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 78 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 4.A clock shows 1:35. What time will it show 33 minutes later? (a) 3:08 (b) 2:08 (c) 1:58 (d) 2:18
- 5.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 145 minutes? =
- 8.A clock shows 11:08. What time will it show 58 minutes later? (a) 11:56 (b) 1:06 (c) 12:06 (d) 12:16
- 9.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 11.A clock shows 12:13. What time will it show 38 minutes later? (a) 1:51 (b) 12:41 (c) 12:51 (d) 1:01
- 12.A clock shows 10:18. What time will it show 70 minutes later? (a) 11:18 (b) 12:28 (c) 11:28 (d) 11:38
- 13.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 14.A clock shows 2:51. What time will it show 125 minutes later? (a) 4:46 (b) 4:56 (c) 5:56 (d) 5:06
- 15.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 113 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
- 24.A clock shows 11:09. What time will it show 54 minutes later? (a) 11:53 (b) 12:13 (c) 12:03 (d) 1:03
- 25.A clock shows 12:23. What time will it show 139 minutes later? (a) 2:32 (b) 3:42 (c) 2:42 (d) 2:52
- 26.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 34.A clock shows 7:01. What time will it show 40 minutes later? (a) 7:31 (b) 8:41 (c) 7:51 (d) 7:41
- 35.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
- 36.A clock shows 12:15. What time will it show 126 minutes later? (a) 2:31 (b) 2:11 (c) 2:21 (d) 3:21
- 37.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 38.A clock shows 1:01. What time will it show 94 minutes later? (a) 3:35 (b) 2:25 (c) 2:35 (d) 2:45
- 39.A clock shows 12:20. What time will it show 35 minutes later? (a) 12:45 (b) 12:55 (c) 1:55 (d) 1:05
- 40.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
Answer key
- 39
- 29.5
- 122
- 2:08
- 53
- 10
- 72.5
- 12:06
- 157
- 78.5
- 12:51
- 11:28
- 37.5
- 4:56
- 169
- 40.5
- 80
- 65
- 134.5
- 66
- 48.5
- 56.5
- 14.5
- 12:03
- 2:42
- 120
- 27
- 152
- 13.5
- 258
- 143
- 149.5
- 270
- 7:41
- 90.5
- 2:21
- 336
- 2:35
- 12:55
- 57.5
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