Class 7 Exam > Class 7 Notes > Mathematics (Ganita Prakash) Class 7 - New NCERT > Unit Test : Working with Fractions
Unit Test : 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
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
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
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
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
Q6: Simplify: 
(2 mark)
Q7. If a painting is 5/6 painted, how much is unpainted? (2 mark)
Q8. Convert
into an improper fraction and divide it by 
. (2 mark)
Q9. Each side of a square iron sheet is
. Find its area (3 mark)
Q10. The cost of 1 kg of flour is 
. Find the cost of
of flour. (3 mark)
Q11. Reduce the following fractions into their simplest form (3 mark)
(a) 
(b) 
Q12. Divide the sum of 
(5 mark)
Q13. A machine can print 
pages in one minute. How many minutes will it take to print 
pages? (5 mark)
The document Unit Test : Working with Fractions | Mathematics (Ganita Prakash) Class 7 - New NCERT is a part of the Class 7 Course Mathematics (Ganita Prakash) Class 7 - New NCERT.
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FAQs on Unit Test : Working with Fractions - Mathematics (Ganita Prakash) Class 7 - New NCERT
| 1. What are fractions and how are they used in everyday life? |  |
Ans. Fractions represent a part of a whole and are written as two numbers separated by a slash, such as ½. They are used in everyday life for activities like cooking, where measurements often require fractions (e.g., using ¾ cup of flour), dividing things among people, and interpreting data in charts and graphs.
| 2. How do you add and subtract fractions? | |
Ans. To add or subtract fractions, you need a common denominator. If the denominators are the same, simply add or subtract the numerators and keep the denominator the same. If the denominators are different, find the least common denominator, convert the fractions, and then add or subtract the numerators.
| 3. What is the difference between proper, improper, and mixed fractions? | |
Ans. A proper fraction has a numerator smaller than the denominator (e.g., ⅗). An improper fraction has a numerator larger than or equal to the denominator (e.g., ⁵⁄₄). A mixed fraction combines a whole number and a proper fraction (e.g., 1⅖), representing values greater than one.
| 4. How do you convert an improper fraction to a mixed fraction? | |
Ans. To convert an improper fraction to a mixed fraction, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the proper fraction, while the denominator remains the same. For example, converting ⁵⁄₄ gives 1⅖.
| 5. Why is it important to simplify fractions, and how is this done? | |
Ans. Simplifying fractions makes them easier to understand and use. To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify ⁶⁄₈, divide both by ₂, resulting in ³⁄₄.
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