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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 278 · 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 89 and their difference is 87. What is the larger number?
  2. 2.One number is 6 times another. Their difference is 110. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 123. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 186. What is the largest of them?
  5. 5.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?
  6. 6.One number is 2 times another. Their difference is 11. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 52. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  12. 12.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.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?
  14. 14.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  15. 15.One number is 5 times another. Their difference is 140. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  17. 17.One number is 2 times another. Their difference is 17. What is the smaller number?
  18. 18.The sum of two numbers is 28 and their difference is 18. What is the larger number?
  19. 19.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  22. 22.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  25. 25.One number is 5 times another. Their difference is 152. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 39. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  29. 29.One number is 6 times another. Their difference is 165. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 112. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 135. What is the largest of them?
  35. 35.The sum of two numbers is 89 and their difference is 49. What is the smaller number?
  36. 36.One number is 6 times another. Their difference is 60. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 35. What is the smallest of them?

Answer key

  1. 88
  2. 22
  3. 42
  4. 48
  5. 89
  6. 11
  7. 54
  8. 43
  9. 26
  10. 51
  11. 37
  12. 69
  13. 48
  14. 60
  15. 35
  16. 11
  17. 17
  18. 23
  19. 62
  20. 40
  21. 49
  22. 10
  23. 46
  24. 21
  25. 38
  26. 26
  27. 39
  28. 68
  29. 33
  30. 79
  31. 35
  32. 28
  33. 74
  34. 46
  35. 20
  36. 12
  37. 44
  38. 79
  39. 13
  40. 5

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