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 4:49? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 4.A clock shows 2:57. What time will it show 101 minutes later? (a) 4:38 (b) 5:38 (c) 4:48 (d) 4:28
- 5.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
- 6.A clock shows 9:23. What time will it show 42 minutes later? (a) 9:55 (b) 11:05 (c) 10:15 (d) 10:05
- 7.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
- 11.A clock shows 1:08. What time will it show 163 minutes later? (a) 4:01 (b) 3:51 (c) 4:51 (d) 3:41
- 12.A clock shows 5:14. What time will it show 114 minutes later? (a) 6:58 (b) 7:08 (c) 8:08 (d) 7:18
- 13.A clock shows 6:06. What time will it show 15 minutes later? (a) 7:21 (b) 6:31 (c) 6:21 (d) 6:11
- 14.A clock shows 12:54. What time will it show 63 minutes later? (a) 2:57 (b) 1:57 (c) 2:07 (d) 1:47
- 15.A clock shows 2:08. What time will it show 101 minutes later? (a) 3:59 (b) 4:49 (c) 3:39 (d) 3:49
- 16.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 17.A clock shows 3:20. What time will it show 23 minutes later? (a) 3:53 (b) 3:43 (c) 3:33 (d) 4:43
- 18.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
- 19.A clock shows 10:06. What time will it show 89 minutes later? (a) 11:45 (b) 11:35 (c) 12:35 (d) 11:25
- 20.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 21.A clock shows 8:29. What time will it show 69 minutes later? (a) 9:48 (b) 9:28 (c) 10:38 (d) 9:38
- 22.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 26.A clock shows 5:23. What time will it show 158 minutes later? (a) 7:51 (b) 9:01 (c) 8:11 (d) 8:01
- 27.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 32.A clock shows 5:38. What time will it show 88 minutes later? (a) 6:56 (b) 7:06 (c) 7:16 (d) 8:06
- 33.A clock shows 12:55. What time will it show 99 minutes later? (a) 2:44 (b) 3:34 (c) 2:24 (d) 2:34
- 34.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
- 37.A clock shows 12:26. What time will it show 98 minutes later? (a) 1:54 (b) 2:04 (c) 3:04 (d) 2:14
- 38.How many degrees does the hour hand of a clock turn in 131 minutes? =
- 39.A clock shows 8:48. What time will it show 44 minutes later? (a) 10:32 (b) 9:32 (c) 9:22 (d) 9:42
- 40.How many degrees does the hour hand of a clock turn in 127 minutes? =
Answer key
- 149.5
- 18
- 113.5
- 4:38
- 71.5
- 10:05
- 21.5
- 98
- 159.5
- 84.5
- 3:51
- 7:08
- 6:21
- 1:57
- 3:49
- 324
- 3:43
- 160
- 11:35
- 66.5
- 9:38
- 62.5
- 51.5
- 126
- 318
- 8:01
- 25
- 13.5
- 37
- 264
- 57
- 7:06
- 2:34
- 44.5
- 110
- 52.5
- 2:04
- 65.5
- 9:32
- 63.5
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