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 11:29? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 4.A clock shows 5:14. What time will it show 80 minutes later? (a) 6:44 (b) 6:24 (c) 7:34 (d) 6:34
- 5.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 6.A clock shows 6:58. What time will it show 146 minutes later? (a) 9:24 (b) 9:14 (c) 9:34 (d) 10:24
- 7.A clock shows 11:57. What time will it show 38 minutes later? (a) 12:45 (b) 12:25 (c) 1:35 (d) 12:35
- 8.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
- 9.A clock shows 5:46. What time will it show 119 minutes later? (a) 7:55 (b) 7:35 (c) 7:45 (d) 8:45
- 10.A clock shows 10:30. What time will it show 143 minutes later? (a) 1:53 (b) 12:43 (c) 1:03 (d) 12:53
- 11.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 17.A clock shows 12:37. What time will it show 22 minutes later? (a) 1:09 (b) 12:49 (c) 1:59 (d) 12:59
- 18.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 20.A clock shows 2:41. What time will it show 42 minutes later? (a) 3:33 (b) 3:23 (c) 3:13 (d) 4:23
- 21.A clock shows 11:36. What time will it show 124 minutes later? (a) 1:40 (b) 1:30 (c) 2:40 (d) 1:50
- 22.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
- 24.A clock shows 5:08. What time will it show 170 minutes later? (a) 7:48 (b) 7:58 (c) 8:08 (d) 8:58
- 25.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
- 32.A clock shows 5:24. What time will it show 137 minutes later? (a) 7:41 (b) 7:31 (c) 7:51 (d) 8:41
- 33.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 139 minutes? =
- 36.A clock shows 5:23. What time will it show 168 minutes later? (a) 8:01 (b) 9:11 (c) 8:11 (d) 8:21
- 37.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 37 minutes? =
Answer key
- 170.5
- 75
- 42
- 6:34
- 20.5
- 9:24
- 12:35
- 56.5
- 7:45
- 12:53
- 70
- 24
- 52.5
- 31.5
- 179.5
- 108
- 12:59
- 96
- 16.5
- 3:23
- 1:40
- 139.5
- 149.5
- 7:58
- 103
- 28
- 149
- 48.5
- 30
- 43
- 103
- 7:41
- 246
- 67
- 69.5
- 8:11
- 93.5
- 18
- 7.5
- 222
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