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 3:13. What time will it show 69 minutes later? (a) 4:22 (b) 4:32 (c) 5:22 (d) 4:12
- 2.A clock shows 1:08. What time will it show 53 minutes later? (a) 1:51 (b) 2:11 (c) 2:01 (d) 3:01
- 3.How many degrees does the hour hand of a clock turn in 83 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
- 6.A clock shows 9:30. What time will it show 161 minutes later? (a) 12:11 (b) 1:11 (c) 12:01 (d) 12:21
- 7.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 8.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 9.A clock shows 11:53. What time will it show 101 minutes later? (a) 1:34 (b) 2:34 (c) 1:44 (d) 1:24
- 10.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
- 12.A clock shows 1:33. What time will it show 93 minutes later? (a) 2:56 (b) 3:06 (c) 3:16 (d) 4:06
- 13.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 110 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 21.A clock shows 10:13. What time will it show 24 minutes later? (a) 11:37 (b) 10:27 (c) 10:47 (d) 10:37
- 22.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
- 24.A clock shows 6:15. What time will it show 28 minutes later? (a) 6:33 (b) 6:43 (c) 6:53 (d) 7:43
- 25.A clock shows 5:09. What time will it show 134 minutes later? (a) 8:23 (b) 7:33 (c) 7:13 (d) 7:23
- 26.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 27.A clock shows 10:52. What time will it show 90 minutes later? (a) 12:32 (b) 12:12 (c) 1:22 (d) 12:22
- 28.A clock shows 7:10. What time will it show 98 minutes later? (a) 9:48 (b) 8:58 (c) 8:48 (d) 8:38
- 29.A clock shows 7:13. What time will it show 26 minutes later? (a) 8:39 (b) 7:39 (c) 7:29 (d) 7:49
- 30.A clock shows 4:55. What time will it show 94 minutes later? (a) 6:39 (b) 6:19 (c) 6:29 (d) 7:29
- 31.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 34.A clock shows 5:00. What time will it show 21 minutes later? (a) 5:31 (b) 6:21 (c) 5:11 (d) 5:21
- 35.A clock shows 11:47. What time will it show 72 minutes later? (a) 12:49 (b) 12:59 (c) 1:09 (d) 1:59
- 36.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
- 39.A clock shows 12:48. What time will it show 104 minutes later? (a) 2:32 (b) 2:42 (c) 3:32 (d) 2:22
- 40.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
Answer key
- 4:22
- 2:01
- 41.5
- 174
- 135.5
- 12:11
- 210
- 23
- 1:34
- 330
- 0
- 3:06
- 36.5
- 55
- 164.5
- 97
- 70.5
- 110
- 19
- 11
- 10:37
- 104.5
- 31.5
- 6:43
- 7:23
- 354
- 12:22
- 8:48
- 7:39
- 6:29
- 168
- 142
- 131.5
- 5:21
- 12:59
- 45.5
- 246
- 176
- 2:32
- 40
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