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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 228 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.One number is 2 times another. Their difference is 19. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 93. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  5. 5.The sum of two numbers is 69 and their difference is 37. What is the larger number?
  6. 6.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 245. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  12. 12.One number is 4 times another. Their difference is 24. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  14. 14.One number is 6 times another. Their difference is 120. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  16. 16.The sum of two numbers is 78 and their difference is 10. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 102. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 141. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 21. What is the smaller number?
  21. 21.One number is 3 times another. Their difference is 46. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 38. What is the largest of them?
  24. 24.The sum of two numbers is 33 and their difference is 9. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 87. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 170. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  28. 28.The sum of two numbers is 59 and their difference is 1. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 140. What is the smaller number?
  32. 32.The sum of two numbers is 62 and their difference is 6. What is the larger number?
  33. 33.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?
  34. 34.One number is 4 times another. Their difference is 60. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  36. 36.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  39. 39.The sum of two numbers is 22 and their difference is 4. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 148. What is the largest of them?

Answer key

  1. 89
  2. 19
  3. 31
  4. 13
  5. 53
  6. 62
  7. 59
  8. 82
  9. 51
  10. 38
  11. 59
  12. 8
  13. 19
  14. 24
  15. 11
  16. 34
  17. 34
  18. 38
  19. 48
  20. 21
  21. 23
  22. 20
  23. 11
  24. 12
  25. 29
  26. 44
  27. 34
  28. 29
  29. 30
  30. 34
  31. 28
  32. 34
  33. 45
  34. 20
  35. 43
  36. 43
  37. 25
  38. 63
  39. 9
  40. 40

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