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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 26 · 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 6:14? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 175 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 85 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  6. 6.A clock shows 6:17. What time will it show 159 minutes later? (a) 8:46 (b) 9:56 (c) 8:56 (d) 9:06
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  8. 8.A clock shows 9:25. What time will it show 141 minutes later? (a) 11:56 (b) 11:46 (c) 11:36 (d) 12:46
  9. 9.How many degrees does the minute hand of a clock turn in 8 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  11. 11.A clock shows 10:18. What time will it show 70 minutes later? (a) 11:18 (b) 11:38 (c) 12:28 (d) 11:28
  12. 12.A clock shows 4:12. What time will it show 84 minutes later? (a) 6:36 (b) 5:36 (c) 5:26 (d) 5:46
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  18. 18.A clock shows 3:13. What time will it show 24 minutes later? (a) 4:37 (b) 3:47 (c) 3:37 (d) 3:27
  19. 19.A clock shows 7:55. What time will it show 49 minutes later? (a) 8:34 (b) 9:44 (c) 8:54 (d) 8:44
  20. 20.A clock shows 9:34. What time will it show 117 minutes later? (a) 11:41 (b) 12:31 (c) 11:21 (d) 11:31
  21. 21.A clock shows 9:25. What time will it show 145 minutes later? (a) 11:40 (b) 12:00 (c) 12:50 (d) 11:50
  22. 22.How many degrees does the minute hand of a clock turn in 31 minutes? =
  23. 23.A clock shows 3:15. What time will it show 117 minutes later? (a) 5:02 (b) 5:12 (c) 6:12 (d) 5:22
  24. 24.A clock shows 7:59. What time will it show 90 minutes later? (a) 9:19 (b) 9:39 (c) 9:29 (d) 10:29
  25. 25.A clock shows 1:58. What time will it show 117 minutes later? (a) 4:55 (b) 3:55 (c) 3:45 (d) 4:05
  26. 26.A clock shows 11:10. What time will it show 132 minutes later? (a) 2:22 (b) 1:12 (c) 1:32 (d) 1:22
  27. 27.How many degrees does the hour hand of a clock turn in 136 minutes? =
  28. 28.A clock shows 11:14. What time will it show 41 minutes later? (a) 12:55 (b) 11:55 (c) 11:45 (d) 12:05
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  30. 30.A clock shows 12:46. What time will it show 166 minutes later? (a) 3:22 (b) 3:42 (c) 3:32 (d) 4:32
  31. 31.How many degrees does the minute hand of a clock turn in 50 minutes? =
  32. 32.A clock shows 6:40. What time will it show 133 minutes later? (a) 9:53 (b) 8:53 (c) 9:03 (d) 8:43
  33. 33.A clock shows 3:38. What time will it show 85 minutes later? (a) 6:03 (b) 4:53 (c) 5:13 (d) 5:03
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  35. 35.A clock shows 1:05. What time will it show 113 minutes later? (a) 3:58 (b) 2:48 (c) 2:58 (d) 3:08
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 133 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  40. 40.A clock shows 12:55. What time will it show 28 minutes later? (a) 1:33 (b) 2:23 (c) 1:23 (d) 1:13

Answer key

  1. 103
  2. 87.5
  3. 140
  4. 42.5
  5. 37
  6. 8:56
  7. 51
  8. 11:46
  9. 48
  10. 30.5
  11. 11:28
  12. 5:36
  13. 114.5
  14. 11
  15. 24
  16. 20.5
  17. 60.5
  18. 3:37
  19. 8:44
  20. 11:31
  21. 11:50
  22. 186
  23. 5:12
  24. 9:29
  25. 3:55
  26. 1:22
  27. 68
  28. 11:55
  29. 165
  30. 3:32
  31. 300
  32. 8:53
  33. 5:03
  34. 180
  35. 2:58
  36. 86.5
  37. 118
  38. 66.5
  39. 31.5
  40. 1:23

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