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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 552 · 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 20. What is the smaller number?
  2. 2.The sum of two numbers is 43 and their difference is 27. What is the larger number?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  4. 4.One number is 3 times another. Their difference is 50. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 27. What is the smaller number?
  6. 6.The sum of two numbers is 33 and their difference is 23. What is the smaller number?
  7. 7.One number is 5 times another. Their difference is 52. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 75. What is the largest of them?
  16. 16.The sum of two numbers is 111 and their difference is 7. What is the larger number?
  17. 17.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 146. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 42. What is the smaller number?
  24. 24.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?
  25. 25.One number is 4 times another. Their difference is 57. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 54. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  28. 28.The sum of two numbers is 41 and their difference is 29. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  30. 30.One number is 2 times another. Their difference is 9. What is the smaller number?
  31. 31.The sum of two numbers is 129 and their difference is 55. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 14. What is the smaller number?
  33. 33.The sum of two numbers is 91 and their difference is 35. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.The sum of two numbers is 50 and their difference is 2. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 4 consecutive numbers is 158. What is the largest of them?
  40. 40.The sum of two numbers is 104 and their difference is 40. What is the larger number?

Answer key

  1. 4
  2. 35
  3. 18
  4. 25
  5. 27
  6. 5
  7. 13
  8. 12
  9. 85
  10. 56
  11. 51
  12. 73
  13. 71
  14. 54
  15. 26
  16. 59
  17. 41
  18. 38
  19. 24
  20. 73
  21. 11
  22. 48
  23. 14
  24. 12
  25. 19
  26. 19
  27. 32
  28. 6
  29. 51
  30. 9
  31. 37
  32. 7
  33. 63
  34. 26
  35. 24
  36. 17
  37. 24
  38. 45
  39. 41
  40. 72

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