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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 341 · 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 2 times another. Their difference is 4. What is the smaller number?
  2. 2.The sum of two numbers is 54 and their difference is 12. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 88. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 58. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  9. 9.The sum of two numbers is 79 and their difference is 47. What is the smaller number?
  10. 10.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?
  11. 11.One number is 6 times another. Their difference is 130. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 235. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  18. 18.The sum of two numbers is 92 and their difference is 42. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  21. 21.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?
  22. 22.One number is 2 times another. Their difference is 18. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 87. What is the smaller number?
  24. 24.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?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 15 and their difference is 5. What is the smaller number?
  29. 29.The sum of two numbers is 136 and their difference is 48. What is the larger number?
  30. 30.One number is 5 times another. Their difference is 136. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  32. 32.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?
  33. 33.One number is 5 times another. Their difference is 60. What is the smaller number?
  34. 34.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?
  35. 35.The sum of two numbers is 155 and their difference is 7. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  38. 38.The sum of two numbers is 83 and their difference is 51. What is the smaller number?
  39. 39.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  40. 40.The sum of two numbers is 125 and their difference is 67. What is the larger number?

Answer key

  1. 4
  2. 21
  3. 22
  4. 33
  5. 22
  6. 16
  7. 74
  8. 7
  9. 16
  10. 79
  11. 26
  12. 49
  13. 35
  14. 29
  15. 54
  16. 57
  17. 48
  18. 25
  19. 41
  20. 63
  21. 89
  22. 18
  23. 29
  24. 38
  25. 19
  26. 14
  27. 26
  28. 5
  29. 92
  30. 34
  31. 7
  32. 46
  33. 15
  34. 78
  35. 74
  36. 67
  37. 33
  38. 16
  39. 52
  40. 96

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