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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 912 · 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 106 and their difference is 90. What is the larger number?
  2. 2.The sum of two numbers is 53 and their difference is 1. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 111. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  6. 6.The sum of two numbers is 33 and their difference is 15. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 159. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of two numbers is 45 and their difference is 7. What is the larger number?
  12. 12.One number is 2 times another. Their difference is 11. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  14. 14.The sum of two numbers is 132 and their difference is 4. What is the larger number?
  15. 15.The sum of two numbers is 52 and their difference is 4. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  17. 17.The sum of two numbers is 55 and their difference is 1. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 27. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 26. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 110. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 51. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 120. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  28. 28.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  29. 29.The sum of two numbers is 152 and their difference is 10. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  31. 31.The sum of two numbers is 83 and their difference is 19. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 4 consecutive numbers is 214. What is the largest of them?
  34. 34.The sum of two numbers is 70 and their difference is 58. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 30. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  37. 37.One number is 6 times another. Their difference is 95. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 40. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  40. 40.The sum of two numbers is 54 and their difference is 14. What is the larger number?

Answer key

  1. 98
  2. 26
  3. 58
  4. 38
  5. 22
  6. 9
  7. 63
  8. 54
  9. 55
  10. 24
  11. 26
  12. 11
  13. 29
  14. 68
  15. 24
  16. 41
  17. 27
  18. 57
  19. 22
  20. 10
  21. 26
  22. 70
  23. 11
  24. 22
  25. 17
  26. 30
  27. 79
  28. 61
  29. 71
  30. 18
  31. 32
  32. 89
  33. 55
  34. 6
  35. 30
  36. 14
  37. 19
  38. 10
  39. 19
  40. 34

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