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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 715 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the minute hand of a clock turn in 37 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 24 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  6. 6.A clock shows 2:10. What time will it show 41 minutes later? (a) 2:41 (b) 2:51 (c) 3:51 (d) 3:01
  7. 7.A clock shows 9:07. What time will it show 41 minutes later? (a) 9:48 (b) 10:48 (c) 9:38 (d) 9:58
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 140 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  12. 12.A clock shows 5:07. What time will it show 133 minutes later? (a) 8:20 (b) 7:10 (c) 7:30 (d) 7:20
  13. 13.How many degrees does the hour hand of a clock turn in 145 minutes? =
  14. 14.A clock shows 9:53. What time will it show 87 minutes later? (a) 12:20 (b) 11:30 (c) 11:10 (d) 11:20
  15. 15.A clock shows 2:44. What time will it show 39 minutes later? (a) 3:13 (b) 4:23 (c) 3:23 (d) 3:33
  16. 16.A clock shows 4:43. What time will it show 29 minutes later? (a) 5:22 (b) 5:02 (c) 6:12 (d) 5:12
  17. 17.A clock shows 2:28. What time will it show 164 minutes later? (a) 5:12 (b) 5:22 (c) 5:02 (d) 6:12
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  19. 19.A clock shows 4:35. What time will it show 108 minutes later? (a) 6:13 (b) 6:33 (c) 7:23 (d) 6:23
  20. 20.How many degrees does the hour hand of a clock turn in 14 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 107 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 21 minutes? =
  23. 23.A clock shows 2:26. What time will it show 158 minutes later? (a) 6:04 (b) 4:54 (c) 5:14 (d) 5:04
  24. 24.A clock shows 11:44. What time will it show 120 minutes later? (a) 2:44 (b) 1:54 (c) 1:44 (d) 1:34
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  27. 27.A clock shows 1:29. What time will it show 56 minutes later? (a) 2:25 (b) 3:25 (c) 2:15 (d) 2:35
  28. 28.A clock shows 3:14. What time will it show 35 minutes later? (a) 3:59 (b) 3:39 (c) 4:49 (d) 3:49
  29. 29.A clock shows 12:09. What time will it show 153 minutes later? (a) 2:52 (b) 2:32 (c) 2:42 (d) 3:42
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  31. 31.A clock shows 12:58. What time will it show 119 minutes later? (a) 3:07 (b) 2:47 (c) 2:57 (d) 3:57
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 54 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 109 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  39. 39.A clock shows 1:35. What time will it show 29 minutes later? (a) 2:14 (b) 3:04 (c) 2:04 (d) 1:54
  40. 40.A clock shows 1:44. What time will it show 87 minutes later? (a) 3:11 (b) 3:01 (c) 4:11 (d) 3:21

Answer key

  1. 222
  2. 64.5
  3. 120.5
  4. 12
  5. 22
  6. 2:51
  7. 9:48
  8. 172
  9. 177
  10. 70
  11. 104.5
  12. 7:20
  13. 72.5
  14. 11:20
  15. 3:23
  16. 5:12
  17. 5:12
  18. 33.5
  19. 6:23
  20. 7
  21. 53.5
  22. 126
  23. 5:04
  24. 1:44
  25. 119.5
  26. 179.5
  27. 2:25
  28. 3:49
  29. 2:42
  30. 66
  31. 2:57
  32. 58.5
  33. 129.5
  34. 324
  35. 54.5
  36. 89
  37. 118
  38. 32.5
  39. 2:04
  40. 3:11

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