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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 499 · 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 148. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 18. What is the smaller number?
  3. 3.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?
  4. 4.One number is 2 times another. Their difference is 34. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 42. What is the largest of them?
  6. 6.One number is 4 times another. Their difference is 12. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 76 and their difference is 42. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  13. 13.The sum of two numbers is 148 and their difference is 22. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 120. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 141. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 40. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 87. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 3. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 45. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 96. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 11. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 90. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 86 and their difference is 34. What is the larger number?
  40. 40.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?

Answer key

  1. 37
  2. 9
  3. 27
  4. 34
  5. 12
  6. 4
  7. 24
  8. 17
  9. 15
  10. 39
  11. 28
  12. 47
  13. 63
  14. 12
  15. 54
  16. 26
  17. 21
  18. 48
  19. 8
  20. 16
  21. 20
  22. 29
  23. 62
  24. 72
  25. 14
  26. 64
  27. 3
  28. 40
  29. 20
  30. 16
  31. 24
  32. 58
  33. 29
  34. 11
  35. 89
  36. 55
  37. 30
  38. 57
  39. 60
  40. 47

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