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.A clock shows 12:11. What time will it show 19 minutes later? (a) 12:40 (b) 1:30 (c) 12:30 (d) 12:20
- 2.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 5.A clock shows 7:40. What time will it show 14 minutes later? (a) 7:44 (b) 8:54 (c) 8:04 (d) 7:54
- 6.A clock shows 2:43. What time will it show 46 minutes later? (a) 4:29 (b) 3:29 (c) 3:39 (d) 3:19
- 7.A clock shows 7:58. What time will it show 170 minutes later? (a) 10:58 (b) 11:48 (c) 10:48 (d) 10:38
- 8.A clock shows 8:05. What time will it show 131 minutes later? (a) 10:06 (b) 10:16 (c) 10:26 (d) 11:16
- 9.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 10.A clock shows 2:31. What time will it show 164 minutes later? (a) 6:15 (b) 5:05 (c) 5:15 (d) 5:25
- 11.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 113 minutes? =
- 14.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
- 17.A clock shows 2:42. What time will it show 111 minutes later? (a) 4:33 (b) 4:43 (c) 5:33 (d) 4:23
- 18.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 19.A clock shows 11:21. What time will it show 21 minutes later? (a) 11:42 (b) 12:42 (c) 11:52 (d) 11:32
- 20.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 22.A clock shows 7:31. What time will it show 42 minutes later? (a) 8:23 (b) 8:03 (c) 8:13 (d) 9:13
- 23.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 24.A clock shows 9:16. What time will it show 111 minutes later? (a) 10:57 (b) 11:07 (c) 11:17 (d) 12:07
- 25.A clock shows 10:17. What time will it show 76 minutes later? (a) 11:23 (b) 12:33 (c) 11:43 (d) 11:33
- 26.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 118 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 32.A clock shows 6:55. What time will it show 84 minutes later? (a) 8:09 (b) 8:29 (c) 8:19 (d) 9:19
- 33.A clock shows 9:01. What time will it show 128 minutes later? (a) 11:19 (b) 10:59 (c) 12:09 (d) 11:09
- 34.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
- 35.A clock shows 7:40. What time will it show 165 minutes later? (a) 11:25 (b) 10:25 (c) 10:15 (d) 10:35
- 36.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 45 minutes? =
Answer key
- 12:30
- 138
- 57
- 77.5
- 7:54
- 3:29
- 10:48
- 10:16
- 22.5
- 5:15
- 63
- 90
- 56.5
- 246
- 48
- 13
- 4:33
- 136.5
- 11:42
- 204
- 103
- 8:13
- 324
- 11:07
- 11:33
- 138.5
- 59
- 74
- 48.5
- 141.5
- 127
- 8:19
- 11:09
- 178
- 10:25
- 115
- 177
- 78
- 30
- 270
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