Grade-6 Topic: Ratio Worksheet-5

 

1. Fill in the blanks.

a. The first term in a ratio is called ________

b. 14:6::7:___

c. The simplest form of ratio of 15:20 is ___

d. If the cost of 1 kg rice is ₹50 then the cost of 8 kg rice is ____

e. The first term and fourth term are called _____

2. Match the following.

a. 100:80              i. 3:1

b. 81:27                ii. 1:2

c. 16:32                iii. 6:7

d. 1200:1400        iv. 5:6

e. 50:60                v. 5:4

3. Choose the correct option.

1. The ratio of 500 m to 5 km is:

a. 2:3                    c. 4:6

b. 1:10                  d. 1:100

2. The sum of 100 divided in the ratio 2:3 is:

a. 40 and 60         c. 30 and 70

b. 760 and 40      d.  20 and 80

3. Which of the following is in proportion?

a. 2, 3, 5, 6           c. 4, 6, 18, 28

b. 3, 5, 12, 20       d. 4, 9, 6, 8

4. The length and breadth of a rectangle are in the ratio 2:1. If the length is 10 cm, then the breadth is:

a. 7 cm                 c. 10 cm

b. 5 cm                 d. 2 cm

5. 2:10::5:x. The value of x is:

a. 30

b. 25

c. 35

d. 15

 

4. State whether the following statements are true (T) or false (F).

a. The ratio of 6 pens to 20 pens is 3:10.

b. A ratio will always be more than 1.

c. The ratio 2:3 is same as 3:2.

d. Equivalent ratios have the same values.

 

 

5. Solve these:

1. There are 13 books and 26 pencils. What is the ratio of books to pencils?

2. There are 6 action movies and 4 dramas being shown in a theatre. What is the ratio of dramas to action movies?

3. Are the ratios 1:2 and 12:36 equivalent? 5. What is the ratio of 30 km to 6000 m?

4. Are the numbers 1, 2, 3, and 6 in proportion? 7. What is the simplest form of the ratio 150:50? 8. What is the value of x in 4:5::8:x?

5. The actual distance between Bhubneshwar and Cuttack is 28 km; find the distance on the map if the scale is 1:10000000

 

 

Grade-6 Topic: Ratio Worksheet-4

 

1. Find whether the following numbers in order are in proportion.

a. 9, 6, 21, 14

b. 2, 3, 8, 11

c. 20, 40,60,12

d. 8, 18, 4, 9 no

2. Find the missing numbers in the following proportions.

a. 16:20::__:45

b. __:42::24:84

c. 40:__::24:15

d. 21:27::56:____

3. Solve the following usning unitary method.

The method of finding the value for one unit and further using it to find the value of multiple units is known as unitary method.

Note: In "unitary method" the word "unit" stands for "one".

a)    Anita bought a dozen eggs for 72. How much does he have to pay if he buys 19 eggs?

 

b)   987 bricks are needed to build a 3 m high wall. How many bricks will be needed to build a 7 m high wall?

 

c)    Sushant earns ₹6000 by working for 5 days. Find:

a. How much can he earn in 27 days?

b. How many days does he have to work to earn *24,000.

 

   d) Mr. Verma pays an annual rent of 63,600. Find the rent for 8 months.

  e) If 50 bottles can hold 750 L of oil, how many bottles are required to   hold 11,250 L of oil?

Grade-6 Topic: Ratio Worksheet-1

 

1) Find the ratio of the following quantities.

a. There are 5 red marbles and 7 white marbles in a box. Find the ratio of red marbles to white marbles.

b. The height of a water tank is 2 m and the height of a water bottle is 30 cm.

 

2)  Express the following ratios in their simplest form.

a. 45:60                b. 225:480

 

3)  Express the following ratios in their simplest form.

a. 4: 3/5                  b.   1/3:1/2 

 

4) Find the equivalent ratios for the following.

a. 3:5 by multiplication

b. 20:45 by division

 

5) Example 5: Write the missing numbers in the following ratios.

a. 5/7 = _ /14 = 15/_ = _ /70 = _ /42

b. 10/8 = _/16 = 40/_ = _/24 = 5/_

Grade-6 Topic: Ratio Worksheet-3

 

1)Test whether the following ratios are in the proportion

a.   2:4 and 22:44

b.   8:7 and 12 : 9

2) Find the missing term in the following proportion.

a. 12:9 :: ? : 3

b. 1:2 :: 50:?

3) Reena prepared 450 mL of juice. She used the fruit extract and water in the ratio 2:7. Find the quantity of each ingredient mixed in the juice.

4) The cost of 10 soft bound books is Rs. 600 and the cost of 18 hard bound books is Rs. 1800. Find whether the ratios of number of books and their cost are in proportion.

5) In a hotel mess, 15 L of milk is bought to serve 60 students. If the students are increased to 100, howmany litres of milk should they buy?

6) A string of length 150 cm is divided in two parts such that their lengths are in the ratio 5:7. Find the length of both the parts.

7) The present age of a mother is 48 years and her daughter is 16 years. Find the ratio of:

a. their present ages.

b. their ages after 10 years.

8) The cost of a dozen of apple is ₹300 and the cost of 10 oranges 150. Find the ratio of the cost of an apple to the cost of an orange.

Grade-6 Topic: Ratio Worksheet-2

 

1) Compare the following ratios.

a. 5:2 and 2:7

b. 3:4, 4:6 and 5:7

 

2)  The length and breadth of frame A are in the ratio 45:70 and length and breadth of frame B are in ther atio 2):50. Which frame is bigger?

 

3)  Arun and Kiran are business partners. They invested capital in their business in the ratio 1:4. The business gave a profit of ₹15,000. How muc does each one get?

 

4) 450 chocolates were distributed among John, Abraham, and Joseph in the ratio 2:3:4. Find the number of chocolates obtained by each of them.

 

5) Latha and Smitha have invested 10,000 and ₹15,000, respectively, in a small business. If the business yields a profit of ₹1,00,000, how much will be their individual share in the profit?

 

6) There are 40 students in a class. 8 like music, 14 like dance, and the remaining like theatre. Find the ratio of:

a. the number of students who like music to the

number of students who like dance.

b. the number of students who like theatre to the total number of students in the class.

Grade-6 Topic: Decimal Worksheet-3

 

Choose the correct option.

1. Which of the following is a decimal?

a. 3.13          b. 0.002     c. 20.20       d. All of these

 

2. 0.001 is equal to

a.    1/10          b.     1/100       c.    1/1000      d.  1/10,000

 

3. 2.23 lies between

a. 0 and 1             b. 1 and 2             c. 2 and 3             d. 3 and 4

 

4. The place value of 8 in the decimal 90.687 is ____

a. Tenths    b. Hundredths     c. Thousandths    d. Ones

 

5. The decimal which is lesser than 0.03 is

a. 0.3           b. 0.05        c. 0.08         d. 0.003

 

2. Arrange the following decimals as indicated.

a. 2.03, 2.032, 3.0, 3.3, 2.102 (ascending)

b. 12.1, 8.01, 9.3, 12.02, 8.2 (descending)

 

3. Convert:

a. 3 m 10 cm into cm.

b. Rs. 36.50  into p.

c. 40 mL into L.

 

4. Solve

1. The following decimals are arranged in the decreasing order:

6.2, 6.02, and 6.002. (True/False)

2. 1.3 m = _____cm

3. Three decimals greater than 1.08 are ___, ____and _____

4. Which is longer, a rod of 2.1 m or a rod of 2.11 m?

5. Which is lighter, an apple weighing 20.02 g or an orange weighing 20.2 g?

6.1.025 kg = _________g

7. 0.03 +0.07 = ______

8.0.25-0.25= _________

9. 0.005+1.002 -0.007= _______

10. Encircle the unlike decimal: 5.895, 6.65, 2.573, 5.678

 

5. Identify the place value of the underlined digits.

a. 2.345       b. 0.1256              c. 123.90              d. 3.009                e. 1.052

 

6. Write the following as decimal numbers.

a. Seven point nine

b. Seventy and one hundred twenty-three thousandths

c. Twelve point zero seven

d. One hundred twenty-six and one tenths

 

Word Problems:

a)  Pinky purchased 4 kg 35 g moong dal, 5 kg 750 g sugar, and 25 kg 500 g rice at a shop. Find the total weight of the groceries purchased by her.

 

b)  Santhosh travelled from Mumbai to Pune which was 148.7 km and from Pune to Shirdi which was 180.1 km on a particular day. What is the total distance travelled by Santhosh from Mumbai to Shirdi?

 

c) The time recorded by the individuals of a group in a relay race is 0.78 seconds, 0.75 seconds, 0.7 seconds, and 0.69 seconds. What was the time taken by the group to complete the relay race?

 

d)  Hiyang bought 4 different chocolates from a provision store weighing 0.005kg, 0.008kg, 30g, and 150g, respectively. What is the total weight of the chocolates in kg?

 

e)  Manju purchased some items from a grocery shop. The bill was 52.25. She pays ₹100 to the shopkeeper and the shopkeeper gives back ₹37.25 in return. Did the shopkeeper give the correct change? If not, then how much more does he have to give to Manju?

 

 

 

 

 

Grade-6 Topic: Decimal Worksheet-2

 

1. Fill in the blanks.

a. The place value of 1 in the decimal 0.213 is

b. The expanded form of 1.08 is_________

c. 5 m 30 cm is equal to _________ m.

d. The fractional form of 1.3 is

e. 3.82 +0.62 =

 

2. State whether the following statements are true (T) or false (F).

a. 3.3 is a decimal number.

b. 12.2 is greater than 12.23.

 

3. Convert the following fractions into decimals:

 5/10,   26/100,    3/100,   461/100,   8/100

4. Convert the following decimals into fractions:

1)   0.7     2) 0.06     3) 1.53    4) 21.8     5) 0.362

 

5. Represent the following numbers on the number line

a)   0.9  b) 1.3   c) 0.09

 

6. Match the following.

a. 20.3 +90.45               i. 9.875

b. 0.5+1.5                      ii. 3

c. 3.7-0.7                       iii. 8.28

d. 3 +5.2 +0.08              iv. 2

 e.10-0.125                    v. 110.75  v

Grade-6 Topic: Decimal Worksheet-1

 

Evaluate.

i. 112.9 + 30.789-65.08

ii. 0.03 +0.8 -0.12

iii. 45-2.89 + 1.007

iv. 234.89 + 100.082-289.56 v. 100 -0.99 + 99.90 ni nois

 

Solve the following word problems.

 

a. The closing balance of Mr Ramesh is 1250.32. He deposited 234.50. What is the total amount in his account?

 

b. Vashist walked 2.05 km and jogged 1.002 km. What is the total distance travelled by Vashist?

 

c. Pramila wants to exchange her mobile phone weighing 150.204 g for a new mobile that weighs 180 g. What is the difference in the weights of the two mobile phones?

 

d. Ansh has a 9 m 4 cm rope with him. He cut it into two parts. If the length of one part is 6 m 80 cm, what is the length of the other part?

 

e. Geetha has a basket which contains vegetables weighing 8.750 kg. If she had bought 2 kg 500 g beans, 3 kg 650 g carrot, and the rest is cabbage, find the weight of the cabbage.