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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 410 · 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.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?
  2. 2.One number is 6 times another. Their difference is 90. What is the smaller number?
  3. 3.The sum of two numbers is 122 and their difference is 4. What is the smaller number?
  4. 4.The sum of two numbers is 86 and their difference is 48. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 190. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 16. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 91 and their difference is 7. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 275. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 220. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  16. 16.The sum of two numbers is 22 and their difference is 18. What is the larger number?
  17. 17.The sum of two numbers is 49 and their difference is 21. What is the larger number?
  18. 18.The sum of two numbers is 37 and their difference is 5. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 28. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 160 and their difference is 20. What is the smaller number?
  29. 29.One number is 5 times another. Their difference is 100. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 22. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 33. What is the smaller number?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  38. 38.One number is 4 times another. Their difference is 51. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 63. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 100. What is the smallest of them?

Answer key

  1. 12
  2. 18
  3. 59
  4. 67
  5. 40
  6. 8
  7. 63
  8. 7
  9. 58
  10. 42
  11. 53
  12. 57
  13. 46
  14. 57
  15. 25
  16. 20
  17. 35
  18. 16
  19. 55
  20. 63
  21. 53
  22. 23
  23. 31
  24. 24
  25. 28
  26. 38
  27. 78
  28. 70
  29. 25
  30. 22
  31. 33
  32. 79
  33. 46
  34. 5
  35. 78
  36. 22
  37. 55
  38. 17
  39. 22
  40. 22

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