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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 244 · 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 3. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 127 and their difference is 1. What is the larger number?
  3. 3.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 81. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  7. 7.One number is 3 times another. Their difference is 26. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  10. 10.The sum of two numbers is 100 and their difference is 4. What is the smaller number?
  11. 11.The sum of two numbers is 19 and their difference is 17. What is the larger number?
  12. 12.The sum of 4 consecutive numbers is 170. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 51. What is the largest of them?
  14. 14.The sum of two numbers is 148 and their difference is 46. What is the larger number?
  15. 15.One number is 6 times another. Their difference is 70. What is the smaller number?
  16. 16.One number is 5 times another. Their difference is 148. What is the smaller number?
  17. 17.The sum of two numbers is 114 and their difference is 28. What is the larger number?
  18. 18.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  19. 19.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  20. 20.The sum of two numbers is 43 and their difference is 3. What is the larger number?
  21. 21.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  22. 22.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?
  23. 23.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 30. What is the smaller number?
  25. 25.The sum of two numbers is 102 and their difference is 8. What is the larger number?
  26. 26.The sum of two numbers is 174 and their difference is 16. What is the smaller 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 sum of 4 consecutive even numbers is 132. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  31. 31.The sum of two numbers is 175 and their difference is 19. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  33. 33.The sum of two numbers is 80 and their difference is 70. What is the smaller number?
  34. 34.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?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  39. 39.The sum of two numbers is 16 and their difference is 4. What is the larger number?
  40. 40.The sum of 3 consecutive even numbers is 174. What is the largest of them?

Answer key

  1. 12
  2. 64
  3. 19
  4. 28
  5. 78
  6. 51
  7. 13
  8. 17
  9. 19
  10. 48
  11. 18
  12. 44
  13. 18
  14. 97
  15. 14
  16. 37
  17. 71
  18. 34
  19. 53
  20. 23
  21. 62
  22. 47
  23. 32
  24. 6
  25. 55
  26. 79
  27. 45
  28. 36
  29. 24
  30. 49
  31. 78
  32. 46
  33. 5
  34. 15
  35. 16
  36. 57
  37. 39
  38. 29
  39. 10
  40. 60

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