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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 760 · 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 even numbers is 120. What is the largest of them?
  2. 2.The sum of two numbers is 111 and their difference is 63. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 26. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 66. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 48. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 98. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 170. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 40. What is the smaller number?
  13. 13.The sum of two numbers is 137 and their difference is 53. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 75. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 23. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 82. What is the largest of them?
  18. 18.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?
  19. 19.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  20. 20.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?
  21. 21.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 12. What is the smaller number?
  24. 24.The sum of two numbers is 52 and their difference is 14. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 65. What is the smaller number?
  26. 26.The sum of two numbers is 71 and their difference is 37. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  28. 28.One number is 5 times another. Their difference is 128. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  34. 34.The sum of two numbers is 117 and their difference is 63. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  37. 37.The sum of two numbers is 26 and their difference is 12. What is the larger number?
  38. 38.One number is 3 times another. Their difference is 74. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 4 consecutive numbers is 146. What is the smallest of them?

Answer key

  1. 42
  2. 24
  3. 17
  4. 26
  5. 64
  6. 18
  7. 12
  8. 26
  9. 45
  10. 37
  11. 34
  12. 20
  13. 95
  14. 17
  15. 71
  16. 23
  17. 22
  18. 49
  19. 17
  20. 46
  21. 72
  22. 5
  23. 12
  24. 19
  25. 13
  26. 17
  27. 24
  28. 32
  29. 78
  30. 26
  31. 89
  32. 6
  33. 55
  34. 27
  35. 15
  36. 48
  37. 19
  38. 37
  39. 47
  40. 35

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