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 8:14. What time will it show 90 minutes later? (a) 9:44 (b) 9:34 (c) 10:44 (d) 9:54
- 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 3.A clock shows 2:30. What time will it show 26 minutes later? (a) 2:46 (b) 3:06 (c) 2:56 (d) 3:56
- 4.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 6.A clock shows 9:12. What time will it show 80 minutes later? (a) 10:42 (b) 11:32 (c) 10:22 (d) 10:32
- 7.A clock shows 4:27. What time will it show 142 minutes later? (a) 6:39 (b) 6:59 (c) 7:49 (d) 6:49
- 8.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 12.A clock shows 12:39. What time will it show 43 minutes later? (a) 2:22 (b) 1:22 (c) 1:32 (d) 1:12
- 13.A clock shows 6:34. What time will it show 168 minutes later? (a) 9:12 (b) 10:22 (c) 9:22 (d) 9:32
- 14.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 120 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 18.A clock shows 12:51. What time will it show 114 minutes later? (a) 2:35 (b) 2:45 (c) 2:55 (d) 3:45
- 19.A clock shows 5:20. What time will it show 143 minutes later? (a) 8:43 (b) 7:33 (c) 7:53 (d) 7:43
- 20.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 21.A clock shows 9:12. What time will it show 21 minutes later? (a) 9:23 (b) 9:43 (c) 10:33 (d) 9:33
- 22.A clock shows 7:07. What time will it show 139 minutes later? (a) 9:16 (b) 10:26 (c) 9:26 (d) 9:36
- 23.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 24.A clock shows 1:59. What time will it show 19 minutes later? (a) 2:08 (b) 2:18 (c) 2:28 (d) 3:18
- 25.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 60 minutes? =
- 31.A clock shows 1:48. What time will it show 135 minutes later? (a) 5:03 (b) 4:03 (c) 3:53 (d) 4:13
- 32.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
- 33.A clock shows 12:08. What time will it show 39 minutes later? (a) 12:57 (b) 12:37 (c) 12:47 (d) 1:47
- 34.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
- 36.A clock shows 12:17. What time will it show 84 minutes later? (a) 1:31 (b) 1:41 (c) 1:51 (d) 2:41
- 37.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
- 39.A clock shows 10:04. What time will it show 74 minutes later? (a) 11:18 (b) 12:18 (c) 11:08 (d) 11:28
- 40.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
Answer key
- 9:44
- 12
- 2:56
- 148.5
- 43
- 10:32
- 6:49
- 25
- 38.5
- 83
- 198
- 1:22
- 9:22
- 160
- 70.5
- 60
- 77
- 2:45
- 7:43
- 127
- 9:33
- 9:26
- 43.5
- 2:18
- 44.5
- 141.5
- 93
- 99
- 127.5
- 30
- 4:03
- 86
- 12:47
- 54.5
- 107
- 1:41
- 204
- 59.5
- 11:18
- 138
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