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 5:11. What time will it show 135 minutes later? (a) 8:26 (b) 7:36 (c) 7:26 (d) 7:16
- 2.How many degrees does the hour hand of a clock turn in 151 minutes? =
- 3.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 5.A clock shows 4:45. What time will it show 166 minutes later? (a) 7:21 (b) 7:31 (c) 7:41 (d) 8:31
- 6.A clock shows 5:56. What time will it show 97 minutes later? (a) 7:23 (b) 7:43 (c) 8:33 (d) 7:33
- 7.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 120 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
- 21.A clock shows 4:52. What time will it show 128 minutes later? (a) 6:50 (b) 7:10 (c) 8:00 (d) 7:00
- 22.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
- 27.A clock shows 5:41. What time will it show 26 minutes later? (a) 6:17 (b) 6:07 (c) 5:57 (d) 7:07
- 28.A clock shows 9:17. What time will it show 97 minutes later? (a) 11:54 (b) 10:44 (c) 10:54 (d) 11:04
- 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
- 31.A clock shows 2:28. What time will it show 134 minutes later? (a) 4:42 (b) 5:42 (c) 4:52 (d) 4:32
- 32.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
- 34.A clock shows 2:21. What time will it show 167 minutes later? (a) 6:08 (b) 5:18 (c) 4:58 (d) 5:08
- 35.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
Answer key
- 7:26
- 75.5
- 66
- 129.5
- 7:31
- 7:33
- 140.5
- 151
- 43
- 134
- 48.5
- 40
- 131
- 149
- 60
- 155.5
- 134.5
- 127
- 162.5
- 176.5
- 7:00
- 119
- 39
- 54
- 103
- 109.5
- 6:07
- 10:54
- 126
- 126.5
- 4:42
- 5.5
- 179.5
- 5:08
- 198
- 23.5
- 36
- 117.5
- 180
- 161
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