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.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 3.A clock shows 7:05. What time will it show 151 minutes later? (a) 9:26 (b) 9:46 (c) 9:36 (d) 10:36
- 4.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 83 minutes? =
- 6.A clock shows 2:44. What time will it show 100 minutes later? (a) 4:34 (b) 4:24 (c) 5:24 (d) 4:14
- 7.A clock shows 6:04. What time will it show 146 minutes later? (a) 8:30 (b) 8:40 (c) 9:30 (d) 8:20
- 8.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 10.A clock shows 3:58. What time will it show 123 minutes later? (a) 6:11 (b) 6:01 (c) 5:51 (d) 7:01
- 11.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 13.A clock shows 9:43. What time will it show 124 minutes later? (a) 11:47 (b) 11:37 (c) 12:47 (d) 11:57
- 14.A clock shows 8:26. What time will it show 165 minutes later? (a) 11:21 (b) 12:11 (c) 11:01 (d) 11:11
- 15.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
- 21.A clock shows 12:27. What time will it show 42 minutes later? (a) 1:19 (b) 1:09 (c) 2:09 (d) 12:59
- 22.A clock shows 12:14. What time will it show 133 minutes later? (a) 2:27 (b) 3:27 (c) 2:17 (d) 2:37
- 23.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 26.A clock shows 8:31. What time will it show 161 minutes later? (a) 11:22 (b) 12:12 (c) 11:02 (d) 11:12
- 27.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 29.A clock shows 3:09. What time will it show 21 minutes later? (a) 3:30 (b) 3:40 (c) 4:30 (d) 3:20
- 30.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
- 31.A clock shows 9:43. What time will it show 79 minutes later? (a) 11:12 (b) 10:52 (c) 11:02 (d) 12:02
- 32.A clock shows 9:42. What time will it show 79 minutes later? (a) 12:01 (b) 11:01 (c) 11:11 (d) 10:51
- 33.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
- 38.A clock shows 10:25. What time will it show 56 minutes later? (a) 11:31 (b) 11:21 (c) 12:21 (d) 11:11
- 39.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 50 minutes? =
Answer key
- 20
- 87.5
- 9:36
- 80
- 41.5
- 4:24
- 8:30
- 32
- 216
- 6:01
- 108.5
- 204
- 11:47
- 11:11
- 139.5
- 81.5
- 125.5
- 90
- 27.5
- 42
- 1:09
- 2:27
- 76.5
- 26
- 6
- 11:12
- 10.5
- 15.5
- 3:30
- 38
- 11:02
- 11:01
- 164.5
- 150
- 168
- 110.5
- 104.5
- 11:21
- 102
- 300
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