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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 700 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is smaller: −2/3 or −2/7? (a) −2/3 (b) −2/7
  2. 2.Is 1/3 positive or negative? (a) Negative (b) Positive
  3. 3.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  4. 4.What is the additive inverse of −7/9? (a) 7/9 (b) −9/7 (c) 9/7 (d) −7/9
  5. 5.What is 6/7 − (−3/4)? (a) 3/28 (b) 9/11 (c) 45/28 (d) −45/28
  6. 6.Is 6/8 positive or negative? (a) Positive (b) Negative
  7. 7.Write −8/36 in standard form (lowest terms, positive denominator). (a) −8/36 (b) 2/9 (c) −9/2 (d) −2/9
  8. 8.What is (−3/5) + (−5/9)? (a) −4/7 (b) 52/45 (c) −52/45 (d) −2/45
  9. 9.Write −18/48 in standard form (lowest terms, positive denominator). (a) −18/48 (b) 3/8 (c) −8/3 (d) −3/8
  10. 10.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −30/48 (d) −8/5
  11. 11.What is (−8/9) − 3/4? (a) 59/36 (b) −5/36 (c) −59/36 (d) −11/13
  12. 12.What is (−1/3) + (−3/5)? (a) −1/2 (b) 4/15 (c) −14/15 (d) 14/15
  13. 13.What is (−5/7) + 5/9? (a) −80/63 (b) 10/63 (c) 0 (d) −10/63
  14. 14.What is (−3/5) + 5/8? (a) 1/40 (b) 2/13 (c) −1/40 (d) −49/40
  15. 15.What is (−5/9) + (−5/7)? (a) 10/63 (b) −80/63 (c) −5/8 (d) 80/63
  16. 16.What is 4/7 − (−1/8)? (a) −39/56 (b) 1/3 (c) 25/56 (d) 39/56
  17. 17.What is (−5/9) + 5/6? (a) 0 (b) −5/18 (c) −25/18 (d) 5/18
  18. 18.Is −8/5 positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −1/8 or −4/7? (a) −4/7 (b) −1/8
  20. 20.Which is smaller: −1/2 or −1/3? (a) −1/2 (b) −1/3
  21. 21.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  22. 22.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  23. 23.What is 2/5 − (−1/6)? (a) 17/30 (b) 3/11 (c) −17/30 (d) 7/30
  24. 24.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  25. 25.Which is bigger: −5/6 or −2/5? (a) −5/6 (b) −2/5
  26. 26.What is 5/7 − (−3/4)? (a) −1/28 (b) −41/28 (c) 8/11 (d) 41/28
  27. 27.What is 1/3 + (−5/8)? (a) −4/11 (b) −7/24 (c) 7/24 (d) 23/24
  28. 28.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.Write −4/8 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −4/8 (d) 1/2
  30. 30.Which is smaller: −6/7 or −1/4? (a) −6/7 (b) −1/4
  31. 31.Which is bigger: −7/8 or −2/3? (a) −2/3 (b) −7/8
  32. 32.Which is bigger: −5/6 or −4/5? (a) −5/6 (b) −4/5
  33. 33.What is 6/7 + (−1/3)? (a) 1/2 (b) 11/21 (c) 25/21 (d) −11/21
  34. 34.What is (−4/9) − 3/5? (a) 7/45 (b) −47/45 (c) −1/2 (d) 47/45
  35. 35.What is 2/9 + (−1/4)? (a) −1/36 (b) 17/36 (c) 1/36 (d) 1/13
  36. 36.What is 1/9 + (−2/7)? (a) 25/63 (b) 11/63 (c) −11/63 (d) −1/16
  37. 37.What is (−4/9) + (−3/7)? (a) −7/16 (b) −1/63 (c) −55/63 (d) 55/63
  38. 38.What is the additive inverse of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  39. 39.Which is smaller: −2/3 or −5/6? (a) −2/3 (b) −5/6
  40. 40.Which is smaller: −7/8 or 5/6? (a) −7/8 (b) 5/6

Answer key

  1. −2/3
  2. Positive
  3. −8
  4. 7/9
  5. 45/28
  6. Positive
  7. −2/9
  8. −52/45
  9. −3/8
  10. −5/8
  11. −59/36
  12. −14/15
  13. −10/63
  14. 1/40
  15. −80/63
  16. 39/56
  17. 5/18
  18. Negative
  19. −1/8
  20. −1/2
  21. Positive
  22. Positive
  23. 17/30
  24. 9/2
  25. −2/5
  26. 41/28
  27. −7/24
  28. Negative
  29. −1/2
  30. −6/7
  31. −2/3
  32. −4/5
  33. 11/21
  34. −47/45
  35. −1/36
  36. −11/63
  37. −55/63
  38. −1/7
  39. −5/6
  40. −7/8

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