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 10:00. What time will it show 139 minutes later? (a) 12:29 (b) 12:19 (c) 1:19 (d) 12:09
- 2.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 5.A clock shows 10:04. What time will it show 20 minutes later? (a) 10:24 (b) 10:14 (c) 10:34 (d) 11:24
- 6.A clock shows 1:52. What time will it show 169 minutes later? (a) 5:41 (b) 4:51 (c) 4:31 (d) 4:41
- 7.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 12.A clock shows 12:50. What time will it show 49 minutes later? (a) 1:39 (b) 1:29 (c) 2:39 (d) 1:49
- 13.A clock shows 3:15. What time will it show 30 minutes later? (a) 4:45 (b) 3:55 (c) 3:45 (d) 3:35
- 14.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 17.A clock shows 5:11. What time will it show 127 minutes later? (a) 7:08 (b) 7:18 (c) 8:18 (d) 7:28
- 18.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
- 19.A clock shows 3:47. What time will it show 46 minutes later? (a) 5:33 (b) 4:33 (c) 4:43 (d) 4:23
- 20.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
- 23.A clock shows 12:04. What time will it show 79 minutes later? (a) 2:23 (b) 1:33 (c) 1:13 (d) 1:23
- 24.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
- 27.A clock shows 12:21. What time will it show 19 minutes later? (a) 12:50 (b) 1:40 (c) 12:40 (d) 12:30
- 28.A clock shows 8:54. What time will it show 104 minutes later? (a) 10:48 (b) 10:28 (c) 10:38 (d) 11:38
- 29.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
- 33.A clock shows 3:37. What time will it show 62 minutes later? (a) 5:39 (b) 4:29 (c) 4:39 (d) 4:49
- 34.A clock shows 6:55. What time will it show 30 minutes later? (a) 7:35 (b) 7:25 (c) 8:25 (d) 7:15
- 35.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 36.A clock shows 4:20. What time will it show 114 minutes later? (a) 7:14 (b) 6:14 (c) 6:04 (d) 6:24
- 37.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
Answer key
- 12:19
- 58
- 152.5
- 300
- 10:24
- 4:41
- 67.5
- 21
- 137.5
- 342
- 49
- 1:39
- 3:45
- 103.5
- 12.5
- 138
- 7:18
- 9
- 4:33
- 64
- 39.5
- 171.5
- 1:23
- 176
- 264
- 93.5
- 12:40
- 10:38
- 35
- 9.5
- 25.5
- 132
- 4:39
- 7:25
- 228
- 6:14
- 174.5
- 19
- 148.5
- 96
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