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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 81 · 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 two numbers is 42 and their difference is 36. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 32. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  5. 5.The sum of two numbers is 58 and their difference is 30. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  7. 7.The sum of two numbers is 94 and their difference is 14. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 31. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 12. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 135. What is the largest of them?
  14. 14.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?
  15. 15.One number is 6 times another. Their difference is 35. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  19. 19.The sum of two numbers is 39 and their difference is 27. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  21. 21.The sum of two numbers is 29 and their difference is 27. What is the larger number?
  22. 22.One number is 5 times another. Their difference is 124. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 108. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  26. 26.One number is 6 times another. Their difference is 85. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 94. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 270. What is the largest of them?
  29. 29.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?
  30. 30.One number is 2 times another. Their difference is 36. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 7. What is the smaller number?
  32. 32.The sum of two numbers is 28 and their difference is 26. What is the smaller number?
  33. 33.The sum of two numbers is 26 and their difference is 20. What is the smaller number?
  34. 34.The sum of two numbers is 137 and their difference is 13. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 46. What is the largest of them?
  39. 39.One number is 3 times another. Their difference is 48. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 40. What is the smaller number?

Answer key

  1. 39
  2. 16
  3. 38
  4. 17
  5. 14
  6. 49
  7. 40
  8. 21
  9. 28
  10. 31
  11. 4
  12. 56
  13. 29
  14. 27
  15. 7
  16. 57
  17. 78
  18. 42
  19. 6
  20. 43
  21. 28
  22. 31
  23. 27
  24. 58
  25. 37
  26. 17
  27. 25
  28. 56
  29. 89
  30. 36
  31. 7
  32. 1
  33. 3
  34. 62
  35. 14
  36. 12
  37. 47
  38. 13
  39. 24
  40. 40

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