Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 (Old NCERT) > Unit Test: Rational Numbers
Unit Test: Rational Numbers | Mathematics (Maths) Class 7 (Old NCERT) PDF Download
Time: 1 hour M.M. 15
Attempt all questions.
- Question numbers 1 to 5 carry 1 mark each.
- Question numbers 6 to 10 carry 2 marks each.
Q1: List any five rational numbers between -1/2 and 2/3 (1 mark)
Q2: Give any four rational numbers equivalent to 4/9 (1 mark)
Q3: Rewrite -8/6 in the simplest form: (1 mark)
Q4: Which of these following pairs represents the same rational number? (1 mark)
(i) (-7/21) and (3/9)
(ii) (-16/20) and (20/-25)
(iii) (-5/-9) and (5/-9)
(iv) All of the above
Q5: Which is the correct option in the following: (1 mark)
(i) (-5/6) > (-4/3)
(ii) (-5/6) = (-4/3)
(iii) (-5/6) < (-4/3)
(ii) None of the above
Q6: Find (2 marks)
(a) 5/18 - 11/30
(b) 7/45 - (-4/12)
Q7: Find the value of: (2 marks)
(a) (-3/10) ÷ 2/5
(b) (-5/9) ÷ 2/3
Q8: Find the given product: (2 marks)
(a) (8/5) × (-3/7)
(b) (6/8) × (-5)
Q9: Which of these following pairs represents the same rational number? (2 marks)
(i) (-7/21) and (3/9)
(ii) (-16/20) and (20/-25)
Q10: Represent these numbers on the number line. (2 marks)
(i) 7/4
(ii) -5/6
The document Unit Test: Rational Numbers | Mathematics (Maths) Class 7 (Old NCERT) is a part of the Class 7 Course Mathematics (Maths) Class 7 (Old NCERT).
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FAQs on Unit Test: Rational Numbers - Mathematics (Maths) Class 7 (Old NCERT)
| 1. What are rational numbers? |  |
Ans. Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the numerator is an integer and the denominator is a non-zero integer. For example, 1/2, -3/4, and 5 are all rational numbers.
| 2. How do you add and subtract rational numbers? | |
Ans. To add or subtract rational numbers, first ensure that the fractions have a common denominator. If they do not, find the least common denominator (LCD), convert the fractions, and then add or subtract the numerators while keeping the denominator the same. Simplify the result if necessary.
| 3. Can rational numbers be negative? | |
Ans. Yes, rational numbers can be negative. Any fraction where the numerator is a negative integer or the denominator is a negative integer (but not both) is considered a negative rational number. For example, -2/3 and 4/-5 are both negative rational numbers.
| 4. How do you multiply and divide rational numbers? | |
Ans. To multiply rational numbers, multiply the numerators together and the denominators together. For instance, (3/4) * (2/5) = (3*2)/(4*5) = 6/20, which simplifies to 3/10. For division, multiply by the reciprocal of the second fraction. For example, (3/4) ÷ (2/5) = (3/4) * (5/2) = (3*5)/(4*2) = 15/8.
| 5. Are all integers considered rational numbers? | |
Ans. Yes, all integers are considered rational numbers because any integer can be expressed as a fraction with a denominator of 1. For example, the integer 5 can be written as 5/1, which is a rational number.
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