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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 519 · 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 6 times another. Their difference is 180. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  3. 3.One number is 4 times another. Their difference is 102. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.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?
  9. 9.The sum of two numbers is 121 and their difference is 51. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 90. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 177. 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 digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of two numbers is 37 and their difference is 27. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 102. What is the largest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 98 and their difference is 10. What is the smaller number?
  22. 22.The sum of two numbers is 151 and their difference is 25. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 4 consecutive numbers is 234. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 104 and their difference is 76. What is the larger number?
  28. 28.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?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  32. 32.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?
  33. 33.One number is 6 times another. Their difference is 75. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  35. 35.The sum of two numbers is 41 and their difference is 17. What is the larger number?
  36. 36.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 35. What is the largest of them?
  38. 38.The sum of two numbers is 65 and their difference is 9. What is the smaller number?
  39. 39.The sum of two numbers is 68 and their difference is 42. What is the larger number?
  40. 40.One number is 4 times another. Their difference is 114. What is the smaller number?

Answer key

  1. 36
  2. 34
  3. 34
  4. 21
  5. 43
  6. 34
  7. 13
  8. 89
  9. 35
  10. 30
  11. 59
  12. 22
  13. 58
  14. 24
  15. 34
  16. 5
  17. 71
  18. 79
  19. 35
  20. 25
  21. 44
  22. 63
  23. 68
  24. 60
  25. 7
  26. 27
  27. 90
  28. 57
  29. 67
  30. 9
  31. 19
  32. 48
  33. 15
  34. 41
  35. 29
  36. 26
  37. 9
  38. 28
  39. 55
  40. 38

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