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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 651 · 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 4 consecutive numbers is 238. What is the smallest of them?
  2. 2.One number is 3 times another. Their difference is 80. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 129. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 72. What is the smaller number?
  7. 7.The sum of two numbers is 109 and their difference is 59. What is the larger number?
  8. 8.The sum of two numbers is 118 and their difference is 24. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 75. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  11. 11.The sum of two numbers is 147 and their difference is 47. What is the smaller number?
  12. 12.The sum of two numbers is 19 and their difference is 13. What is the larger number?
  13. 13.The sum of two numbers is 132 and their difference is 18. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 28. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 18. What is the smaller number?
  16. 16.The sum of two numbers is 15 and their difference is 5. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  21. 21.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 8. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 16. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 205. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.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?
  28. 28.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  31. 31.The sum of two numbers is 112 and their difference is 36. What is the larger number?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  35. 35.The sum of two numbers is 50 and their difference is 22. What is the smaller number?
  36. 36.The sum of two numbers is 65 and their difference is 11. What is the smaller number?
  37. 37.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?
  38. 38.One number is 3 times another. Their difference is 16. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  40. 40.One number is 6 times another. Their difference is 145. What is the smaller number?

Answer key

  1. 58
  2. 40
  3. 56
  4. 21
  5. 44
  6. 36
  7. 84
  8. 47
  9. 25
  10. 24
  11. 50
  12. 16
  13. 57
  14. 7
  15. 9
  16. 5
  17. 80
  18. 12
  19. 10
  20. 21
  21. 12
  22. 8
  23. 4
  24. 71
  25. 43
  26. 14
  27. 45
  28. 15
  29. 31
  30. 52
  31. 74
  32. 27
  33. 67
  34. 31
  35. 14
  36. 27
  37. 89
  38. 8
  39. 74
  40. 29

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