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 33 minutes? =
- 2.A clock shows 1:51. What time will it show 156 minutes later? (a) 5:27 (b) 4:27 (c) 4:37 (d) 4:17
- 3.A clock shows 10:36. What time will it show 154 minutes later? (a) 1:10 (b) 1:20 (c) 2:10 (d) 1:00
- 4.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 8.A clock shows 2:37. What time will it show 170 minutes later? (a) 6:27 (b) 5:37 (c) 5:27 (d) 5:17
- 9.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 62 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 145 minutes? =
- 15.A clock shows 3:28. What time will it show 24 minutes later? (a) 4:02 (b) 3:52 (c) 4:52 (d) 3:42
- 16.A clock shows 3:07. What time will it show 146 minutes later? (a) 5:43 (b) 5:33 (c) 6:33 (d) 5:23
- 17.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
- 18.A clock shows 12:39. What time will it show 83 minutes later? (a) 3:02 (b) 2:02 (c) 2:12 (d) 1:52
- 19.A clock shows 7:00. What time will it show 124 minutes later? (a) 9:14 (b) 8:54 (c) 9:04 (d) 10:04
- 20.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
- 22.A clock shows 9:10. What time will it show 135 minutes later? (a) 12:25 (b) 11:35 (c) 11:15 (d) 11:25
- 23.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
- 24.A clock shows 8:12. What time will it show 16 minutes later? (a) 8:38 (b) 9:28 (c) 8:28 (d) 8:18
- 25.A clock shows 8:48. What time will it show 75 minutes later? (a) 9:53 (b) 10:03 (c) 10:13 (d) 11:03
- 26.A clock shows 4:40. What time will it show 161 minutes later? (a) 7:21 (b) 7:31 (c) 7:11 (d) 8:21
- 27.How many degrees does the hour hand of a clock turn in 104 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 29.A clock shows 3:49. What time will it show 97 minutes later? (a) 5:16 (b) 5:36 (c) 6:26 (d) 5:26
- 30.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 32.A clock shows 3:51. What time will it show 32 minutes later? (a) 5:23 (b) 4:33 (c) 4:13 (d) 4:23
- 33.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 34.A clock shows 5:02. What time will it show 33 minutes later? (a) 6:35 (b) 5:45 (c) 5:35 (d) 5:25
- 35.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 36.A clock shows 7:18. What time will it show 54 minutes later? (a) 8:02 (b) 8:12 (c) 8:22 (d) 9:12
- 37.A clock shows 6:21. What time will it show 156 minutes later? (a) 8:47 (b) 9:07 (c) 8:57 (d) 9:57
- 38.A clock shows 6:30. What time will it show 26 minutes later? (a) 7:06 (b) 6:46 (c) 7:56 (d) 6:56
- 39.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
Answer key
- 16.5
- 4:27
- 1:10
- 36
- 60.5
- 117
- 33.5
- 5:27
- 109.5
- 19.5
- 31
- 171
- 25
- 72.5
- 3:52
- 5:33
- 5
- 2:02
- 9:04
- 120.5
- 160
- 11:25
- 125
- 8:28
- 10:03
- 7:21
- 52
- 87.5
- 5:26
- 17
- 102
- 4:23
- 114.5
- 5:35
- 192
- 8:12
- 8:57
- 6:56
- 126.5
- 121
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