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.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 2.A clock shows 2:30. What time will it show 76 minutes later? (a) 3:56 (b) 3:36 (c) 3:46 (d) 4:46
- 3.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 13 minutes? =
- 5.A clock shows 7:07. What time will it show 76 minutes later? (a) 8:13 (b) 8:23 (c) 8:33 (d) 9:23
- 6.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 12.A clock shows 12:15. What time will it show 168 minutes later? (a) 2:53 (b) 3:13 (c) 3:03 (d) 4:03
- 13.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 16.A clock shows 6:34. What time will it show 100 minutes later? (a) 8:14 (b) 8:24 (c) 9:14 (d) 8:04
- 17.A clock shows 6:24. What time will it show 138 minutes later? (a) 9:42 (b) 8:52 (c) 8:42 (d) 8:32
- 18.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 20.A clock shows 5:10. What time will it show 29 minutes later? (a) 6:39 (b) 5:49 (c) 5:29 (d) 5:39
- 21.A clock shows 2:18. What time will it show 155 minutes later? (a) 4:53 (b) 5:03 (c) 4:43 (d) 5:53
- 22.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 26.A clock shows 9:55. What time will it show 36 minutes later? (a) 10:21 (b) 10:31 (c) 11:31 (d) 10:41
- 27.A clock shows 12:24. What time will it show 151 minutes later? (a) 2:55 (b) 2:45 (c) 3:05 (d) 3:55
- 28.How many degrees does the hour hand of a clock turn in 136 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
- 30.A clock shows 11:48. What time will it show 38 minutes later? (a) 1:26 (b) 12:26 (c) 12:36 (d) 12:16
- 31.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 176 minutes? =
- 35.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 40.How many degrees does the minute hand of a clock turn in 28 minutes? =
Answer key
- 336
- 3:46
- 167.5
- 6.5
- 8:23
- 179
- 138
- 348
- 16
- 66
- 75
- 3:03
- 24.5
- 158
- 65
- 8:14
- 8:42
- 150
- 114.5
- 5:39
- 4:53
- 117
- 222
- 114
- 162.5
- 10:31
- 2:55
- 68
- 22.5
- 12:26
- 102
- 147.5
- 97
- 88
- 204
- 8.5
- 166
- 152
- 312
- 168
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