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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 333 · 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 210. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 162. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  10. 10.The sum of two numbers is 37 and their difference is 25. What is the smaller number?
  11. 11.One number is 6 times another. Their difference is 105. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  13. 13.One number is 6 times another. Their difference is 30. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  16. 16.The sum of two numbers is 90 and their difference is 52. What is the larger number?
  17. 17.One number is 5 times another. Their difference is 108. What is the smaller number?
  18. 18.The sum of two numbers is 128 and their difference is 44. What is the larger number?
  19. 19.The sum of two numbers is 109 and their difference is 3. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  23. 23.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 63 and their difference is 9. What is the larger number?
  26. 26.The sum of two numbers is 59 and their difference is 7. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.One number is 5 times another. Their difference is 52. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 102. What is the largest of them?
  38. 38.The sum of two numbers is 14 and their difference is 6. What is the larger number?
  39. 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  40. 40.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?

Answer key

  1. 51
  2. 42
  3. 46
  4. 52
  5. 20
  6. 53
  7. 42
  8. 17
  9. 44
  10. 6
  11. 21
  12. 80
  13. 6
  14. 56
  15. 13
  16. 71
  17. 27
  18. 86
  19. 56
  20. 30
  21. 49
  22. 12
  23. 32
  24. 27
  25. 36
  26. 26
  27. 44
  28. 25
  29. 13
  30. 45
  31. 44
  32. 89
  33. 53
  34. 24
  35. 68
  36. 18
  37. 35
  38. 10
  39. 37
  40. 25

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