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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 516 · 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 numbers is 98. What is the smallest of them?
  2. 2.One number is 5 times another. Their difference is 128. What is the smaller number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  5. 5.One number is 4 times another. Their difference is 33. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 6. What is the smaller number?
  7. 7.The sum of two numbers is 87 and their difference is 31. What is the larger number?
  8. 8.One number is 5 times another. Their difference is 96. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 70. What is the largest of them?
  10. 10.The sum of two numbers is 99 and their difference is 29. What is the larger number?
  11. 11.The sum of two numbers is 58 and their difference is 4. What is the larger number?
  12. 12.One number is 2 times another. Their difference is 14. What is the smaller number?
  13. 13.The sum of two numbers is 96 and their difference is 82. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  15. 15.One number is 4 times another. Their difference is 90. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  18. 18.One number is 5 times another. Their difference is 148. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 118. What is the largest of them?
  20. 20.One number is 6 times another. Their difference is 125. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.The sum of 3 consecutive numbers is 72. What is the largest of them?
  23. 23.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?
  24. 24.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of two numbers is 103 and their difference is 73. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  28. 28.The sum of two numbers is 33 and their difference is 9. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 87. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 31. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 102. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 110. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of 4 consecutive numbers is 222. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  39. 39.The sum of two numbers is 184 and their difference is 2. What is the larger number?
  40. 40.The sum of 3 consecutive even numbers is 114. What is the smallest of them?

Answer key

  1. 23
  2. 32
  3. 59
  4. 29
  5. 11
  6. 3
  7. 59
  8. 24
  9. 16
  10. 64
  11. 31
  12. 14
  13. 89
  14. 41
  15. 30
  16. 62
  17. 39
  18. 37
  19. 31
  20. 25
  21. 35
  22. 25
  23. 69
  24. 20
  25. 67
  26. 88
  27. 29
  28. 12
  29. 89
  30. 61
  31. 29
  32. 31
  33. 27
  34. 22
  35. 74
  36. 16
  37. 57
  38. 48
  39. 93
  40. 36

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