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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 276 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 62 and their difference is 26. What is the larger number?
  3. 3.The sum of two numbers is 154 and their difference is 38. What is the larger number?
  4. 4.The sum of 3 consecutive numbers is 150. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  7. 7.The sum of two numbers is 151 and their difference is 17. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 4 consecutive numbers is 50. What is the largest of them?
  10. 10.The sum of two numbers is 11 and their difference is 9. What is the smaller number?
  11. 11.One number is 5 times another. Their difference is 44. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  13. 13.The sum of two numbers is 50 and their difference is 40. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 70. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of two numbers is 45 and their difference is 9. What is the larger number?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 39. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  21. 21.The sum of two numbers is 21 and their difference is 11. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  25. 25.The sum of two numbers is 33 and their difference is 31. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 32. What is the smaller number?
  27. 27.The sum of two numbers is 68 and their difference is 28. What is the larger number?
  28. 28.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?
  29. 29.One number is 4 times another. Their difference is 36. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 144. What is the largest of them?
  31. 31.One number is 2 times another. Their difference is 16. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  33. 33.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  34. 34.The sum of two numbers is 140 and their difference is 2. What is the larger number?
  35. 35.The sum of 4 consecutive numbers is 38. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 184 and their difference is 12. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 115. What is the smaller number?
  40. 40.The sum of two numbers is 120 and their difference is 24. What is the larger number?

Answer key

  1. 89
  2. 44
  3. 96
  4. 51
  5. 17
  6. 11
  7. 67
  8. 48
  9. 14
  10. 1
  11. 11
  12. 13
  13. 5
  14. 35
  15. 27
  16. 12
  17. 27
  18. 45
  19. 13
  20. 40
  21. 5
  22. 50
  23. 19
  24. 51
  25. 32
  26. 16
  27. 48
  28. 46
  29. 12
  30. 49
  31. 16
  32. 36
  33. 46
  34. 71
  35. 11
  36. 70
  37. 68
  38. 86
  39. 23
  40. 72

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