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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 434 · 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 two numbers is 170 and their difference is 14. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 74. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  4. 4.One number is 4 times another. Their difference is 117. What is the smaller number?
  5. 5.The sum of two numbers is 116 and their difference is 16. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 4. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of 4 consecutive numbers is 154. What is the largest of them?
  12. 12.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 145. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 174. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 33. What is the largest of them?
  18. 18.The sum of two numbers is 134 and their difference is 30. What is the smaller number?
  19. 19.The sum of two numbers is 16 and their difference is 8. What is the larger number?
  20. 20.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?
  21. 21.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?
  22. 22.The sum of two numbers is 26 and their difference is 20. What is the smaller number?
  23. 23.The sum of two numbers is 74 and their difference is 20. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 16. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 26. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  30. 30.The sum of two numbers is 39 and their difference is 25. What is the larger number?
  31. 31.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  32. 32.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  33. 33.The sum of two numbers is 61 and their difference is 37. What is the smaller number?
  34. 34.The sum of two numbers is 87 and their difference is 65. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 33. What is the smaller number?
  36. 36.The sum of two numbers is 104 and their difference is 34. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 215. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  40. 40.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?

Answer key

  1. 92
  2. 37
  3. 6
  4. 39
  5. 50
  6. 37
  7. 89
  8. 84
  9. 4
  10. 35
  11. 40
  12. 83
  13. 63
  14. 31
  15. 51
  16. 59
  17. 12
  18. 52
  19. 12
  20. 78
  21. 24
  22. 3
  23. 27
  24. 8
  25. 67
  26. 27
  27. 26
  28. 65
  29. 57
  30. 32
  31. 23
  32. 17
  33. 12
  34. 76
  35. 33
  36. 35
  37. 45
  38. 17
  39. 46
  40. 14

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