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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 320 · 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 4 consecutive odd numbers is 176. What is the smallest of them?
  2. 2.One number is 4 times another. Their difference is 51. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 48. What is the smaller number?
  4. 4.One number is 6 times another. Their difference is 170. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 60. What is the smaller number?
  7. 7.The sum of two numbers is 110 and their difference is 44. What is the smaller number?
  8. 8.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?
  9. 9.One number is 4 times another. Their difference is 27. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  11. 11.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?
  12. 12.The sum of two numbers is 18 and their difference is 16. What is the smaller number?
  13. 13.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  14. 14.The sum of two numbers is 39 and their difference is 9. What is the larger number?
  15. 15.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.One number is 4 times another. Their difference is 42. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 183. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  20. 20.The sum of two numbers is 80 and their difference is 16. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 78. What is the largest of them?
  22. 22.The sum of two numbers is 60 and their difference is 32. What is the larger number?
  23. 23.The sum of 4 consecutive numbers is 178. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 100. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 115. What is the smaller number?
  26. 26.The sum of two numbers is 132 and their difference is 8. What is the larger number?
  27. 27.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  29. 29.The sum of two numbers is 158 and their difference is 40. What is the larger number?
  30. 30.One number is 3 times another. Their difference is 74. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 64. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  34. 34.One number is 2 times another. Their difference is 38. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive even numbers is 144. What is the largest 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 18. What is the number?
  39. 39.The sum of 4 consecutive numbers is 58. What is the largest of them?
  40. 40.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?

Answer key

  1. 41
  2. 17
  3. 24
  4. 34
  5. 8
  6. 30
  7. 33
  8. 36
  9. 9
  10. 40
  11. 89
  12. 1
  13. 70
  14. 24
  15. 14
  16. 14
  17. 62
  18. 57
  19. 32
  20. 32
  21. 21
  22. 46
  23. 46
  24. 20
  25. 23
  26. 70
  27. 20
  28. 60
  29. 99
  30. 37
  31. 32
  32. 43
  33. 27
  34. 38
  35. 29
  36. 37
  37. 50
  38. 68
  39. 16
  40. 48

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