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 minute hand of a clock turn in 34 minutes? =
- 2.A clock shows 12:57. What time will it show 78 minutes later? (a) 2:05 (b) 3:15 (c) 2:15 (d) 2:25
- 3.A clock shows 1:01. What time will it show 154 minutes later? (a) 3:25 (b) 3:45 (c) 4:35 (d) 3:35
- 4.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
- 8.A clock shows 5:28. What time will it show 125 minutes later? (a) 7:43 (b) 7:23 (c) 8:33 (d) 7:33
- 9.A clock shows 10:53. What time will it show 123 minutes later? (a) 1:06 (b) 1:56 (c) 12:46 (d) 12:56
- 10.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
- 12.A clock shows 5:56. What time will it show 156 minutes later? (a) 9:32 (b) 8:22 (c) 8:42 (d) 8:32
- 13.A clock shows 1:55. What time will it show 118 minutes later? (a) 4:53 (b) 3:53 (c) 4:03 (d) 3:43
- 14.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
- 15.A clock shows 8:23. What time will it show 164 minutes later? (a) 10:57 (b) 11:17 (c) 11:07 (d) 12:07
- 16.A clock shows 10:09. What time will it show 70 minutes later? (a) 11:29 (b) 11:19 (c) 11:09 (d) 12:19
- 17.A clock shows 7:01. What time will it show 130 minutes later? (a) 10:11 (b) 9:11 (c) 9:01 (d) 9:21
- 18.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 19.A clock shows 5:01. What time will it show 164 minutes later? (a) 7:55 (b) 8:45 (c) 7:45 (d) 7:35
- 20.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 22.A clock shows 3:53. What time will it show 96 minutes later? (a) 6:29 (b) 5:19 (c) 5:39 (d) 5:29
- 23.A clock shows 4:29. What time will it show 98 minutes later? (a) 5:57 (b) 6:07 (c) 7:07 (d) 6:17
- 24.A clock shows 9:43. What time will it show 156 minutes later? (a) 12:29 (b) 12:09 (c) 1:19 (d) 12:19
- 25.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 26.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 27.A clock shows 6:39. What time will it show 144 minutes later? (a) 9:03 (b) 9:13 (c) 10:03 (d) 8:53
- 28.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 30.A clock shows 3:02. What time will it show 129 minutes later? (a) 5:01 (b) 6:11 (c) 5:11 (d) 5:21
- 31.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 33.A clock shows 8:35. What time will it show 36 minutes later? (a) 9:21 (b) 10:11 (c) 9:01 (d) 9:11
- 34.A clock shows 3:07. What time will it show 136 minutes later? (a) 5:33 (b) 5:23 (c) 5:13 (d) 6:23
- 35.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 38.A clock shows 7:19. What time will it show 18 minutes later? (a) 7:27 (b) 7:37 (c) 8:37 (d) 7:47
- 39.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
Answer key
- 204
- 2:15
- 3:35
- 171.5
- 38
- 49
- 1.5
- 7:33
- 12:56
- 80.5
- 104
- 8:32
- 3:53
- 149
- 11:07
- 11:19
- 9:11
- 18
- 7:45
- 15
- 14.5
- 5:29
- 6:07
- 12:19
- 252
- 37
- 9:03
- 60
- 75
- 5:11
- 60.5
- 134
- 9:11
- 5:23
- 10.5
- 16
- 90
- 7:37
- 24
- 55.5
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