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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 335 · 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 odd numbers is 129. What is the smallest of them?
  2. 2.The sum of two numbers is 16 and their difference is 12. What is the smaller number?
  3. 3.The sum of two numbers is 158 and their difference is 34. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 70. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 80. 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 54. What is the number?
  7. 7.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?
  8. 8.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?
  9. 9.The sum of 4 consecutive numbers is 106. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 5 consecutive numbers is 230. What is the largest of them?
  12. 12.The sum of two numbers is 14 and their difference is 10. What is the larger number?
  13. 13.The sum of two numbers is 89 and their difference is 1. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 30. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 66. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 27. What is the largest of them?
  18. 18.The sum of two numbers is 64 and their difference is 52. What is the smaller number?
  19. 19.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?
  20. 20.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 95. 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 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?
  24. 24.One number is 6 times another. Their difference is 120. What is the smaller number?
  25. 25.The sum of two numbers is 109 and their difference is 15. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  27. 27.One number is 6 times another. Their difference is 75. What is the smaller number?
  28. 28.One number is 4 times another. Their difference is 9. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  30. 30.The sum of two numbers is 154 and their difference is 20. What is the larger number?
  31. 31.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 24. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 70. What is the smaller number?
  35. 35.The sum of two numbers is 140 and their difference is 16. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 42. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 20. What is the smaller number?
  39. 39.The sum of two numbers is 114 and their difference is 64. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 41
  2. 2
  3. 96
  4. 16
  5. 17
  6. 28
  7. 68
  8. 59
  9. 28
  10. 34
  11. 48
  12. 12
  13. 44
  14. 10
  15. 26
  16. 18
  17. 10
  18. 6
  19. 12
  20. 70
  21. 19
  22. 50
  23. 45
  24. 24
  25. 62
  26. 9
  27. 15
  28. 3
  29. 38
  30. 87
  31. 43
  32. 68
  33. 8
  34. 35
  35. 62
  36. 21
  37. 36
  38. 20
  39. 25
  40. 35

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