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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 432 · 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 11. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  7. 7.One number is 2 times another. Their difference is 26. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  9. 9.The sum of two numbers is 195 and their difference is 1. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 55. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 51. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  13. 13.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 95 and their difference is 31. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 25. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.One number is 3 times another. Their difference is 12. What is the smaller number?
  19. 19.The sum of two numbers is 99 and their difference is 17. What is the larger number?
  20. 20.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  21. 21.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?
  22. 22.One number is 3 times another. Their difference is 18. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 36. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 130. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  28. 28.The sum of two numbers is 124 and their difference is 24. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 270. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.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?
  34. 34.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  35. 35.The sum of two numbers is 16 and their difference is 8. What is the smaller number?
  36. 36.The sum of two numbers is 49 and their difference is 43. What is the larger number?
  37. 37.One number is 2 times another. Their difference is 11. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 130. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 174. What is the largest of them?

Answer key

  1. 38
  2. 65
  3. 17
  4. 6
  5. 42
  6. 60
  7. 26
  8. 74
  9. 97
  10. 11
  11. 17
  12. 64
  13. 48
  14. 78
  15. 32
  16. 5
  17. 57
  18. 6
  19. 58
  20. 6
  21. 12
  22. 9
  23. 13
  24. 26
  25. 79
  26. 24
  27. 27
  28. 50
  29. 56
  30. 22
  31. 85
  32. 36
  33. 89
  34. 13
  35. 4
  36. 46
  37. 11
  38. 78
  39. 28
  40. 59

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