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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 219 · 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 5 consecutive numbers is 265. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 130. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  5. 5.The sum of two numbers is 32 and their difference is 24. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 116. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 62. What is the smaller number?
  10. 10.The sum of two numbers is 85 and their difference is 53. What is the smaller number?
  11. 11.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?
  12. 12.The sum of two numbers is 134 and their difference is 14. What is the larger number?
  13. 13.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  14. 14.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?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.One number is 4 times another. Their difference is 105. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 60. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 75. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 4 consecutive numbers is 106. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 140. What is the smaller number?
  24. 24.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?
  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 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?
  27. 27.One number is 6 times another. Their difference is 190. What is the smaller number?
  28. 28.The sum of two numbers is 57 and their difference is 1. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 92. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 102 and their difference is 62. What is the smaller number?
  35. 35.The sum of two numbers is 139 and their difference is 41. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 34. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  40. 40.One number is 5 times another. Their difference is 148. What is the smaller number?

Answer key

  1. 55
  2. 26
  3. 62
  4. 77
  5. 4
  6. 48
  7. 29
  8. 43
  9. 31
  10. 16
  11. 89
  12. 74
  13. 5
  14. 79
  15. 45
  16. 35
  17. 30
  18. 26
  19. 43
  20. 27
  21. 28
  22. 11
  23. 28
  24. 35
  25. 14
  26. 67
  27. 38
  28. 28
  29. 55
  30. 23
  31. 22
  32. 8
  33. 78
  34. 20
  35. 90
  36. 34
  37. 51
  38. 81
  39. 32
  40. 37

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