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 5:00? (in degrees) =
- 2.A clock shows 6:34. What time will it show 55 minutes later? (a) 8:29 (b) 7:29 (c) 7:39 (d) 7:19
- 3.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 4.A clock shows 8:02. What time will it show 166 minutes later? (a) 10:58 (b) 10:48 (c) 11:48 (d) 10:38
- 5.A clock shows 9:05. What time will it show 59 minutes later? (a) 9:54 (b) 10:14 (c) 11:04 (d) 10:04
- 6.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 7.A clock shows 8:32. What time will it show 11 minutes later? (a) 8:33 (b) 9:43 (c) 8:43 (d) 8:53
- 8.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 174 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
- 16.A clock shows 11:21. What time will it show 27 minutes later? (a) 11:58 (b) 11:48 (c) 11:38 (d) 12:48
- 17.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
- 20.A clock shows 3:45. What time will it show 16 minutes later? (a) 4:11 (b) 3:51 (c) 5:01 (d) 4:01
- 21.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 24.A clock shows 5:25. What time will it show 37 minutes later? (a) 5:52 (b) 6:12 (c) 6:02 (d) 7:02
- 25.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 27.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 28.A clock shows 9:43. What time will it show 58 minutes later? (a) 10:51 (b) 10:31 (c) 10:41 (d) 11:41
- 29.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 30.A clock shows 7:23. What time will it show 17 minutes later? (a) 7:40 (b) 8:40 (c) 7:50 (d) 7:30
- 31.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 32.A clock shows 8:02. What time will it show 160 minutes later? (a) 11:42 (b) 10:32 (c) 10:42 (d) 10:52
- 33.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 104 minutes? =
- 37.A clock shows 9:53. What time will it show 157 minutes later? (a) 12:20 (b) 12:40 (c) 1:30 (d) 12:30
- 38.A clock shows 9:06. What time will it show 97 minutes later? (a) 10:33 (b) 10:43 (c) 11:43 (d) 10:53
- 39.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 129 minutes? =
Answer key
- 150
- 7:29
- 45.5
- 10:48
- 10:04
- 19
- 8:43
- 91
- 2
- 11
- 17
- 87
- 16.5
- 96
- 143
- 11:48
- 18
- 32.5
- 139
- 4:01
- 36
- 139.5
- 330
- 6:02
- 82
- 60
- 258
- 10:41
- 94
- 7:40
- 141
- 10:42
- 147.5
- 29.5
- 46
- 52
- 12:30
- 10:43
- 53
- 64.5
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