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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 545 · 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.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  2. 2.A clock shows 12:14. What time will it show 103 minutes later? (a) 1:57 (b) 1:47 (c) 2:07 (d) 2:57
  3. 3.A clock shows 5:12. What time will it show 87 minutes later? (a) 6:29 (b) 6:39 (c) 6:49 (d) 7:39
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 53 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 116 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 63 minutes? =
  11. 11.A clock shows 5:03. What time will it show 121 minutes later? (a) 8:04 (b) 6:54 (c) 7:04 (d) 7:14
  12. 12.A clock shows 2:57. What time will it show 157 minutes later? (a) 5:24 (b) 5:44 (c) 6:34 (d) 5:34
  13. 13.A clock shows 2:51. What time will it show 57 minutes later? (a) 3:58 (b) 4:48 (c) 3:38 (d) 3:48
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  15. 15.A clock shows 3:49. What time will it show 14 minutes later? (a) 5:03 (b) 4:13 (c) 4:03 (d) 3:53
  16. 16.How many degrees does the minute hand of a clock turn in 52 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  20. 20.A clock shows 5:24. What time will it show 86 minutes later? (a) 7:50 (b) 6:50 (c) 6:40 (d) 7:00
  21. 21.A clock shows 2:33. What time will it show 75 minutes later? (a) 4:48 (b) 3:48 (c) 3:38 (d) 3:58
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  24. 24.A clock shows 3:27. What time will it show 63 minutes later? (a) 5:30 (b) 4:30 (c) 4:20 (d) 4:40
  25. 25.A clock shows 8:03. What time will it show 69 minutes later? (a) 10:12 (b) 9:22 (c) 9:02 (d) 9:12
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  27. 27.A clock shows 5:03. What time will it show 128 minutes later? (a) 7:21 (b) 8:11 (c) 7:11 (d) 7:01
  28. 28.A clock shows 3:41. What time will it show 34 minutes later? (a) 4:15 (b) 4:05 (c) 4:25 (d) 5:15
  29. 29.A clock shows 5:00. What time will it show 61 minutes later? (a) 6:11 (b) 7:01 (c) 6:01 (d) 5:51
  30. 30.How many degrees does the minute hand of a clock turn in 28 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  32. 32.A clock shows 4:35. What time will it show 28 minutes later? (a) 5:13 (b) 5:03 (c) 4:53 (d) 6:03
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 20 minutes? =
  36. 36.A clock shows 6:59. What time will it show 102 minutes later? (a) 8:51 (b) 9:41 (c) 8:31 (d) 8:41
  37. 37.A clock shows 9:06. What time will it show 49 minutes later? (a) 9:55 (b) 10:05 (c) 9:45 (d) 10:55
  38. 38.How many degrees does the minute hand of a clock turn in 51 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  40. 40.A clock shows 2:36. What time will it show 87 minutes later? (a) 4:03 (b) 5:03 (c) 3:53 (d) 4:13

Answer key

  1. 0
  2. 1:57
  3. 6:39
  4. 28.5
  5. 109.5
  6. 51
  7. 44
  8. 318
  9. 58
  10. 31.5
  11. 7:04
  12. 5:34
  13. 3:48
  14. 114
  15. 4:03
  16. 312
  17. 11.5
  18. 222
  19. 129
  20. 6:50
  21. 3:48
  22. 153
  23. 156
  24. 4:30
  25. 9:12
  26. 96.5
  27. 7:11
  28. 4:15
  29. 6:01
  30. 168
  31. 107.5
  32. 5:03
  33. 154.5
  34. 155
  35. 120
  36. 8:41
  37. 9:55
  38. 306
  39. 100.5
  40. 4:03

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