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 8:44? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
- 4.A clock shows 7:16. What time will it show 101 minutes later? (a) 9:07 (b) 8:47 (c) 8:57 (d) 9:57
- 5.A clock shows 12:25. What time will it show 76 minutes later? (a) 1:41 (b) 1:31 (c) 1:51 (d) 2:41
- 6.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 165 minutes? =
- 8.A clock shows 1:07. What time will it show 28 minutes later? (a) 1:25 (b) 1:45 (c) 2:35 (d) 1:35
- 9.A clock shows 12:18. What time will it show 50 minutes later? (a) 2:08 (b) 12:58 (c) 1:18 (d) 1:08
- 10.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 13.A clock shows 6:58. What time will it show 42 minutes later? (a) 7:40 (b) 8:40 (c) 7:30 (d) 7:50
- 14.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 15.A clock shows 1:04. What time will it show 113 minutes later? (a) 3:07 (b) 2:57 (c) 3:57 (d) 2:47
- 16.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 19.A clock shows 9:56. What time will it show 98 minutes later? (a) 11:34 (b) 11:44 (c) 12:34 (d) 11:24
- 20.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
- 23.A clock shows 9:44. What time will it show 40 minutes later? (a) 10:14 (b) 11:24 (c) 10:24 (d) 10:34
- 24.A clock shows 7:05. What time will it show 130 minutes later? (a) 9:25 (b) 9:15 (c) 10:15 (d) 9:05
- 25.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
- 27.A clock shows 2:42. What time will it show 95 minutes later? (a) 4:07 (b) 5:17 (c) 4:27 (d) 4:17
- 28.A clock shows 3:44. What time will it show 78 minutes later? (a) 6:02 (b) 4:52 (c) 5:12 (d) 5:02
- 29.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 176 minutes? =
- 32.A clock shows 12:31. What time will it show 38 minutes later? (a) 1:19 (b) 12:59 (c) 1:09 (d) 2:09
- 33.A clock shows 3:25. What time will it show 89 minutes later? (a) 5:04 (b) 4:44 (c) 4:54 (d) 5:54
- 34.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
- 35.A clock shows 1:08. What time will it show 165 minutes later? (a) 3:43 (b) 3:53 (c) 4:53 (d) 4:03
- 36.A clock shows 6:07. What time will it show 16 minutes later? (a) 6:33 (b) 6:13 (c) 6:23 (d) 7:23
- 37.A clock shows 4:30. What time will it show 166 minutes later? (a) 8:16 (b) 7:26 (c) 7:06 (d) 7:16
- 38.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 39.A clock shows 3:10. What time will it show 26 minutes later? (a) 3:46 (b) 3:36 (c) 3:26 (d) 4:36
- 40.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
Answer key
- 2
- 9
- 169
- 8:57
- 1:41
- 52
- 82.5
- 1:35
- 1:08
- 36
- 228
- 57.5
- 7:40
- 97
- 2:57
- 70.5
- 65
- 89
- 11:34
- 12
- 174
- 75
- 10:24
- 9:15
- 90
- 21.5
- 4:17
- 5:02
- 81.5
- 119
- 88
- 1:09
- 4:54
- 77
- 3:53
- 6:23
- 7:16
- 173
- 3:36
- 143
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