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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 981 · 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 odd numbers is 232. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of two numbers is 118 and their difference is 40. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  5. 5.One number is 3 times another. Their difference is 64. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.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?
  8. 8.The sum of two numbers is 161 and their difference is 21. What is the larger number?
  9. 9.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 90. What is the largest of them?
  12. 12.One number is 4 times another. Their difference is 102. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 150. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 90. What is the largest of them?
  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 4 consecutive numbers is 186. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 5 consecutive numbers is 180. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 132. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  25. 25.One number is 2 times another. Their difference is 21. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 150. What is the largest of them?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  35. 35.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  36. 36.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?
  37. 37.The sum of two numbers is 104 and their difference is 42. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 58. What is the smaller number?
  40. 40.The sum of two numbers is 136 and their difference is 48. What is the smaller number?

Answer key

  1. 55
  2. 89
  3. 39
  4. 26
  5. 32
  6. 78
  7. 79
  8. 91
  9. 44
  10. 31
  11. 31
  12. 34
  13. 39
  14. 20
  15. 17
  16. 45
  17. 50
  18. 68
  19. 38
  20. 74
  21. 33
  22. 58
  23. 29
  24. 17
  25. 21
  26. 8
  27. 6
  28. 51
  29. 46
  30. 27
  31. 45
  32. 36
  33. 41
  34. 39
  35. 71
  36. 69
  37. 31
  38. 34
  39. 29
  40. 44

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