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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 212 · 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 3 consecutive numbers is 102. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 78. What is the largest of them?
  5. 5.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?
  6. 6.The sum of two numbers is 58 and their difference is 16. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 170. What is the largest of them?
  8. 8.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?
  9. 9.One number is 3 times another. Their difference is 64. What is the smaller number?
  10. 10.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?
  11. 11.The sum of two numbers is 166 and their difference is 4. What is the larger number?
  12. 12.One number is 4 times another. Their difference is 66. What is the smaller number?
  13. 13.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 42. What is the largest of them?
  16. 16.The sum of two numbers is 76 and their difference is 58. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  18. 18.One number is 4 times another. Their difference is 117. What is the smaller number?
  19. 19.The sum of two numbers is 102 and their difference is 70. What is the larger number?
  20. 20.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  21. 21.The sum of two numbers is 79 and their difference is 53. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 160. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  25. 25.The sum of two numbers is 45 and their difference is 3. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 153. What is the largest of them?
  31. 31.The sum of 3 consecutive numbers is 75. What is the largest of them?
  32. 32.The sum of two numbers is 157 and their difference is 11. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of two numbers is 83 and their difference is 61. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  38. 38.The sum of two numbers is 42 and their difference is 32. What is the smaller number?
  39. 39.The sum of two numbers is 45 and their difference is 29. What is the larger number?
  40. 40.The sum of two numbers is 74 and their difference is 6. What is the smaller number?

Answer key

  1. 35
  2. 10
  3. 89
  4. 21
  5. 47
  6. 21
  7. 44
  8. 26
  9. 32
  10. 69
  11. 85
  12. 22
  13. 30
  14. 71
  15. 12
  16. 9
  17. 11
  18. 39
  19. 86
  20. 49
  21. 13
  22. 32
  23. 40
  24. 70
  25. 21
  26. 66
  27. 81
  28. 57
  29. 9
  30. 52
  31. 26
  32. 73
  33. 23
  34. 72
  35. 80
  36. 24
  37. 29
  38. 5
  39. 37
  40. 34

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