Rational Numbers - Worksheets

CBSE Worksheet-1
CLASS - VII Mathematics (Rational Numbers)

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Choose correct option in questions 1 to 4.

1. Rewrite −4472$\frac{-44}{72}$ in the simplest form.
   1. −118$\frac{-11}{8}$
   2. −1811$\frac{-18}{11}$
   3. −1119$\frac{-11}{19}$
   4. −1120$\frac{-11}{20}$
2. The sum of two rational numbers is –8, one number is 34$\frac{3}{4}$, find other.
   1. −435$\frac{-4}{35}$
   2. −354$\frac{-35}{4}$
   3. 354$\frac{35}{4}$
   4. 435$\frac{4}{35}$
3. Which of the rational number is positive?
   1. 9−15$\frac{9}{-15}$
   2. −23$\frac{-2}{3}$
   3. 37$\frac{3}{7}$
   4. −413$\frac{-4}{13}$
4. Write the rational number whose numerator is 4 × (-7) and denominator is (3 -7) × (15 - 11).
   1. 1628$\frac{16}{28}$
   2. 813$\frac{8}{13}$
   3. 138$\frac{13}{8}$
   4. 2816$\frac{28}{16}$

Fill in the blanks with the correct symbol out of >, < and =.

5. −13___−14$\frac{-1}{3}\mathrm{\_}\mathrm{\_}\mathrm{\_}\frac{-1}{4}$
6. 0___−76$0\mathrm{\_}\mathrm{\_}\mathrm{\_}\frac{-7}{6}$
7. 5−11___−511$\frac{5}{-11}\mathrm{\_}\mathrm{\_}\mathrm{\_}\frac{-5}{11}$
8. Do 4−9$\frac{4}{-9}$ and −1636$\frac{-16}{36}$ represent the same rational numbers?
9. Write the following rational numbers in ascending order: −37,−32,−34$\frac{-3}{7},\frac{-3}{2},\frac{-3}{4}$
10. Simplify: 134+−125+−34+23+−35+43$\frac{13}{4}+\frac{-12}{5}+\frac{-3}{4}+\frac{2}{3}+\frac{-3}{5}+\frac{4}{3}$.
11. From his home, Rahul walks 6/7 km towardsschool and then returns 5/6 km on the sameway towards his home to reach a landmark. Where will he be now from his home?

CBSE Worksheet-1
CLASS –VII Mathematics (Rational Numbers)
Answer key

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1. a
 
2. b
3. c
4. d
5. <
6. >
7. =
8. yes
9. −37<−34<−32$\frac{-3}{7}<\frac{-3}{4}<\frac{-3}{2}$
10. −12$\frac{-1}{2}$
11. 142$\frac{1}{42}$ km