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 4:12. What time will it show 76 minutes later? (a) 5:18 (b) 5:38 (c) 6:28 (d) 5:28
- 2.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 5.A clock shows 6:43. What time will it show 38 minutes later? (a) 7:31 (b) 7:11 (c) 7:21 (d) 8:21
- 6.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 10.A clock shows 1:56. What time will it show 70 minutes later? (a) 4:06 (b) 2:56 (c) 3:16 (d) 3:06
- 11.A clock shows 7:04. What time will it show 135 minutes later? (a) 10:19 (b) 9:09 (c) 9:19 (d) 9:29
- 12.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
- 13.A clock shows 11:05. What time will it show 15 minutes later? (a) 11:10 (b) 11:20 (c) 11:30 (d) 12:20
- 14.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
- 20.A clock shows 5:37. What time will it show 71 minutes later? (a) 6:38 (b) 6:58 (c) 7:48 (d) 6:48
- 21.How many degrees does the hour hand of a clock turn in 148 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 146 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 24.A clock shows 7:12. What time will it show 93 minutes later? (a) 8:55 (b) 8:35 (c) 9:45 (d) 8:45
- 25.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 28 minutes? =
- 30.A clock shows 3:16. What time will it show 88 minutes later? (a) 4:44 (b) 4:54 (c) 4:34 (d) 5:44
- 31.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
- 32.A clock shows 9:14. What time will it show 56 minutes later? (a) 10:20 (b) 11:10 (c) 10:00 (d) 10:10
- 33.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
- 34.A clock shows 4:33. What time will it show 20 minutes later? (a) 4:53 (b) 4:43 (c) 5:53 (d) 5:03
- 35.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 39.A clock shows 7:54. What time will it show 108 minutes later? (a) 10:42 (b) 9:32 (c) 9:42 (d) 9:52
- 40.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
Answer key
- 5:28
- 91
- 24
- 48
- 7:21
- 80
- 36
- 32.5
- 252
- 3:06
- 9:19
- 118
- 11:20
- 151
- 28
- 149.5
- 134
- 53.5
- 99.5
- 6:48
- 74
- 73
- 246
- 8:45
- 61.5
- 94
- 81.5
- 32
- 14
- 4:44
- 67.5
- 10:10
- 96
- 4:53
- 16
- 48
- 89.5
- 17
- 9:42
- 32
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