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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 379 · 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 digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 25 and their difference is 11. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 12. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 24. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  10. 10.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?
  11. 11.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 120. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 75. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 45. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.The sum of two numbers is 122 and their difference is 70. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 18. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 190. What is the largest of them?
  23. 23.The sum of two numbers is 136 and their difference is 42. What is the larger number?
  24. 24.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  25. 25.One number is 4 times another. Their difference is 24. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 114. What is the largest of them?
  27. 27.One number is 3 times another. Their difference is 44. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 171. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  30. 30.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 28. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 194. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  34. 34.One number is 5 times another. Their difference is 92. What is the smaller number?
  35. 35.The sum of two numbers is 84 and their difference is 50. What is the larger number?
  36. 36.The sum of 5 consecutive numbers is 205. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  39. 39.One number is 3 times another. Their difference is 42. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 42. What is the smaller number?

Answer key

  1. 34
  2. 7
  3. 4
  4. 71
  5. 21
  6. 24
  7. 29
  8. 31
  9. 29
  10. 25
  11. 22
  12. 12
  13. 73
  14. 41
  15. 55
  16. 15
  17. 79
  18. 11
  19. 38
  20. 26
  21. 7
  22. 40
  23. 89
  24. 80
  25. 8
  26. 30
  27. 22
  28. 58
  29. 75
  30. 13
  31. 28
  32. 50
  33. 17
  34. 23
  35. 67
  36. 43
  37. 89
  38. 16
  39. 21
  40. 14

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