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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 275 · 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 9. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  5. 5.The sum of two numbers is 23 and their difference is 19. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 35. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 194. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 138. What is the largest of them?
  12. 12.The sum of two numbers is 47 and their difference is 43. What is the larger number?
  13. 13.The sum of two numbers is 57 and their difference is 7. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  16. 16.One number is 3 times another. Their difference is 48. What is the smaller number?
  17. 17.The sum of two numbers is 86 and their difference is 16. What is the smaller number?
  18. 18.The sum of two numbers is 73 and their difference is 33. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  20. 20.One number is 6 times another. Their difference is 80. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 48. What is the smallest 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.One number is 2 times another. Their difference is 21. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 11. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  26. 26.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?
  27. 27.The sum of 5 consecutive numbers is 150. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  29. 29.The sum of two numbers is 32 and their difference is 2. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  33. 33.One number is 6 times another. Their difference is 125. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  36. 36.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 54. What is the smaller number?
  38. 38.The sum of two numbers is 41 and their difference is 7. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 180. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 92. What is the smaller number?

Answer key

  1. 36
  2. 74
  3. 89
  4. 76
  5. 2
  6. 9
  7. 17
  8. 15
  9. 54
  10. 50
  11. 36
  12. 45
  13. 25
  14. 33
  15. 37
  16. 24
  17. 35
  18. 20
  19. 21
  20. 16
  21. 9
  22. 47
  23. 21
  24. 11
  25. 38
  26. 56
  27. 32
  28. 59
  29. 15
  30. 67
  31. 14
  32. 19
  33. 25
  34. 69
  35. 30
  36. 13
  37. 18
  38. 17
  39. 36
  40. 23

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