail. The box of oranges cannot exceed a mass of 5 kg. If each oranges has a mass of 200 g, what is the maximum number of oranges she can send?

Ans:  each oranges has a mass of 200 g. 

           box of oranges cannot exceed 5 kg. 

                                          convert 200 g to kg

                                           we know 1 kg = 1000 g

                                                            200g = 200 ÷ 1000

                                                                      = 0.2 kg

             since each oranges is 0.2 kg, Penjor can send 25 oranges. (5 ÷ 0.2 = 25)

4. Tashi grew 10.5 centimeters in 1 year. He is now 1.6 m tall. How tall was Tashi 1 year ago? (answer in cm)

Ans: Tashi grew 10.5 cm each year

         Present height = 1.6 m  (convert 1.6 m to cm)

                                  we know 1 m = 100 cm

                                                  1.6 m = 1.6 x 100

                                                            = 160 cm 

              Tashi's height 1 year ago:  160 cm - 10.5 cm

                                                         = 149.5 cm tall

5. Wangmo has a glass that can hold 250 ml of water. If she wants to fill a jug which can hold 2 litres of water, how many glasses of water does she need to fill the jug to the brim?

Ans: capacity of jug is 2 litres 

         capacity of glass is 250 ml  (convert 250ml to l)

                                                    we know 1L = 1000 ml

                                                                    250ml = 250 ÷ 1000

                                                                               = 0.25 L 

            to fill the jug to the brim: 2 ÷ 0.5 = 8

           therefore, Wangmo needs 8 glasses of water to fill the jug to the brim. 

6. Penjor walks 500 m every day. How many kilometers does he walk in a week?

Ans: Penjor walks 500 m per day.

                                     convert 500 m to km

                                     we know 1 km = 1000 m 

                                                     500 m = 500 ÷ 1000 = 0.5 km (1 day)

           in a week he walks: 0.5 x 7    (7 days in a week)

                                            = 3.5 km 

            

Class VI T4

 

1.         A chopper (helicopter) takes 1hour 30 minutes from Paro to Bumthang. A car rides between two dzongkhag will take 8 hours 30 minutes. The distance between two dzongkhag is 127 km. 

 a. What rate describes the speed of the helicopter and the car?

 b.     Which is faster? How do you know?

2.Use the place value chart and write the following number in standard form.                            

 

i.          4.55 billions

ii.         6.15 ten millions iii.           763 ten thousands

3. Nima has written 640,047,006 in expanded form as given below.                                               640,047,006 = 600,000,000 + 4,000, 000 + 40,000 + 7,000 + 6

 

Has she written it correctly? Give a reason to support your answer.

4.What is the differences between prime numbers and composite numbers? List down at least 4 numbers each.