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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 867 · 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.One number is 5 times another. Their difference is 144. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 285. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.The sum of two numbers is 61 and their difference is 15. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  9. 9.One number is 2 times another. Their difference is 37. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 125. What is the smaller number?
  13. 13.The sum of two numbers is 174 and their difference is 16. What is the smaller number?
  14. 14.The sum of two numbers is 12 and their difference is 8. What is the larger number?
  15. 15.The sum of two numbers is 86 and their difference is 8. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 214. What is the largest of them?
  21. 21.The sum of two numbers is 116 and their difference is 10. What is the larger number?
  22. 22.The sum of 4 consecutive numbers is 94. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  24. 24.The sum of 5 consecutive numbers is 295. What is the largest of them?
  25. 25.The sum of two numbers is 158 and their difference is 8. What is the smaller number?
  26. 26.The sum of two numbers is 125 and their difference is 29. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  28. 28.One number is 3 times another. Their difference is 60. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  31. 31.The sum of two numbers is 41 and their difference is 3. What is the larger number?
  32. 32.The sum of two numbers is 90 and their difference is 52. What is the smaller number?
  33. 33.The sum of two numbers is 75 and their difference is 7. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  35. 35.The sum of two numbers is 48 and their difference is 26. What is the larger number?
  36. 36.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  38. 38.The sum of two numbers is 21 and their difference is 17. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 150. What is the largest of them?

Answer key

  1. 36
  2. 23
  3. 8
  4. 59
  5. 40
  6. 26
  7. 23
  8. 9
  9. 37
  10. 38
  11. 71
  12. 25
  13. 79
  14. 10
  15. 39
  16. 41
  17. 48
  18. 89
  19. 44
  20. 55
  21. 63
  22. 25
  23. 25
  24. 61
  25. 75
  26. 48
  27. 33
  28. 30
  29. 16
  30. 69
  31. 22
  32. 19
  33. 41
  34. 32
  35. 37
  36. 23
  37. 54
  38. 2
  39. 71
  40. 52

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