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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 953 · 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 12. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of two numbers is 35 and their difference is 9. What is the smaller number?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 20. What is the smaller number?
  7. 7.The sum of two numbers is 43 and their difference is 5. What is the larger number?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  10. 10.The sum of two numbers is 49 and their difference is 21. What is the larger number?
  11. 11.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 24. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 102. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 185. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 100. What is the smaller number?
  23. 23.The sum of two numbers is 65 and their difference is 53. What is the larger number?
  24. 24.One number is 4 times another. Their difference is 33. What is the smaller number?
  25. 25.The sum of two numbers is 25 and their difference is 9. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 12. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  28. 28.The sum of two numbers is 23 and their difference is 9. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 48. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 76. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  33. 33.The sum of two numbers is 109 and their difference is 67. What is the smaller number?
  34. 34.One number is 4 times another. Their difference is 66. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 170. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 108. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 75. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 9. What is the smaller number?

Answer key

  1. 48
  2. 13
  3. 78
  4. 36
  5. 35
  6. 10
  7. 24
  8. 49
  9. 25
  10. 35
  11. 24
  12. 46
  13. 8
  14. 14
  15. 35
  16. 19
  17. 59
  18. 27
  19. 57
  20. 22
  21. 37
  22. 20
  23. 59
  24. 11
  25. 8
  26. 4
  27. 14
  28. 16
  29. 29
  30. 17
  31. 19
  32. 8
  33. 21
  34. 22
  35. 89
  36. 44
  37. 38
  38. 36
  39. 26
  40. 9

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