Parts and Whole - 1 Class 5 Worksheet Maths

Q1: Convert to fractions:

(ii) 0.4 = ____
Ans: 4/10

(iii) 0.24 = ____
Ans: 24/100

(iv) 0.96 = ____
Ans: 96/100

(v) 0.6 = ____
Ans: 6/10

(vi) 0.2 = ____
Ans: 2/10

(vii) 0.7 = ____
Ans: 7/10

(viii) 0.19 = ____
Ans: 19/100

(ix) 0.95 = ____
Ans: 95/100

(x) 0.1 = ____
Ans: 1/10

Q2: Multiply:

(i) 7 x (3/4) = ____ 
Ans: 5(1/4)

(ii) (4/5) of 2 = ____
Ans: 1(3/5)

(iii) 2/8 of 7 = ____
Ans: 1(3/4)

(iv) 2/3 of 7 = ____
Ans: 4(2/3)

(v) 3/12 of 2 = ____
Ans: 1/2

(vi) 4 x 1/2 = ____
Ans: 2

(vii) 3/4 of 4 = ____
Ans: 3

(viii) 9/10 of 5 = ____
Ans: 4(1/2)

(ix) 6 x 2/5 = ____
Ans: 2(2/5)

(x) 2 x 3/6 = ____
Ans: 1

Q3: Compare the fractions, and write >, < or = in the box.

(i)
Ans: >

(ii)
Ans: >

(iii)
Ans: <

(iv)
Ans: >

(v)
Ans: <

(vi)
Ans: >

(vii)
Ans: >

(viii)
Ans: >

(ix)
Ans: <

Q4: Solve the following problems. If the problem asks for a ratio, give it in simplified form.

(i) A math club has 25 members, of which 11 are males and the rest are females. What is the ratio of males to all club members?
Ans: Total number of males = 11
Total number of club members = 25
Ratio of males to all club members = 11 : 25

(ii) A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children?
Ans: Total number of girls = 24
Total number of students = Girls + Boys = 24 + 8 = 32
The ratio of girls to all children = 24:32
On simplifying (dividing by 8)= 3:4

(iii) A group of preschoolers has 15 boys and 12 girls. What is the ratio of girls to boys?
Ans: Total number of girls = 15
Total number of boys = 12
Ratio of girls to boys = 15:12 or 4 : 5

(iv) A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles?
Ans: Total number of blue triangles = 4
Total number of triangles = 4 blue + 12 yellow triangles = 16
Ratio of blue triangles to all triangles = 1:16 or 1 : 4

(v) A gardening club has 21 members, of which 13 are males and the rest are females. What is the ratio of females to all club members?
Ans: Total club members = 21
Female club members = Total club members - Male club members = 21 - 13 = 8
Ratio of females to all club members = 8 : 21

(vi) Dylan drew 1 heart, 1 star, and 26 circles. What is the ratio of circles to hearts?
Ans:  To find the ratio of circles to hearts, we compare the number of circles to the number of hearts.

• Number of circles = 26
• Number of hearts = 1

So, the ratio of circles to hearts is = 26:1

(vii) A truck is carrying pear juice, cherry juice, and apple juice bottles in a ratio of 3 : 1 : 3. If there are 16 cherry juice bottles, then how many juice bottles in total are there?
Ans: The ratio of pear juice to cherry juice to apple juice is given as 3 : 1 : 3. This means that for every 3 bottles of pear juice, there is 1 bottle of cherry juice and 3 bottles of apple juice.

Since there are 16 cherry juice bottles, and the ratio for cherry juice is 1 part, we can find the value of 1 part:

• 1 part (cherry juice) = 16 bottles.

Now, we calculate the total number of bottles based on the ratio:

• Pear juice = 3 parts =3 x 16 = 48 bottles
• Cherry juice = 1 part = 16 bottles (already given)
• Apple juice = 3 parts = 3 x 16 = 48 bottles.

So, the total number of juice bottles is:
48 + 16 + 48 =112 bottles

Thus, there are 112 juice bottles in total.

(viii) The ratio of girls to boys in a chess club was 5 : 4. There were 32 boys. How many girls were there in the club?
Ans: The ratio of girls to boys in the chess club is 5 : 4, meaning for every 5 girls, there are 4 boys.
Since there are 32 boys, we know that 4 parts (the boys' part of the ratio) equals 32.
To find the value of 1 part, divide 32 by 4:
1 part = 32/4 = 8
Now, to find how many girls there are, we calculate the number of girls (5 parts):
Girls = 5 x 8 = 40
So, there are 40 girls in the club.

(ix) Jayden and Isabella share a reward of $40 in a ratio of 2 : 3. How much does Jayden get?
Ans: The ratio of Jayden's share to Isabella's share is 2 : 3, meaning Jayden gets 2 parts, and Isabella gets 3 parts of the total reward.
First, we calculate the total number of parts:
2 (Jayden's parts) + 3(Isabella's parts) = 5 parts
Next, we find the value of 1 part by dividing the total reward of $40 by 5:
1 part = 40/5 = 8

Now, to find Jayden's share (2 parts):
Jayden's share = 2 x 8 = 16

So, Jayden gets $16.

(x) A truck is carrying grape juice, passion fruit juice, and pear juice bottles in a ratio of 2 : 1 : 2. If there are 20 grape juice bottles, then how many passion fruit juice bottles are there?
Ans: The ratio of grape juice to passion fruit juice to pear juice is 2 : 1 : 2. This means for every 2 bottles of grape juice, there is 1 bottle of passion fruit juice and 2 bottles of pear juice.

Since there are 20 grape juice bottles, and the ratio for grape juice is 2 parts, we can find the value of 1 part:
2 parts (grape juice) = 20 bottles

1 part = 20/2 = 10 bottles

Now, to find how many passion fruit juice bottles there are (1 part), we simply use the value of 1 part:
Passion fruit juice = 1 x 10 = 10 bottles

Thus, there are 10 passion fruit juice bottles.