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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 254 · 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 two numbers is 47 and their difference is 43. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 74. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  4. 4.One number is 3 times another. Their difference is 38. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 26. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 18. What is the smaller number?
  9. 9.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?
  10. 10.One number is 5 times another. Their difference is 12. What is the smaller number?
  11. 11.One number is 6 times another. Their difference is 190. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 160. What is the largest of them?
  14. 14.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?
  15. 15.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  16. 16.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of 5 consecutive numbers is 60. What is the largest of them?
  19. 19.The sum of two numbers is 103 and their difference is 91. What is the larger number?
  20. 20.One number is 2 times another. Their difference is 26. What is the smaller number?
  21. 21.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?
  22. 22.The sum of two numbers is 74 and their difference is 24. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 53 and their difference is 51. What is the larger number?
  26. 26.One number is 6 times another. Their difference is 90. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 132. What is the largest of them?
  29. 29.The sum of two numbers is 123 and their difference is 43. What is the larger number?
  30. 30.The sum of two numbers is 50 and their difference is 18. What is the larger number?
  31. 31.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  32. 32.The sum of two numbers is 87 and their difference is 47. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 54. What is the largest of them?
  35. 35.The sum of two numbers is 154 and their difference is 22. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 10. What is the smaller number?
  37. 37.One number is 6 times another. Their difference is 60. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  40. 40.The sum of two numbers is 57 and their difference is 7. What is the larger number?

Answer key

  1. 45
  2. 37
  3. 63
  4. 19
  5. 8
  6. 44
  7. 60
  8. 9
  9. 46
  10. 3
  11. 38
  12. 79
  13. 34
  14. 24
  15. 17
  16. 64
  17. 16
  18. 14
  19. 97
  20. 26
  21. 49
  22. 25
  23. 21
  24. 57
  25. 52
  26. 18
  27. 33
  28. 45
  29. 83
  30. 34
  31. 13
  32. 20
  33. 22
  34. 19
  35. 66
  36. 10
  37. 12
  38. 72
  39. 19
  40. 32

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