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 hour hand of a clock turn in 111 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
- 7.A clock shows 12:05. What time will it show 22 minutes later? (a) 1:27 (b) 12:27 (c) 12:17 (d) 12:37
- 8.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 82 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
- 14.A clock shows 5:03. What time will it show 64 minutes later? (a) 5:57 (b) 7:07 (c) 6:17 (d) 6:07
- 15.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 17.A clock shows 3:16. What time will it show 149 minutes later? (a) 5:45 (b) 5:55 (c) 5:35 (d) 6:45
- 18.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 20.A clock shows 7:09. What time will it show 60 minutes later? (a) 8:09 (b) 8:19 (c) 9:09 (d) 7:59
- 21.A clock shows 10:11. What time will it show 71 minutes later? (a) 11:32 (b) 12:22 (c) 11:22 (d) 11:12
- 22.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 26.A clock shows 4:01. What time will it show 78 minutes later? (a) 5:09 (b) 6:19 (c) 5:29 (d) 5:19
- 27.A clock shows 12:11. What time will it show 87 minutes later? (a) 1:28 (b) 1:38 (c) 1:48 (d) 2:38
- 28.A clock shows 4:57. What time will it show 147 minutes later? (a) 7:24 (b) 8:24 (c) 7:34 (d) 7:14
- 29.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 32.A clock shows 5:58. What time will it show 38 minutes later? (a) 6:36 (b) 6:26 (c) 7:36 (d) 6:46
- 33.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 36.A clock shows 4:43. What time will it show 25 minutes later? (a) 5:18 (b) 4:58 (c) 5:08 (d) 6:08
- 37.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 38.A clock shows 9:12. What time will it show 84 minutes later? (a) 10:36 (b) 10:46 (c) 10:26 (d) 11:36
- 39.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
Answer key
- 55.5
- 177.5
- 7
- 282
- 42
- 132.5
- 12:27
- 113
- 276
- 96.5
- 41
- 173.5
- 117.5
- 6:07
- 99.5
- 30
- 5:45
- 186
- 18
- 8:09
- 11:22
- 167.5
- 61
- 166
- 300
- 5:19
- 1:38
- 7:24
- 66.5
- 99
- 78.5
- 6:36
- 0.5
- 161
- 204
- 5:08
- 174
- 10:36
- 157
- 60.5
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