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 12:36. What time will it show 42 minutes later? (a) 2:18 (b) 1:28 (c) 1:18 (d) 1:08
- 2.A clock shows 3:03. What time will it show 97 minutes later? (a) 4:50 (b) 4:30 (c) 5:40 (d) 4:40
- 3.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
- 4.A clock shows 6:14. What time will it show 105 minutes later? (a) 8:09 (b) 8:59 (c) 7:49 (d) 7:59
- 5.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
- 7.A clock shows 7:35. What time will it show 20 minutes later? (a) 8:05 (b) 8:55 (c) 7:55 (d) 7:45
- 8.A clock shows 9:53. What time will it show 157 minutes later? (a) 12:40 (b) 1:30 (c) 12:30 (d) 12:20
- 9.A clock shows 1:36. What time will it show 36 minutes later? (a) 2:02 (b) 2:22 (c) 2:12 (d) 3:12
- 10.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
- 14.A clock shows 1:06. What time will it show 134 minutes later? (a) 3:30 (b) 3:10 (c) 4:20 (d) 3:20
- 15.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 16.A clock shows 10:51. What time will it show 35 minutes later? (a) 11:26 (b) 11:36 (c) 12:26 (d) 11:16
- 17.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 18.A clock shows 8:46. What time will it show 112 minutes later? (a) 11:38 (b) 10:28 (c) 10:38 (d) 10:48
- 19.A clock shows 1:40. What time will it show 100 minutes later? (a) 4:20 (b) 3:10 (c) 3:20 (d) 3:30
- 20.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 24.A clock shows 11:25. What time will it show 89 minutes later? (a) 1:04 (b) 12:44 (c) 12:54 (d) 1:54
- 25.How many degrees does the hour hand of a clock turn in 117 minutes? =
- 26.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
- 31.A clock shows 7:14. What time will it show 159 minutes later? (a) 9:53 (b) 10:03 (c) 10:53 (d) 9:43
- 32.A clock shows 7:12. What time will it show 107 minutes later? (a) 9:09 (b) 8:59 (c) 8:49 (d) 9:59
- 33.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
- 34.A clock shows 6:31. What time will it show 46 minutes later? (a) 7:07 (b) 7:27 (c) 7:17 (d) 8:17
- 35.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 36.A clock shows 2:36. What time will it show 148 minutes later? (a) 4:54 (b) 5:14 (c) 6:04 (d) 5:04
- 37.A clock shows 1:59. What time will it show 61 minutes later? (a) 3:10 (b) 3:00 (c) 2:50 (d) 4:00
- 38.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 5 minutes? =
Answer key
- 1:18
- 4:40
- 108
- 7:59
- 54
- 1.5
- 7:55
- 12:30
- 2:12
- 25
- 58.5
- 162.5
- 27.5
- 3:20
- 33
- 11:26
- 4
- 10:38
- 3:20
- 300
- 330
- 48
- 210
- 12:54
- 58.5
- 28
- 23
- 77.5
- 161.5
- 164
- 9:53
- 8:59
- 48.5
- 7:17
- 192
- 5:04
- 3:00
- 105
- 139.5
- 30
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