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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 409 · 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 152 and their difference is 44. What is the larger number?
  2. 2.One number is 2 times another. Their difference is 28. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  4. 4.One number is 3 times another. Their difference is 14. What is the smaller number?
  5. 5.The sum of two numbers is 130 and their difference is 4. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  7. 7.The sum of 3 consecutive numbers is 54. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  9. 9.The sum of two numbers is 135 and their difference is 31. What is the larger number?
  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 sum of two numbers is 84 and their difference is 68. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  18. 18.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  19. 19.The sum of two numbers is 32 and their difference is 20. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  21. 21.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?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  24. 24.The sum of two numbers is 142 and their difference is 14. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 128. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 76. What is the smaller number?
  28. 28.The sum of two numbers is 22 and their difference is 10. What is the larger number?
  29. 29.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  30. 30.The sum of two numbers is 96 and their difference is 86. What is the larger number?
  31. 31.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.The sum of 4 consecutive numbers is 98. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 45. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 32. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  37. 37.The sum of two numbers is 41 and their difference is 21. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 141. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  40. 40.The sum of two numbers is 83 and their difference is 67. What is the smaller number?

Answer key

  1. 98
  2. 28
  3. 48
  4. 7
  5. 63
  6. 46
  7. 19
  8. 55
  9. 83
  10. 78
  11. 8
  12. 14
  13. 6
  14. 52
  15. 79
  16. 25
  17. 85
  18. 70
  19. 6
  20. 51
  21. 89
  22. 16
  23. 12
  24. 64
  25. 42
  26. 32
  27. 38
  28. 16
  29. 53
  30. 91
  31. 47
  32. 67
  33. 26
  34. 9
  35. 8
  36. 52
  37. 10
  38. 48
  39. 61
  40. 8

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