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 6:05. What time will it show 126 minutes later? (a) 9:11 (b) 8:11 (c) 8:01 (d) 8:21
- 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 3.A clock shows 4:19. What time will it show 62 minutes later? (a) 5:11 (b) 5:21 (c) 6:21 (d) 5:31
- 4.A clock shows 9:14. What time will it show 155 minutes later? (a) 11:59 (b) 11:39 (c) 11:49 (d) 12:49
- 5.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 6.A clock shows 12:04. What time will it show 32 minutes later? (a) 12:36 (b) 12:26 (c) 1:36 (d) 12:46
- 7.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 10.A clock shows 9:43. What time will it show 22 minutes later? (a) 10:15 (b) 9:55 (c) 11:05 (d) 10:05
- 11.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 13.A clock shows 5:07. What time will it show 68 minutes later? (a) 6:25 (b) 7:15 (c) 6:15 (d) 6:05
- 14.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 19.A clock shows 10:09. What time will it show 102 minutes later? (a) 12:51 (b) 12:01 (c) 11:51 (d) 11:41
- 20.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
- 21.A clock shows 9:03. What time will it show 152 minutes later? (a) 11:25 (b) 11:35 (c) 12:35 (d) 11:45
- 22.A clock shows 6:18. What time will it show 79 minutes later? (a) 8:37 (b) 7:47 (c) 7:37 (d) 7:27
- 23.A clock shows 9:48. What time will it show 58 minutes later? (a) 10:56 (b) 10:46 (c) 11:46 (d) 10:36
- 24.A clock shows 4:10. What time will it show 131 minutes later? (a) 7:21 (b) 6:21 (c) 6:11 (d) 6:31
- 25.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 28.A clock shows 3:09. What time will it show 103 minutes later? (a) 5:52 (b) 5:02 (c) 4:52 (d) 4:42
- 29.A clock shows 2:01. What time will it show 22 minutes later? (a) 2:33 (b) 2:13 (c) 3:23 (d) 2:23
- 30.A clock shows 5:01. What time will it show 51 minutes later? (a) 5:42 (b) 6:02 (c) 5:52 (d) 6:52
- 31.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
- 37.A clock shows 10:52. What time will it show 42 minutes later? (a) 12:34 (b) 11:34 (c) 11:44 (d) 11:24
- 38.A clock shows 6:19. What time will it show 152 minutes later? (a) 9:51 (b) 9:01 (c) 8:51 (d) 8:41
- 39.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
Answer key
- 8:11
- 54
- 5:21
- 11:49
- 19.5
- 12:36
- 138.5
- 288
- 168
- 10:05
- 45
- 31
- 6:15
- 14
- 66
- 180
- 64
- 114
- 11:51
- 50
- 11:35
- 7:37
- 10:46
- 6:21
- 330
- 103.5
- 43
- 4:52
- 2:23
- 5:52
- 22
- 336
- 13.5
- 142
- 90
- 111.5
- 11:34
- 8:51
- 178
- 160.5
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