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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 719 · 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: −1/6 or 3/8? (a) −1/6 (b) 3/8
  2. 2.What is (−1/5) + 1/4? (a) 0 (b) −1/20 (c) 1/20 (d) −9/20
  3. 3.What is (−7/8) + (−4/7)? (a) −81/56 (b) −17/56 (c) 81/56 (d) −11/15
  4. 4.What is (−6/7) − (−3/5)? (a) −1/4 (b) −9/35 (c) 9/35 (d) −51/35
  5. 5.What is (−7/9) − (−1/8)? (a) −6/17 (b) −47/72 (c) 47/72 (d) −65/72
  6. 6.Is 1/5 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−4/7) − 1/5? (a) −27/35 (b) 27/35 (c) −13/35 (d) −5/12
  8. 8.Which is bigger: −3/5 or −7/8? (a) −7/8 (b) −3/5
  9. 9.What is 5/9 − (−2/9)? (a) 7/18 (b) −7/9 (c) 1/3 (d) 7/9
  10. 10.What is (−2/5) + (−4/7)? (a) 34/35 (b) −1/2 (c) −34/35 (d) 6/35
  11. 11.Is −5/2 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−1/2) + 4/7? (a) 1/14 (b) −1/14 (c) 1/3 (d) −15/14
  13. 13.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  14. 14.What is 1/5 + (−3/7)? (a) 22/35 (b) −8/35 (c) 8/35 (d) −1/6
  15. 15.Is −3/5 positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  17. 17.What is (−2/3) − 2/5? (a) −4/15 (b) −1/2 (c) 16/15 (d) −16/15
  18. 18.Which is smaller: −1/3 or −2/9? (a) −2/9 (b) −1/3
  19. 19.What is 3/5 + (−7/9)? (a) −8/45 (b) 8/45 (c) 62/45 (d) −2/7
  20. 20.What is (−5/8) + 3/5? (a) 1/40 (b) −2/13 (c) −49/40 (d) −1/40
  21. 21.Which is smaller: −3/5 or 2/3? (a) 2/3 (b) −3/5
  22. 22.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  23. 23.What is (−1/5) − (−3/7)? (a) 1/6 (b) 8/35 (c) −22/35 (d) −8/35
  24. 24.What is (−3/5) − 3/5? (a) −6/5 (b) −3/5 (c) 6/5 (d) 0
  25. 25.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.Is −7/7 positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −3/5 or −5/6? (a) −5/6 (b) −3/5
  28. 28.Which is bigger: −3/5 or −2/9? (a) −3/5 (b) −2/9
  29. 29.What is 1/5 − (−2/7)? (a) −17/35 (b) 1/4 (c) −3/35 (d) 17/35
  30. 30.Is 7/4 positive or negative? (a) Positive (b) Negative
  31. 31.What is 4/9 + (−5/6)? (a) 7/18 (b) 23/18 (c) −7/18 (d) −1/15
  32. 32.Is 1/6 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −5/8 or −7/8? (a) −5/8 (b) −7/8
  34. 34.What is (−3/4) − 7/9? (a) 1/36 (b) 55/36 (c) −55/36 (d) −10/13
  35. 35.What is the additive inverse of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  36. 36.Which is bigger: −3/5 or −1/3? (a) −1/3 (b) −3/5
  37. 37.What is 4/5 − (−2/9)? (a) −46/45 (b) 3/7 (c) 26/45 (d) 46/45
  38. 38.Which is smaller: −4/9 or −2/9? (a) −2/9 (b) −4/9
  39. 39.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  40. 40.What is the additive inverse of 3/4? (a) 4/3 (b) −4/3 (c) −3/4 (d) 3/4

Answer key

  1. −1/6
  2. 1/20
  3. −81/56
  4. −9/35
  5. −47/72
  6. Positive
  7. −27/35
  8. −3/5
  9. 7/9
  10. −34/35
  11. Negative
  12. 1/14
  13. 9/7
  14. −8/35
  15. Negative
  16. 1/6
  17. −16/15
  18. −1/3
  19. −8/45
  20. −1/40
  21. −3/5
  22. Negative
  23. 8/35
  24. −6/5
  25. Negative
  26. Negative
  27. −3/5
  28. −2/9
  29. 17/35
  30. Positive
  31. −7/18
  32. Positive
  33. −5/8
  34. −55/36
  35. −2/5
  36. −1/3
  37. 46/45
  38. −4/9
  39. −1/6
  40. −3/4

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