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 8:45. What time will it show 128 minutes later? (a) 10:53 (b) 10:43 (c) 11:53 (d) 11:03
- 2.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 4.A clock shows 2:35. What time will it show 46 minutes later? (a) 3:11 (b) 3:31 (c) 3:21 (d) 4:21
- 5.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
- 6.A clock shows 6:33. What time will it show 121 minutes later? (a) 9:34 (b) 8:34 (c) 8:24 (d) 8:44
- 7.A clock shows 7:00. What time will it show 120 minutes later? (a) 9:00 (b) 8:50 (c) 10:00 (d) 9:10
- 8.A clock shows 8:23. What time will it show 38 minutes later? (a) 9:11 (b) 8:51 (c) 10:01 (d) 9:01
- 9.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 11.A clock shows 9:49. What time will it show 16 minutes later? (a) 9:55 (b) 11:05 (c) 10:15 (d) 10:05
- 12.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
- 13.A clock shows 6:40. What time will it show 146 minutes later? (a) 10:06 (b) 9:06 (c) 8:56 (d) 9:16
- 14.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 15.A clock shows 9:17. What time will it show 33 minutes later? (a) 9:40 (b) 9:50 (c) 10:00 (d) 10:50
- 16.A clock shows 2:22. What time will it show 125 minutes later? (a) 4:37 (b) 4:27 (c) 5:27 (d) 4:17
- 17.A clock shows 10:22. What time will it show 89 minutes later? (a) 12:01 (b) 12:51 (c) 11:41 (d) 11:51
- 18.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 22.A clock shows 10:15. What time will it show 30 minutes later? (a) 11:45 (b) 10:45 (c) 10:35 (d) 10:55
- 23.A clock shows 6:50. What time will it show 111 minutes later? (a) 8:31 (b) 9:41 (c) 8:41 (d) 8:51
- 24.A clock shows 8:33. What time will it show 145 minutes later? (a) 10:48 (b) 11:58 (c) 11:08 (d) 10:58
- 25.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 27.A clock shows 9:41. What time will it show 150 minutes later? (a) 12:01 (b) 1:11 (c) 12:21 (d) 12:11
- 28.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
- 29.A clock shows 1:31. What time will it show 135 minutes later? (a) 4:46 (b) 3:56 (c) 3:36 (d) 3:46
- 30.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
- 32.A clock shows 4:19. What time will it show 112 minutes later? (a) 6:01 (b) 6:11 (c) 7:11 (d) 6:21
- 33.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
Answer key
- 10:53
- 178.5
- 186
- 3:21
- 112
- 8:34
- 9:00
- 9:01
- 118
- 24
- 10:05
- 178
- 9:06
- 30
- 9:50
- 4:27
- 11:51
- 170.5
- 54.5
- 84
- 204
- 10:45
- 8:41
- 10:58
- 264
- 222
- 12:11
- 99
- 3:46
- 282
- 165.5
- 6:11
- 169.5
- 37.5
- 178
- 46
- 74
- 61.5
- 140
- 85
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