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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 917 · 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 12 and their difference is 8. What is the smaller number?
  2. 2.One number is 5 times another. Their difference is 44. What is the smaller number?
  3. 3.The sum of two numbers is 150 and their difference is 2. What is the smaller number?
  4. 4.The sum of two numbers is 29 and their difference is 11. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  8. 8.One number is 5 times another. Their difference is 52. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 180. What is the largest of them?
  10. 10.The sum of two numbers is 134 and their difference is 38. What is the smaller number?
  11. 11.The sum of two numbers is 65 and their difference is 63. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 105. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 80. What is the largest of them?
  14. 14.The sum of two numbers is 54 and their difference is 34. What is the larger number?
  15. 15.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 24. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of two numbers is 124 and their difference is 52. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 45. What is the largest of them?
  27. 27.One number is 4 times another. Their difference is 117. What is the smaller number?
  28. 28.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?
  29. 29.One number is 3 times another. Their difference is 62. What is the smaller number?
  30. 30.One number is 4 times another. Their difference is 36. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 100. What is the largest 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.One number is 2 times another. Their difference is 37. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 27. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 96. What is the largest of them?
  39. 39.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?
  40. 40.The sum of two numbers is 162 and their difference is 2. What is the larger number?

Answer key

  1. 2
  2. 11
  3. 74
  4. 9
  5. 37
  6. 25
  7. 28
  8. 13
  9. 61
  10. 48
  11. 64
  12. 36
  13. 18
  14. 44
  15. 33
  16. 30
  17. 24
  18. 86
  19. 8
  20. 27
  21. 36
  22. 78
  23. 78
  24. 57
  25. 46
  26. 11
  27. 39
  28. 49
  29. 31
  30. 12
  31. 22
  32. 67
  33. 37
  34. 10
  35. 71
  36. 58
  37. 48
  38. 33
  39. 89
  40. 82

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