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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 169 · 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 even numbers is 276. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  3. 3.One number is 4 times another. Their difference is 102. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 88. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 120. What is the largest of them?
  7. 7.The sum of two numbers is 20 and their difference is 8. What is the smaller number?
  8. 8.The sum of two numbers is 26 and their difference is 10. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 65. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 111. What is the largest of them?
  16. 16.One number is 3 times another. Their difference is 58. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 24. What is the smaller number?
  18. 18.The sum of two numbers is 41 and their difference is 7. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 93. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  23. 23.The sum of two numbers is 125 and their difference is 23. What is the larger number?
  24. 24.The sum of two numbers is 64 and their difference is 16. What is the larger number?
  25. 25.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 66. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 82. What is the largest of them?
  31. 31.The sum of two numbers is 50 and their difference is 36. What is the larger number?
  32. 32.The sum of two numbers is 71 and their difference is 11. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 87. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 144. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 48. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 90. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  39. 39.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  40. 40.The sum of 5 consecutive numbers is 135. What is the smallest of them?

Answer key

  1. 66
  2. 7
  3. 34
  4. 22
  5. 72
  6. 41
  7. 6
  8. 8
  9. 23
  10. 89
  11. 64
  12. 5
  13. 15
  14. 60
  15. 38
  16. 29
  17. 6
  18. 17
  19. 40
  20. 20
  21. 32
  22. 45
  23. 74
  24. 40
  25. 33
  26. 76
  27. 33
  28. 56
  29. 12
  30. 22
  31. 43
  32. 41
  33. 30
  34. 36
  35. 24
  36. 24
  37. 60
  38. 15
  39. 48
  40. 25

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