Unit Test Solutions: Working with Fractions | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download

M.M. 30

Attempt all questions.

Question numbers 1 to 5 carry 1 mark each.
Question numbers 6 to 8 carry 2 marks each.
Question numbers  9 to 11 carry 3 marks each.
Question number 12 & 13 carry 5 marks each.

Q1. Sarah has 12 meters of fabric to make curtains, using 3/4 meter for each curtain. How many curtains can she make?  (1 mark)

(a) 12
(b) 16
(c) 20
(d) 24

Sol:
Total fabric Sarah has = 12 meters
Fabric used for 1 curtain = 3/4 meter

Number of curtains = Total fabric ÷ Fabric per curtain
= 12 ÷ (3/4)
= 12 × (4/3)
= 12 × 4 / 3
= 48 / 3
= 16

Sarah can make 16 curtains.
Answer: (b) 16

Q2. John has 5/6 kg of sugar, and he uses 1/12 kg for each cake. How many cakes can he make?  (1 mark)

(a) 5
(b) 8
(c) 10
(d) 12

Sol:
Total sugar John has = 5/6 kg
Sugar used per cake = 1/12 kg

Number of cakes = Total sugar ÷ Sugar per cake
= (5/6) ÷ (1/12)
= (5/6) × (12/1)
= 5 × 12 / 6
= 60 / 6
= 10

John can make 10 cakes.
Answer: (c) 10

Q3. A rope of 3/5 meter is cut into 9 equal pieces. What is the length of each piece?  (1 mark)

(a) 1/15 meter
(b) 1/10 meter
(c) 1/20 meter
(d) 1/45 meter

Sol:
Total length of rope = 3/5 meter
Number of pieces = 9

Length of each piece = Total length ÷ Number of pieces
= (3/5) ÷ 9
= (3/5) × (1/9)
= 3/45
= 1/15 meter

The length of each piece is 1/15 meter.
Answer: (a) 1/15 meter

Q4. When a number is multiplied by a fraction between 1/2 and 1, the product is ___ than the original number.  (1 mark)

(a) greater
(b) less
(c) equal
(d) cannot determine

Sol:
When a number is multiplied by a fraction between 1/2 and 1 (e.g., 3/4), the product is smaller than the original number but larger than if it were multiplied by a fraction less than 1/2.

Example: 8 × 3/4 = 6 (which is less than 8).
The product is always less than the original number.

Answer: (b) less

Q5. A recipe requires 3/8 liter of juice to make 12 servings. How much juice is needed for 1 serving? (1 mark)

(a) 1/16 liter
(b) 1/24 liter
(c) 1/32 liter
(d) 1/48 liter

Sol:
Total juice = 3/8 liter
Number of servings = 12

Juice per serving = Total juice ÷ Number of servings
= (3/8) ÷ 12
= (3/8) × (1/12)
= 3/96
= 1/32 liter

The amount of juice needed for 1 serving is 1/32 liter.
Answer: (c) 1/32 liter

Q6: Simplify: (2 mark)

Sol: 

Q7. If a painting is 5/6 painted, how much is unpainted? (2 mark)

Ans:

Q8. Convert into an improper fraction and divide it by . (2 mark)

Ans: 

Q9. Each side of a square iron sheet is. Find its area (3 mark)

Sol: Area of a square sheet = side x side = 

Q10. The cost of 1 kg of flour is . Find the cost ofof flour. (3 mark)

Sol: 

Q11.  Reduce the following fractions into their simplest form (3 mark)

(a)

Sol:

(b)

Sol:

Q12. Divide the sum of(5 mark)

Sol: 

Q13. A machine can print  pages in one minute. How many minutes will it take to print pages? (5 mark)

Sol: Number of minutes required to printpages