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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 542 · 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 even numbers is 244. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  4. 4.One number is 3 times another. Their difference is 68. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 48. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 206. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 114. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  16. 16.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?
  17. 17.One number is 6 times another. Their difference is 20. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 162. What is the largest of them?
  19. 19.One number is 2 times another. Their difference is 20. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  22. 22.One number is 4 times another. Their difference is 30. What is the smaller number?
  23. 23.The sum of two numbers is 65 and their difference is 21. What is the larger number?
  24. 24.One number is 5 times another. Their difference is 120. What is the smaller number?
  25. 25.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?
  26. 26.One number is 5 times another. Their difference is 124. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of two numbers is 99 and their difference is 77. What is the larger number?
  31. 31.One number is 5 times another. Their difference is 24. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  33. 33.The sum of two numbers is 124 and their difference is 58. What is the larger number?
  34. 34.The sum of two numbers is 31 and their difference is 3. What is the larger number?
  35. 35.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 200. What is the largest of them?
  40. 40.The sum of two numbers is 105 and their difference is 45. What is the larger number?

Answer key

  1. 58
  2. 28
  3. 29
  4. 34
  5. 60
  6. 55
  7. 38
  8. 24
  9. 53
  10. 10
  11. 45
  12. 67
  13. 30
  14. 57
  15. 25
  16. 79
  17. 4
  18. 42
  19. 20
  20. 78
  21. 41
  22. 10
  23. 43
  24. 30
  25. 89
  26. 31
  27. 58
  28. 80
  29. 26
  30. 88
  31. 6
  32. 51
  33. 91
  34. 17
  35. 83
  36. 18
  37. 22
  38. 13
  39. 42
  40. 75

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