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 5:24? (in degrees) =
- 2.A clock shows 6:46. What time will it show 53 minutes later? (a) 7:29 (b) 8:39 (c) 7:49 (d) 7:39
- 3.A clock shows 7:15. What time will it show 17 minutes later? (a) 7:42 (b) 7:22 (c) 7:32 (d) 8:32
- 4.A clock shows 7:01. What time will it show 132 minutes later? (a) 9:23 (b) 9:13 (c) 10:13 (d) 9:03
- 5.A clock shows 12:26. What time will it show 140 minutes later? (a) 2:56 (b) 2:36 (c) 3:46 (d) 2:46
- 6.A clock shows 11:34. What time will it show 42 minutes later? (a) 12:26 (b) 12:16 (c) 1:16 (d) 12:06
- 7.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 8.A clock shows 9:15. What time will it show 136 minutes later? (a) 11:31 (b) 12:31 (c) 11:21 (d) 11:41
- 9.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 20.A clock shows 6:56. What time will it show 69 minutes later? (a) 8:15 (b) 8:05 (c) 9:05 (d) 7:55
- 21.How many degrees does the hour hand of a clock turn in 104 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 24.A clock shows 11:53. What time will it show 132 minutes later? (a) 1:55 (b) 2:05 (c) 2:15 (d) 3:05
- 25.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 27.A clock shows 3:07. What time will it show 139 minutes later? (a) 5:16 (b) 5:36 (c) 6:26 (d) 5:26
- 28.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 32.A clock shows 6:56. What time will it show 12 minutes later? (a) 7:18 (b) 8:08 (c) 7:08 (d) 6:58
- 33.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 35.A clock shows 1:57. What time will it show 105 minutes later? (a) 4:42 (b) 3:42 (c) 3:52 (d) 3:32
- 36.A clock shows 2:05. What time will it show 155 minutes later? (a) 4:30 (b) 5:40 (c) 4:40 (d) 4:50
- 37.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
Answer key
- 18
- 7:39
- 7:32
- 9:13
- 2:46
- 12:16
- 76.5
- 11:31
- 48
- 94.5
- 98.5
- 18
- 45.5
- 44.5
- 131
- 216
- 27.5
- 18
- 204
- 8:05
- 52
- 240
- 10
- 2:05
- 59.5
- 72
- 5:26
- 40
- 167.5
- 42
- 53
- 7:08
- 104
- 330
- 3:42
- 4:40
- 47
- 114
- 64
- 44.5
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