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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 430 · 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 16. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  3. 3.The sum of two numbers is 87 and their difference is 75. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 90. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  9. 9.The sum of two numbers is 118 and their difference is 48. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 135. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  14. 14.The sum of two numbers is 96 and their difference is 58. What is the smaller number?
  15. 15.The sum of two numbers is 144 and their difference is 42. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.The sum of two numbers is 40 and their difference is 18. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  24. 24.The sum of two numbers is 142 and their difference is 56. What is the larger number?
  25. 25.One number is 3 times another. Their difference is 62. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  27. 27.The sum of two numbers is 109 and their difference is 77. What is the smaller number?
  28. 28.The sum of two numbers is 118 and their difference is 14. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 26. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 4. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  35. 35.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?
  36. 36.One number is 4 times another. Their difference is 9. What is the smaller number?
  37. 37.The sum of two numbers is 103 and their difference is 7. What is the larger number?
  38. 38.One number is 2 times another. Their difference is 11. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 12. What is the smaller number?
  40. 40.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?

Answer key

  1. 79
  2. 46
  3. 6
  4. 65
  5. 18
  6. 89
  7. 1
  8. 45
  9. 35
  10. 27
  11. 27
  12. 57
  13. 35
  14. 19
  15. 51
  16. 46
  17. 12
  18. 16
  19. 68
  20. 11
  21. 62
  22. 47
  23. 53
  24. 99
  25. 31
  26. 70
  27. 16
  28. 52
  29. 26
  30. 47
  31. 22
  32. 6
  33. 4
  34. 31
  35. 49
  36. 3
  37. 55
  38. 11
  39. 6
  40. 78

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