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 11:25. What time will it show 34 minutes later? (a) 11:49 (b) 12:59 (c) 12:09 (d) 11:59
- 2.A clock shows 12:21. What time will it show 70 minutes later? (a) 1:21 (b) 1:31 (c) 2:31 (d) 1:41
- 3.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 4.A clock shows 11:41. What time will it show 143 minutes later? (a) 2:14 (b) 1:54 (c) 3:04 (d) 2:04
- 5.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 6.A clock shows 2:57. What time will it show 61 minutes later? (a) 4:08 (b) 4:58 (c) 3:58 (d) 3:48
- 7.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
- 10.A clock shows 3:07. What time will it show 146 minutes later? (a) 5:43 (b) 6:33 (c) 5:33 (d) 5:23
- 11.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 15.A clock shows 8:33. What time will it show 60 minutes later? (a) 9:33 (b) 9:43 (c) 10:33 (d) 9:23
- 16.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 21.A clock shows 3:01. What time will it show 37 minutes later? (a) 4:38 (b) 3:38 (c) 3:28 (d) 3:48
- 22.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
- 23.A clock shows 2:15. What time will it show 61 minutes later? (a) 3:26 (b) 3:06 (c) 3:16 (d) 4:16
- 24.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 27.A clock shows 11:23. What time will it show 113 minutes later? (a) 1:06 (b) 1:16 (c) 2:16 (d) 1:26
- 28.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
- 31.A clock shows 8:01. What time will it show 150 minutes later? (a) 10:21 (b) 10:41 (c) 11:31 (d) 10:31
- 32.A clock shows 2:08. What time will it show 166 minutes later? (a) 5:54 (b) 4:44 (c) 5:04 (d) 4:54
- 33.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
- 36.A clock shows 10:28. What time will it show 131 minutes later? (a) 12:29 (b) 12:49 (c) 12:39 (d) 1:39
- 37.A clock shows 10:29. What time will it show 99 minutes later? (a) 12:08 (b) 1:08 (c) 11:58 (d) 12:18
- 38.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
- 39.A clock shows 12:53. What time will it show 17 minutes later? (a) 2:10 (b) 1:00 (c) 1:20 (d) 1:10
- 40.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
Answer key
- 11:59
- 1:31
- 59.5
- 2:04
- 48
- 3:58
- 88.5
- 18
- 120
- 5:33
- 178.5
- 50
- 20
- 43
- 9:33
- 12
- 20.5
- 175.5
- 60.5
- 348
- 3:38
- 7.5
- 3:16
- 138.5
- 80
- 128.5
- 1:16
- 46.5
- 156
- 12
- 10:31
- 4:54
- 168
- 89
- 112.5
- 12:39
- 12:08
- 6
- 1:10
- 142.5
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