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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 486 · 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 82. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  3. 3.The sum of two numbers is 53 and their difference is 35. What is the larger number?
  4. 4.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  5. 5.The sum of two numbers is 72 and their difference is 34. What is the larger number?
  6. 6.The sum of 4 consecutive numbers is 46. What is the largest of them?
  7. 7.One number is 3 times another. Their difference is 32. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 132. What is the largest of them?
  11. 11.The sum of two numbers is 65 and their difference is 43. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  13. 13.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 110. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 114. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 35. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 8. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  23. 23.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 54. What is the largest of them?
  25. 25.The sum of two numbers is 115 and their difference is 61. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 200. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 45. What is the largest of them?
  28. 28.The sum of two numbers is 35 and their difference is 5. What is the larger number?
  29. 29.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 159. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 70. What is the largest of them?
  32. 32.One number is 4 times another. Their difference is 111. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.One number is 4 times another. Their difference is 84. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 18. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 58. What is the smaller number?
  37. 37.The sum of two numbers is 158 and their difference is 30. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 100. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 5. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 275. What is the largest of them?

Answer key

  1. 19
  2. 25
  3. 44
  4. 57
  5. 53
  6. 13
  7. 16
  8. 78
  9. 74
  10. 45
  11. 54
  12. 21
  13. 32
  14. 22
  15. 76
  16. 9
  17. 27
  18. 19
  19. 39
  20. 9
  21. 8
  22. 56
  23. 56
  24. 15
  25. 27
  26. 40
  27. 16
  28. 20
  29. 48
  30. 54
  31. 16
  32. 37
  33. 23
  34. 28
  35. 9
  36. 29
  37. 64
  38. 25
  39. 5
  40. 57

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