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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 176 · 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.One number is 6 times another. Their difference is 150. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  5. 5.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  6. 6.The sum of two numbers is 132 and their difference is 2. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 82. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  9. 9.One number is 4 times another. Their difference is 102. What is the smaller number?
  10. 10.The sum of two numbers is 73 and their difference is 25. What is the smaller number?
  11. 11.The sum of two numbers is 111 and their difference is 45. What is the larger number?
  12. 12.One number is 5 times another. Their difference is 80. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 205. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 40. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of two numbers is 75 and their difference is 11. What is the larger number?
  21. 21.One number is 3 times another. Their difference is 28. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of 4 consecutive numbers is 234. What is the largest of them?
  25. 25.The sum of two numbers is 119 and their difference is 9. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 66. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  29. 29.The sum of two numbers is 70 and their difference is 68. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.One number is 4 times another. Their difference is 120. What is the smaller number?
  33. 33.The sum of two numbers is 78 and their difference is 58. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.The sum of 5 consecutive numbers is 255. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  39. 39.The sum of two numbers is 117 and their difference is 31. What is the larger number?
  40. 40.One number is 2 times another. Their difference is 33. What is the smaller number?

Answer key

  1. 30
  2. 40
  3. 69
  4. 19
  5. 13
  6. 65
  7. 22
  8. 37
  9. 34
  10. 24
  11. 78
  12. 20
  13. 43
  14. 74
  15. 40
  16. 25
  17. 17
  18. 58
  19. 79
  20. 43
  21. 14
  22. 12
  23. 89
  24. 60
  25. 55
  26. 47
  27. 18
  28. 22
  29. 1
  30. 57
  31. 28
  32. 40
  33. 10
  34. 59
  35. 53
  36. 84
  37. 67
  38. 78
  39. 74
  40. 33

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