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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 378 · 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 digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  3. 3.The sum of two numbers is 46 and their difference is 6. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 159. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 44. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 30. What is the smaller number?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  14. 14.The sum of two numbers is 25 and their difference is 9. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  17. 17.The sum of two numbers is 152 and their difference is 38. What is the larger number?
  18. 18.The sum of two numbers is 47 and their difference is 41. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 156. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  21. 21.The sum of two numbers is 75 and their difference is 11. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 62. What is the largest of them?
  23. 23.The sum of two numbers is 74 and their difference is 14. What is the larger number?
  24. 24.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  25. 25.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  27. 27.The sum of two numbers is 127 and their difference is 21. What is the larger number?
  28. 28.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?
  29. 29.The sum of two numbers is 169 and their difference is 27. What is the larger number?
  30. 30.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 68. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  33. 33.The sum of two numbers is 96 and their difference is 16. What is the smaller number?
  34. 34.The sum of two numbers is 29 and their difference is 21. What is the larger number?
  35. 35.The sum of two numbers is 74 and their difference is 28. What is the larger number?
  36. 36.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?
  37. 37.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 27. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 99. What is the smaller number?
  40. 40.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?

Answer key

  1. 35
  2. 56
  3. 20
  4. 13
  5. 54
  6. 20
  7. 11
  8. 32
  9. 9
  10. 15
  11. 26
  12. 79
  13. 21
  14. 8
  15. 25
  16. 50
  17. 95
  18. 3
  19. 39
  20. 85
  21. 32
  22. 17
  23. 44
  24. 37
  25. 69
  26. 43
  27. 74
  28. 67
  29. 98
  30. 66
  31. 17
  32. 65
  33. 40
  34. 25
  35. 51
  36. 89
  37. 23
  38. 9
  39. 33
  40. 16

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