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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 702 · 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 150 and their difference is 20. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 16. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  4. 4.The sum of two numbers is 92 and their difference is 90. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 140. What is the largest of them?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 16. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 159. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  14. 14.The sum of two numbers is 158 and their difference is 10. What is the larger number?
  15. 15.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  21. 21.One number is 3 times another. Their difference is 54. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 30. What is the smaller number?
  24. 24.The sum of two numbers is 32 and their difference is 26. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  29. 29.The sum of two numbers is 105 and their difference is 29. What is the smaller number?
  30. 30.The sum of two numbers is 22 and their difference is 20. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  32. 32.One number is 4 times another. Their difference is 90. What is the smaller number?
  33. 33.The sum of two numbers is 17 and their difference is 3. What is the larger number?
  34. 34.The sum of 4 consecutive numbers is 114. What is the largest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 150 and their difference is 28. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  39. 39.The sum of two numbers is 40 and their difference is 28. What is the smaller number?
  40. 40.The sum of two numbers is 83 and their difference is 27. What is the smaller number?

Answer key

  1. 65
  2. 8
  3. 40
  4. 1
  5. 30
  6. 23
  7. 50
  8. 44
  9. 43
  10. 16
  11. 54
  12. 56
  13. 58
  14. 84
  15. 47
  16. 25
  17. 37
  18. 45
  19. 17
  20. 54
  21. 27
  22. 65
  23. 30
  24. 3
  25. 47
  26. 10
  27. 8
  28. 38
  29. 38
  30. 1
  31. 29
  32. 30
  33. 10
  34. 30
  35. 34
  36. 61
  37. 45
  38. 10
  39. 6
  40. 28

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