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 7:00. What time will it show 19 minutes later? (a) 8:19 (b) 7:29 (c) 7:09 (d) 7:19
- 2.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 6.A clock shows 10:47. What time will it show 44 minutes later? (a) 11:41 (b) 11:31 (c) 11:21 (d) 12:31
- 7.A clock shows 3:18. What time will it show 152 minutes later? (a) 5:40 (b) 6:50 (c) 5:50 (d) 6:00
- 8.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
- 9.A clock shows 2:05. What time will it show 113 minutes later? (a) 4:08 (b) 3:58 (c) 4:58 (d) 3:48
- 10.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 11.A clock shows 2:10. What time will it show 19 minutes later? (a) 3:29 (b) 2:19 (c) 2:39 (d) 2:29
- 12.A clock shows 6:38. What time will it show 69 minutes later? (a) 7:37 (b) 7:57 (c) 8:47 (d) 7:47
- 13.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 17.A clock shows 8:28. What time will it show 44 minutes later? (a) 9:12 (b) 10:12 (c) 9:22 (d) 9:02
- 18.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
- 20.A clock shows 7:28. What time will it show 141 minutes later? (a) 9:39 (b) 10:49 (c) 9:59 (d) 9:49
- 21.A clock shows 11:56. What time will it show 81 minutes later? (a) 1:27 (b) 2:17 (c) 1:17 (d) 1:07
- 22.A clock shows 11:38. What time will it show 80 minutes later? (a) 1:08 (b) 12:48 (c) 1:58 (d) 12:58
- 23.A clock shows 12:02. What time will it show 83 minutes later? (a) 1:15 (b) 1:25 (c) 2:25 (d) 1:35
- 24.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
- 29.A clock shows 4:55. What time will it show 114 minutes later? (a) 6:39 (b) 6:59 (c) 6:49 (d) 7:49
- 30.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 32.A clock shows 11:06. What time will it show 76 minutes later? (a) 1:22 (b) 12:32 (c) 12:22 (d) 12:12
- 33.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 35.A clock shows 3:55. What time will it show 70 minutes later? (a) 6:05 (b) 4:55 (c) 5:15 (d) 5:05
- 36.A clock shows 5:13. What time will it show 149 minutes later? (a) 7:42 (b) 7:52 (c) 7:32 (d) 8:42
- 37.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 30 minutes? =
Answer key
- 7:19
- 55.5
- 42
- 102.5
- 31.5
- 11:31
- 5:50
- 102
- 3:58
- 116
- 2:29
- 7:47
- 0
- 123.5
- 20.5
- 79
- 9:12
- 119
- 153.5
- 9:49
- 1:17
- 12:58
- 1:25
- 10.5
- 159
- 2.5
- 21
- 44.5
- 6:49
- 60.5
- 216
- 12:22
- 114.5
- 150
- 5:05
- 7:42
- 86
- 342
- 54
- 15
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