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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 517 · 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.One number is 4 times another. Their difference is 114. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  5. 5.The sum of two numbers is 39 and their difference is 5. What is the larger number?
  6. 6.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?
  7. 7.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 4. What is the smaller number?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 70. What is the smaller number?
  11. 11.The sum of two numbers is 121 and their difference is 53. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  14. 14.The sum of two numbers is 176 and their difference is 16. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The sum of two numbers is 104 and their difference is 6. What is the larger number?
  18. 18.One number is 2 times another. Their difference is 35. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 86. What is the largest of them?
  20. 20.One number is 6 times another. Their difference is 110. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  23. 23.The sum of two numbers is 82 and their difference is 56. What is the larger number?
  24. 24.One number is 4 times another. Their difference is 48. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 162. What is the largest of them?
  26. 26.The sum of two numbers is 21 and their difference is 19. What is the larger number?
  27. 27.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.One number is 2 times another. Their difference is 13. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  32. 32.The sum of two numbers is 43 and their difference is 37. What is the larger number?
  33. 33.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of 5 consecutive numbers is 225. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  37. 37.The sum of two numbers is 99 and their difference is 37. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 51. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 240. What is the largest of them?

Answer key

  1. 38
  2. 22
  3. 17
  4. 76
  5. 22
  6. 89
  7. 69
  8. 4
  9. 16
  10. 35
  11. 34
  12. 68
  13. 42
  14. 80
  15. 25
  16. 68
  17. 55
  18. 35
  19. 23
  20. 22
  21. 78
  22. 81
  23. 69
  24. 16
  25. 42
  26. 20
  27. 38
  28. 75
  29. 24
  30. 13
  31. 59
  32. 40
  33. 16
  34. 46
  35. 47
  36. 13
  37. 68
  38. 18
  39. 26
  40. 63

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