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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 229 · 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 4 times another. Their difference is 12. What is the smaller number?
  2. 2.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?
  3. 3.The sum of two numbers is 178 and their difference is 10. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  5. 5.The sum of two numbers is 56 and their difference is 8. What is the larger number?
  6. 6.One number is 5 times another. Their difference is 44. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The sum of two numbers is 71 and their difference is 27. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 235. What is the largest of them?
  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.The sum of two numbers is 147 and their difference is 13. What is the larger number?
  12. 12.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  14. 14.One number is 5 times another. Their difference is 16. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 65. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 140. What is the largest of them?
  21. 21.The sum of two numbers is 97 and their difference is 57. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 141. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 75. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.One number is 4 times another. Their difference is 60. What is the smaller number?
  29. 29.One number is 5 times another. Their difference is 108. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 202. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  32. 32.The sum of two numbers is 124 and their difference is 70. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  34. 34.The sum of two numbers is 19 and their difference is 3. What is the smaller number?
  35. 35.The sum of two numbers is 83 and their difference is 33. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 48. What is the largest of them?
  37. 37.One number is 4 times another. Their difference is 72. What is the smaller number?
  38. 38.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?
  39. 39.One number is 3 times another. Their difference is 30. What is the smaller number?
  40. 40.The sum of two numbers is 33 and their difference is 15. What is the larger number?

Answer key

  1. 4
  2. 27
  3. 84
  4. 41
  5. 32
  6. 11
  7. 68
  8. 22
  9. 49
  10. 79
  11. 80
  12. 34
  13. 50
  14. 4
  15. 68
  16. 34
  17. 59
  18. 15
  19. 41
  20. 30
  21. 20
  22. 48
  23. 29
  24. 25
  25. 63
  26. 47
  27. 23
  28. 20
  29. 27
  30. 52
  31. 33
  32. 27
  33. 7
  34. 8
  35. 25
  36. 17
  37. 24
  38. 58
  39. 15
  40. 24

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