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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 466 · 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.One number is 6 times another. Their difference is 115. What is the smaller number?
  2. 2.The sum of two numbers is 68 and their difference is 42. What is the larger number?
  3. 3.The sum of two numbers is 124 and their difference is 12. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  10. 10.The sum of two numbers is 50 and their difference is 18. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  12. 12.The sum of two numbers is 42 and their difference is 6. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 85. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 48. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 31. What is the smaller number?
  17. 17.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?
  18. 18.The sum of two numbers is 55 and their difference is 5. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  20. 20.One number is 2 times another. Their difference is 5. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 82. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  23. 23.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?
  24. 24.The digits of a two-digit number add up to 5. 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 171. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  28. 28.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?
  29. 29.One number is 2 times another. Their difference is 26. What is the smaller number?
  30. 30.The sum of two numbers is 43 and their difference is 5. What is the larger number?
  31. 31.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  32. 32.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?
  33. 33.One number is 2 times another. Their difference is 7. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.The sum of two numbers is 65 and their difference is 9. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  37. 37.One number is 6 times another. Their difference is 60. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 260. What is the smallest of them?

Answer key

  1. 23
  2. 55
  3. 56
  4. 70
  5. 56
  6. 32
  7. 11
  8. 17
  9. 86
  10. 16
  11. 37
  12. 18
  13. 19
  14. 44
  15. 24
  16. 31
  17. 47
  18. 25
  19. 43
  20. 5
  21. 22
  22. 30
  23. 79
  24. 14
  25. 55
  26. 25
  27. 79
  28. 18
  29. 26
  30. 24
  31. 35
  32. 35
  33. 7
  34. 16
  35. 28
  36. 28
  37. 12
  38. 63
  39. 41
  40. 50

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