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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 402 · 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 15. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of two numbers is 148 and their difference is 34. What is the larger number?
  3. 3.The sum of two numbers is 61 and their difference is 9. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 260. What is the largest of them?
  5. 5.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  6. 6.The sum of two numbers is 159 and their difference is 37. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 48. What is the largest of them?
  8. 8.One number is 4 times another. Their difference is 12. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 48. What is the smaller number?
  13. 13.One number is 6 times another. Their difference is 160. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 84. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 76. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 100. What is the smaller number?
  17. 17.The sum of two numbers is 56 and their difference is 50. What is the larger number?
  18. 18.One number is 5 times another. Their difference is 136. What is the smaller number?
  19. 19.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  23. 23.The sum of two numbers is 112 and their difference is 72. What is the larger number?
  24. 24.One number is 3 times another. Their difference is 54. What is the smaller number?
  25. 25.The sum of two numbers is 18 and their difference is 16. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 26. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  28. 28.The sum of two numbers is 22 and their difference is 10. What is the larger number?
  29. 29.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 135. What is the largest of them?
  31. 31.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 186. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  34. 34.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?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 180. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 75. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 96. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 32. What is the smaller number?
  40. 40.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?

Answer key

  1. 69
  2. 91
  3. 26
  4. 54
  5. 12
  6. 61
  7. 17
  8. 4
  9. 57
  10. 48
  11. 57
  12. 16
  13. 32
  14. 28
  15. 38
  16. 20
  17. 53
  18. 34
  19. 4
  20. 16
  21. 13
  22. 66
  23. 92
  24. 27
  25. 1
  26. 13
  27. 48
  28. 16
  29. 67
  30. 46
  31. 26
  32. 48
  33. 84
  34. 46
  35. 78
  36. 38
  37. 26
  38. 32
  39. 32
  40. 56

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