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 12:12? (in degrees) =
- 2.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 3.A clock shows 1:38. What time will it show 170 minutes later? (a) 4:18 (b) 5:28 (c) 4:38 (d) 4:28
- 4.A clock shows 8:17. What time will it show 51 minutes later? (a) 10:08 (b) 9:18 (c) 8:58 (d) 9:08
- 5.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
- 8.A clock shows 8:32. What time will it show 40 minutes later? (a) 9:22 (b) 9:02 (c) 10:12 (d) 9:12
- 9.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 13.A clock shows 10:26. What time will it show 110 minutes later? (a) 12:26 (b) 1:16 (c) 12:16 (d) 12:06
- 14.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
- 15.A clock shows 4:06. What time will it show 15 minutes later? (a) 5:21 (b) 4:31 (c) 4:21 (d) 4:11
- 16.A clock shows 8:12. What time will it show 23 minutes later? (a) 8:25 (b) 9:35 (c) 8:35 (d) 8:45
- 17.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 19.A clock shows 3:56. What time will it show 55 minutes later? (a) 4:41 (b) 5:01 (c) 5:51 (d) 4:51
- 20.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 21.A clock shows 1:05. What time will it show 14 minutes later? (a) 1:19 (b) 1:09 (c) 2:19 (d) 1:29
- 22.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 138 minutes? =
- 29.A clock shows 7:45. What time will it show 52 minutes later? (a) 8:27 (b) 8:47 (c) 8:37 (d) 9:37
- 30.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 36.A clock shows 10:59. What time will it show 43 minutes later? (a) 11:42 (b) 11:32 (c) 12:42 (d) 11:52
- 37.A clock shows 10:05. What time will it show 27 minutes later? (a) 10:32 (b) 11:32 (c) 10:22 (d) 10:42
- 38.A clock shows 9:48. What time will it show 69 minutes later? (a) 11:07 (b) 11:57 (c) 10:47 (d) 10:57
- 39.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
- 40.A clock shows 9:12. What time will it show 128 minutes later? (a) 12:20 (b) 11:10 (c) 11:30 (d) 11:20
Answer key
- 66
- 26
- 4:28
- 9:08
- 11
- 22.5
- 2.5
- 9:12
- 146
- 276
- 41
- 19.5
- 12:16
- 172
- 4:21
- 8:35
- 71
- 34
- 4:51
- 168
- 1:19
- 348
- 77
- 42
- 144.5
- 5.5
- 87.5
- 69
- 8:37
- 18
- 47
- 26.5
- 178
- 135.5
- 22.5
- 11:42
- 10:32
- 10:57
- 78.5
- 11:20
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