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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 180 · 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 35. What is the smaller number?
  2. 2.The sum of two numbers is 130 and their difference is 66. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 22. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 80. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  11. 11.The sum of two numbers is 118 and their difference is 18. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  18. 18.One number is 3 times another. Their difference is 78. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  20. 20.The sum of two numbers is 53 and their difference is 21. What is the smaller number?
  21. 21.The sum of two numbers is 111 and their difference is 49. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of two numbers is 156 and their difference is 36. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 78. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 69. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 200. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 30. What is the smaller number?
  34. 34.The sum of two numbers is 65 and their difference is 25. What is the smaller number?
  35. 35.The sum of two numbers is 45 and their difference is 31. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 21. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 60. What is the smallest of them?

Answer key

  1. 35
  2. 32
  3. 11
  4. 22
  5. 16
  6. 41
  7. 16
  8. 55
  9. 15
  10. 27
  11. 50
  12. 56
  13. 53
  14. 48
  15. 59
  16. 17
  17. 14
  18. 39
  19. 78
  20. 16
  21. 31
  22. 47
  23. 13
  24. 60
  25. 26
  26. 49
  27. 47
  28. 23
  29. 8
  30. 61
  31. 24
  32. 40
  33. 30
  34. 20
  35. 7
  36. 7
  37. 11
  38. 89
  39. 67
  40. 12

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