Clock Reasoning Worksheet
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.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
- 2.A clock shows 2:35. What time will it show 31 minutes later? (a) 3:16 (b) 2:56 (c) 4:06 (d) 3:06
- 3.How many degrees does the hour hand of a clock turn in 113 minutes? =
- 4.A clock shows 3:56. What time will it show 87 minutes later? (a) 5:13 (b) 6:23 (c) 5:33 (d) 5:23
- 5.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
- 6.A clock shows 10:45. What time will it show 154 minutes later? (a) 1:19 (b) 1:29 (c) 2:19 (d) 1:09
- 7.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
- 8.A clock shows 3:52. What time will it show 125 minutes later? (a) 5:57 (b) 6:07 (c) 5:47 (d) 6:57
- 9.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 10.A clock shows 10:04. What time will it show 166 minutes later? (a) 1:50 (b) 12:50 (c) 1:00 (d) 12:40
- 11.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 12.A clock shows 4:26. What time will it show 130 minutes later? (a) 6:46 (b) 6:36 (c) 7:36 (d) 6:26
- 13.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 14.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 16.A clock shows 7:26. What time will it show 12 minutes later? (a) 7:48 (b) 8:38 (c) 7:38 (d) 7:28
- 17.A clock shows 1:04. What time will it show 125 minutes later? (a) 3:19 (b) 3:09 (c) 4:09 (d) 2:59
- 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
- 20.A clock shows 8:08. What time will it show 26 minutes later? (a) 8:24 (b) 8:34 (c) 8:44 (d) 9:34
- 21.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 22.A clock shows 2:23. What time will it show 99 minutes later? (a) 4:02 (b) 3:52 (c) 4:12 (d) 5:02
- 23.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
- 27.A clock shows 4:18. What time will it show 45 minutes later? (a) 5:13 (b) 5:03 (c) 6:03 (d) 4:53
- 28.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 33.A clock shows 2:31. What time will it show 13 minutes later? (a) 2:34 (b) 2:44 (c) 3:44 (d) 2:54
- 34.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 36.A clock shows 3:09. What time will it show 67 minutes later? (a) 4:06 (b) 4:26 (c) 4:16 (d) 5:16
- 37.A clock shows 8:02. What time will it show 55 minutes later? (a) 9:07 (b) 8:47 (c) 9:57 (d) 8:57
- 38.A clock shows 10:19. What time will it show 40 minutes later? (a) 11:09 (b) 11:59 (c) 10:49 (d) 10:59
- 39.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
Answer key
- 119.5
- 3:06
- 56.5
- 5:23
- 149.5
- 1:19
- 141.5
- 5:57
- 141
- 12:50
- 186
- 6:36
- 318
- 348
- 173.5
- 7:38
- 3:09
- 222
- 115.5
- 8:34
- 354
- 4:02
- 16.5
- 39.5
- 114.5
- 53
- 5:03
- 24
- 65
- 169
- 136
- 26
- 2:44
- 59.5
- 87.5
- 4:16
- 8:57
- 10:59
- 52.5
- 73.5
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