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 7:26. What time will it show 113 minutes later? (a) 9:19 (b) 9:29 (c) 9:09 (d) 10:19
- 2.A clock shows 9:00. What time will it show 86 minutes later? (a) 11:26 (b) 10:36 (c) 10:26 (d) 10:16
- 3.A clock shows 8:11. What time will it show 154 minutes later? (a) 10:55 (b) 10:45 (c) 11:45 (d) 10:35
- 4.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 24 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 11.A clock shows 5:46. What time will it show 15 minutes later? (a) 6:11 (b) 5:51 (c) 6:01 (d) 7:01
- 12.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 23.A clock shows 10:07. What time will it show 102 minutes later? (a) 11:59 (b) 11:49 (c) 11:39 (d) 12:49
- 24.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
- 25.A clock shows 10:38. What time will it show 48 minutes later? (a) 11:36 (b) 11:16 (c) 12:26 (d) 11:26
- 26.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
- 32.A clock shows 2:19. What time will it show 167 minutes later? (a) 5:16 (b) 6:06 (c) 4:56 (d) 5:06
- 33.A clock shows 11:05. What time will it show 97 minutes later? (a) 1:42 (b) 12:32 (c) 12:42 (d) 12:52
- 34.A clock shows 7:48. What time will it show 96 minutes later? (a) 9:34 (b) 10:24 (c) 9:14 (d) 9:24
- 35.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 39.A clock shows 11:57. What time will it show 30 minutes later? (a) 12:37 (b) 1:27 (c) 12:17 (d) 12:27
- 40.A clock shows 4:02. What time will it show 116 minutes later? (a) 5:48 (b) 6:58 (c) 6:08 (d) 5:58
Answer key
- 9:19
- 10:26
- 10:45
- 162
- 300
- 12
- 142
- 66.5
- 9.5
- 134
- 6:01
- 13.5
- 63.5
- 99
- 174.5
- 178
- 30
- 13
- 70
- 113
- 120.5
- 216
- 11:49
- 56
- 11:26
- 66
- 77
- 60.5
- 246
- 122.5
- 23.5
- 5:06
- 12:42
- 9:24
- 105.5
- 174
- 1.5
- 318
- 12:27
- 5:58
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