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.                                                                                                                                                 

Class VI T3

 

1. Study the table and write the ratio.                                                                                         

	Boys	Girls
Class 6	26	34
Class 5	30	22

                a)     Class 6 boys to class 5 boys.

                b)     Class 6 girls to class 5 boys

                c)     Class 6 students to class 5 students.

                d)     boys to girls

e)                                                                                                                                                                e)   girls to total students.

2. Subtract fraction.                                                                                                                   

        6/12 - 1/6

3. The table below shows the profit made by three industries in the year 2022.                       

Industries	Profit (in million)
Bhutan Agro Industries	Nu. 5425.78
Army welfare Project	Nu. 4532.32
Paro 8	Nu. 245.45
Total profit

Write the total profit made by three industries in expanded form.

4. Covert mixed number to improper fraction.                                                                         

  i.     2  3/2                         

Class VI T2

CLASS VI T2

1. There are 12 boys and 18 girls in a class. In how many ways can you divide the students in groups so that there are equal number of boys and girls in all the groups?              

2. Tashi, Wangmo and Chencho went to pick apples using the same size basket on Sunday. Their collection of apples was shown as given below.

Tashi	Wangmo	Chencho
2/7 of basket full	4/8 of basket full	6/9 of basket full

 Who do you think collected more apples? Show your work.                                                     

3. The table below shows the profit made by three industries in the tear 2022.

Industries	Profit (in million)
Bhutan Agro Industries	Nu. 5425.78
Army welfare Project	Nu. 4532.32
Paro 8	Nu. 245.45
Total profit

Write the total profit made by three industries in expanded form.

4. Out of 25 students in a class, 16 of them are men. What percent of the class are      women?

Class VI T1

1. List the common factors of 16 and 24.

2.   2. The distance from earth to sun is about 147.18 million km.  The distance from earth to Pluto is about 5.3142 billion km. Which is further from earth, The sun or Pluto? By how much?

       3. Sonam’s monthly salary is 15,500. He saves 10,500 every month from his salary. What is his saving in a year? Write his saving in expanded form in two different ways?

4.    4. Write each set of decimals in decreasing order.

a)      8.9, 21.6, 14.3, 17.8, 21.1

b)      46.37, 46.8, 46.2, 46.9, 46.34

5.      5. Write the following improper fractions as mixed fractions?

a)       15/7                       b) 25/6 

6.      6. Rename the mixed fraction as improper fraction?

a)      7  4/9

7.      7. Convert the fractions to decimals by creating equivalent fractions with denominators such as 10,100,1000,….

a)     3/5                                          b) 12/25

 

8.      8. Order the fractions from least to greatest.

a)  2/4, 5/6, 1/8

9.     9.  Naley walked 2/3 miles on the first day and 1/12 miles on the next day. How many miles did he walk in all?

10   10. Subtract fractions:

a)   7/24 - 1/12    

 11. There are two cats and five dogs. What is the ratio of dogs to cats?