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 minute hand of a clock turn in 28 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 4.A clock shows 4:17. What time will it show 161 minutes later? (a) 7:08 (b) 6:58 (c) 6:48 (d) 7:58
- 5.A clock shows 10:30. What time will it show 31 minutes later? (a) 11:01 (b) 11:11 (c) 10:51 (d) 12:01
- 6.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 77 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 14.A clock shows 5:04. What time will it show 21 minutes later? (a) 6:25 (b) 5:35 (c) 5:15 (d) 5:25
- 15.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
- 17.A clock shows 9:13. What time will it show 88 minutes later? (a) 10:31 (b) 11:41 (c) 10:51 (d) 10:41
- 18.A clock shows 12:21. What time will it show 32 minutes later? (a) 1:53 (b) 12:43 (c) 12:53 (d) 1:03
- 19.A clock shows 10:31. What time will it show 25 minutes later? (a) 11:56 (b) 11:06 (c) 10:46 (d) 10:56
- 20.A clock shows 10:20. What time will it show 91 minutes later? (a) 11:41 (b) 12:01 (c) 11:51 (d) 12:51
- 21.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 22.A clock shows 12:09. What time will it show 150 minutes later? (a) 2:29 (b) 3:39 (c) 2:49 (d) 2:39
- 23.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 29.A clock shows 2:41. What time will it show 122 minutes later? (a) 4:53 (b) 5:43 (c) 4:33 (d) 4:43
- 30.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 31.A clock shows 1:18. What time will it show 32 minutes later? (a) 2:00 (b) 2:50 (c) 1:50 (d) 1:40
- 32.A clock shows 8:02. What time will it show 93 minutes later? (a) 9:35 (b) 9:45 (c) 9:25 (d) 10:35
- 33.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 34.A clock shows 7:00. What time will it show 117 minutes later? (a) 9:57 (b) 8:57 (c) 9:07 (d) 8:47
- 35.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
- 36.A clock shows 8:03. What time will it show 33 minutes later? (a) 8:36 (b) 8:26 (c) 8:46 (d) 9:36
- 37.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 38.A clock shows 1:41. What time will it show 28 minutes later? (a) 1:59 (b) 3:09 (c) 2:19 (d) 2:09
- 39.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
- 40.A clock shows 6:33. What time will it show 66 minutes later? (a) 7:29 (b) 8:39 (c) 7:49 (d) 7:39
Answer key
- 168
- 102.5
- 27
- 6:58
- 11:01
- 28
- 71
- 52
- 0
- 148
- 38.5
- 156.5
- 174
- 5:25
- 163
- 86.5
- 10:41
- 12:53
- 10:56
- 11:51
- 270
- 2:39
- 44.5
- 134.5
- 30
- 163
- 31
- 87.5
- 4:43
- 34.5
- 1:50
- 9:35
- 72
- 8:57
- 123
- 8:36
- 198
- 2:09
- 18.5
- 7:39
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