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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 931 · 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 16. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  4. 4.The sum of two numbers is 84 and their difference is 50. What is the smaller number?
  5. 5.The sum of two numbers is 81 and their difference is 31. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  7. 7.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  11. 11.One number is 4 times another. Their difference is 78. What is the smaller number?
  12. 12.The sum of two numbers is 58 and their difference is 56. What is the larger number?
  13. 13.One number is 4 times another. Their difference is 15. What is the smaller number?
  14. 14.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?
  15. 15.One number is 6 times another. Their difference is 65. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 39. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 45. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 15. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 64. What is the smaller number?
  20. 20.One number is 6 times another. Their difference is 155. What is the smaller number?
  21. 21.The sum of two numbers is 148 and their difference is 48. What is the larger number?
  22. 22.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  24. 24.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 130. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 60. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  30. 30.One number is 2 times another. Their difference is 3. What is the smaller number?
  31. 31.The sum of two numbers is 132 and their difference is 6. What is the larger number?
  32. 32.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?
  33. 33.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?
  34. 34.One number is 6 times another. Their difference is 160. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 32. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.The sum of 5 consecutive numbers is 250. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 118. What is the smallest of them?

Answer key

  1. 79
  2. 58
  3. 57
  4. 17
  5. 25
  6. 24
  7. 63
  8. 78
  9. 56
  10. 48
  11. 26
  12. 57
  13. 5
  14. 89
  15. 13
  16. 39
  17. 9
  18. 15
  19. 16
  20. 31
  21. 98
  22. 35
  23. 10
  24. 60
  25. 26
  26. 54
  27. 6
  28. 21
  29. 38
  30. 3
  31. 69
  32. 48
  33. 56
  34. 32
  35. 8
  36. 9
  37. 15
  38. 52
  39. 16
  40. 28

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