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 8:58? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 5.A clock shows 3:38. What time will it show 49 minutes later? (a) 4:37 (b) 4:17 (c) 5:27 (d) 4:27
- 6.A clock shows 11:29. What time will it show 93 minutes later? (a) 1:12 (b) 12:52 (c) 2:02 (d) 1:02
- 7.A clock shows 12:46. What time will it show 118 minutes later? (a) 2:44 (b) 2:34 (c) 2:54 (d) 3:44
- 8.A clock shows 3:06. What time will it show 10 minutes later? (a) 3:16 (b) 3:06 (c) 3:26 (d) 4:16
- 9.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 11.A clock shows 12:21. What time will it show 71 minutes later? (a) 1:42 (b) 1:22 (c) 1:32 (d) 2:32
- 12.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 13.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 22.A clock shows 5:19. What time will it show 35 minutes later? (a) 6:04 (b) 6:54 (c) 5:54 (d) 5:44
- 23.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 26.A clock shows 10:26. What time will it show 132 minutes later? (a) 12:38 (b) 1:38 (c) 12:28 (d) 12:48
- 27.A clock shows 12:38. What time will it show 144 minutes later? (a) 3:02 (b) 4:02 (c) 2:52 (d) 3:12
- 28.A clock shows 6:33. What time will it show 48 minutes later? (a) 7:11 (b) 8:21 (c) 7:21 (d) 7:31
- 29.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
- 32.A clock shows 1:17. What time will it show 113 minutes later? (a) 3:20 (b) 4:10 (c) 3:10 (d) 3:00
- 33.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
- 36.A clock shows 6:03. What time will it show 15 minutes later? (a) 7:18 (b) 6:28 (c) 6:18 (d) 6:08
- 37.A clock shows 10:01. What time will it show 127 minutes later? (a) 12:08 (b) 11:58 (c) 1:08 (d) 12:18
- 38.How many degrees does the hour hand of a clock turn in 103 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
Answer key
- 79
- 19
- 134
- 132
- 4:27
- 1:02
- 2:44
- 3:16
- 128
- 342
- 1:32
- 84
- 180
- 166.5
- 132.5
- 7.5
- 169.5
- 135
- 26.5
- 162
- 84
- 5:54
- 73
- 52
- 42
- 12:38
- 3:02
- 7:21
- 35
- 111.5
- 83
- 3:10
- 46.5
- 24.5
- 6.5
- 6:18
- 12:08
- 51.5
- 29.5
- 112.5
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