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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 923 · 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 11. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  5. 5.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 70. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 94. What is the largest of them?
  8. 8.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  9. 9.One number is 2 times another. Their difference is 3. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 42. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 120. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 146. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 81. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  19. 19.One number is 4 times another. Their difference is 102. What is the smaller number?
  20. 20.The sum of two numbers is 70 and their difference is 24. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  23. 23.One number is 2 times another. Their difference is 32. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  25. 25.The sum of two numbers is 97 and their difference is 71. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 38. What is the largest of them?
  27. 27.The sum of two numbers is 39 and their difference is 27. What is the larger number?
  28. 28.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the 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.One number is 4 times another. Their difference is 48. What is the smaller number?
  32. 32.The sum of two numbers is 162 and their difference is 32. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 66. 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 9. What is the number?
  36. 36.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 63. What is the largest of them?
  40. 40.One number is 6 times another. Their difference is 15. What is the smaller number?

Answer key

  1. 38
  2. 25
  3. 73
  4. 60
  5. 40
  6. 35
  7. 25
  8. 29
  9. 3
  10. 12
  11. 56
  12. 32
  13. 41
  14. 24
  15. 38
  16. 28
  17. 89
  18. 11
  19. 34
  20. 23
  21. 19
  22. 50
  23. 32
  24. 12
  25. 13
  26. 11
  27. 33
  28. 6
  29. 24
  30. 47
  31. 16
  32. 65
  33. 49
  34. 23
  35. 67
  36. 23
  37. 28
  38. 59
  39. 22
  40. 3

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