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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 210 · 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 3 consecutive numbers is 63. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  3. 3.The sum of two numbers is 12 and their difference is 8. What is the larger number?
  4. 4.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  7. 7.The sum of 4 consecutive numbers is 122. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  10. 10.One number is 4 times another. Their difference is 90. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  12. 12.The sum of two numbers is 55 and their difference is 41. What is the larger number?
  13. 13.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  15. 15.One number is 4 times another. Their difference is 87. What is the smaller number?
  16. 16.The sum of two numbers is 66 and their difference is 30. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  19. 19.The sum of two numbers is 160 and their difference is 22. What is the larger number?
  20. 20.The sum of two numbers is 82 and their difference is 38. What is the smaller number?
  21. 21.One number is 3 times another. Their difference is 42. What is the smaller number?
  22. 22.The sum of two numbers is 83 and their difference is 81. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  25. 25.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 16 and their difference is 10. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 14. What is the smaller number?
  29. 29.One number is 4 times another. Their difference is 93. What is the smaller number?
  30. 30.The sum of two numbers is 117 and their difference is 25. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  32. 32.The sum of two numbers is 47 and their difference is 3. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of two numbers is 31 and their difference is 29. What is the smaller number?
  36. 36.The sum of two numbers is 107 and their difference is 83. What is the larger number?
  37. 37.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.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?
  39. 39.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 214. What is the smallest of them?

Answer key

  1. 20
  2. 27
  3. 10
  4. 47
  5. 54
  6. 19
  7. 32
  8. 45
  9. 69
  10. 30
  11. 80
  12. 48
  13. 23
  14. 25
  15. 29
  16. 18
  17. 59
  18. 22
  19. 91
  20. 22
  21. 21
  22. 1
  23. 11
  24. 49
  25. 62
  26. 56
  27. 3
  28. 7
  29. 31
  30. 46
  31. 37
  32. 25
  33. 32
  34. 13
  35. 1
  36. 95
  37. 26
  38. 89
  39. 28
  40. 52

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