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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 138 · 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 sum of 5 consecutive numbers is 245. What is the smallest of them?
  2. 2.The sum of two numbers is 128 and their difference is 14. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 105. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 12. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 46. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 82. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.One number is 6 times another. Their difference is 60. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 240. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 63. What is the largest 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 87 and their difference is 9. What is the smaller number?
  16. 16.The sum of two numbers is 21 and their difference is 5. What is the larger number?
  17. 17.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?
  18. 18.The sum of 4 consecutive numbers is 162. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  21. 21.The sum of two numbers is 72 and their difference is 70. What is the smaller number?
  22. 22.The sum of two numbers is 41 and their difference is 27. What is the larger number?
  23. 23.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?
  24. 24.The sum of 4 consecutive numbers is 210. What is the largest of them?
  25. 25.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 48. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  33. 33.The sum of two numbers is 115 and their difference is 19. What is the larger number?
  34. 34.One number is 6 times another. Their difference is 155. What is the smaller number?
  35. 35.The sum of two numbers is 32 and their difference is 12. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 44. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  39. 39.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?
  40. 40.One number is 5 times another. Their difference is 64. What is the smaller number?

Answer key

  1. 47
  2. 57
  3. 35
  4. 3
  5. 13
  6. 22
  7. 27
  8. 22
  9. 77
  10. 13
  11. 12
  12. 50
  13. 22
  14. 78
  15. 39
  16. 13
  17. 24
  18. 42
  19. 46
  20. 50
  21. 1
  22. 34
  23. 56
  24. 54
  25. 18
  26. 79
  27. 45
  28. 25
  29. 24
  30. 12
  31. 59
  32. 59
  33. 67
  34. 31
  35. 10
  36. 42
  37. 22
  38. 60
  39. 68
  40. 16

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