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 8:06. What time will it show 29 minutes later? (a) 8:45 (b) 8:25 (c) 8:35 (d) 9:35
- 2.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
- 3.A clock shows 5:15. What time will it show 166 minutes later? (a) 8:11 (b) 7:51 (c) 9:01 (d) 8:01
- 4.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 5.A clock shows 2:49. What time will it show 127 minutes later? (a) 5:56 (b) 4:46 (c) 5:06 (d) 4:56
- 6.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 8.A clock shows 3:33. What time will it show 167 minutes later? (a) 6:10 (b) 6:20 (c) 6:30 (d) 7:20
- 9.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
- 11.A clock shows 4:43. What time will it show 73 minutes later? (a) 5:56 (b) 5:46 (c) 6:56 (d) 6:06
- 12.A clock shows 7:18. What time will it show 14 minutes later? (a) 8:32 (b) 7:22 (c) 7:42 (d) 7:32
- 13.A clock shows 4:04. What time will it show 26 minutes later? (a) 4:20 (b) 4:30 (c) 5:30 (d) 4:40
- 14.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
- 15.A clock shows 2:56. What time will it show 149 minutes later? (a) 5:15 (b) 6:25 (c) 5:35 (d) 5:25
- 16.A clock shows 8:07. What time will it show 22 minutes later? (a) 9:29 (b) 8:39 (c) 8:19 (d) 8:29
- 17.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
- 29.A clock shows 1:46. What time will it show 142 minutes later? (a) 4:08 (b) 3:58 (c) 5:08 (d) 4:18
- 30.A clock shows 4:43. What time will it show 71 minutes later? (a) 6:04 (b) 6:54 (c) 5:54 (d) 5:44
- 31.A clock shows 5:10. What time will it show 36 minutes later? (a) 6:46 (b) 5:36 (c) 5:56 (d) 5:46
- 32.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 111 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
- 38.A clock shows 12:12. What time will it show 121 minutes later? (a) 3:13 (b) 2:03 (c) 2:23 (d) 2:13
- 39.A clock shows 2:08. What time will it show 160 minutes later? (a) 5:48 (b) 4:58 (c) 4:38 (d) 4:48
- 40.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
Answer key
- 8:35
- 107.5
- 8:01
- 16
- 4:56
- 19.5
- 76
- 6:20
- 306
- 30
- 5:56
- 7:32
- 4:30
- 46
- 5:25
- 8:29
- 30.5
- 77
- 152
- 162.5
- 75.5
- 90
- 33
- 3.5
- 228
- 48
- 51
- 6
- 4:08
- 5:54
- 5:46
- 276
- 37
- 65
- 179
- 55.5
- 78
- 2:13
- 4:48
- 54.5
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