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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 782 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of two numbers is 90 and their difference is 30. What is the larger number?
  2. 2.One number is 5 times another. Their difference is 144. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 104. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 65. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.The sum of two numbers is 98 and their difference is 64. What is the larger number?
  14. 14.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  16. 16.One number is 4 times another. Their difference is 42. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  18. 18.The sum of two numbers is 77 and their difference is 51. What is the larger number?
  19. 19.The sum of two numbers is 174 and their difference is 6. What is the larger number?
  20. 20.One number is 4 times another. Their difference is 117. What is the smaller number?
  21. 21.One number is 5 times another. Their difference is 76. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 58. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  24. 24.The sum of two numbers is 98 and their difference is 6. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 48. What is the largest of them?
  26. 26.One number is 4 times another. Their difference is 114. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 170. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 178. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of two numbers is 149 and their difference is 27. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  32. 32.One number is 4 times another. Their difference is 63. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 36. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 10. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  38. 38.One number is 6 times another. Their difference is 180. What is the smaller number?
  39. 39.The sum of two numbers is 48 and their difference is 8. What is the larger number?
  40. 40.One number is 6 times another. Their difference is 175. What is the smaller number?

Answer key

  1. 60
  2. 36
  3. 26
  4. 74
  5. 46
  6. 58
  7. 49
  8. 23
  9. 15
  10. 78
  11. 16
  12. 57
  13. 81
  14. 89
  15. 13
  16. 14
  17. 32
  18. 64
  19. 90
  20. 39
  21. 19
  22. 16
  23. 61
  24. 46
  25. 17
  26. 38
  27. 44
  28. 46
  29. 26
  30. 61
  31. 6
  32. 21
  33. 13
  34. 57
  35. 10
  36. 60
  37. 47
  38. 36
  39. 28
  40. 35

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