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.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 2.A clock shows 11:37. What time will it show 81 minutes later? (a) 1:08 (b) 1:58 (c) 12:48 (d) 12:58
- 3.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 101 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 146 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 7.A clock shows 8:36. What time will it show 46 minutes later? (a) 9:32 (b) 9:22 (c) 10:22 (d) 9:12
- 8.A clock shows 5:57. What time will it show 129 minutes later? (a) 8:06 (b) 9:06 (c) 8:16 (d) 7:56
- 9.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 81 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 14.A clock shows 4:10. What time will it show 63 minutes later? (a) 5:23 (b) 5:03 (c) 6:13 (d) 5:13
- 15.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 16.A clock shows 4:22. What time will it show 44 minutes later? (a) 4:56 (b) 6:06 (c) 5:16 (d) 5:06
- 17.A clock shows 7:27. What time will it show 96 minutes later? (a) 10:03 (b) 8:53 (c) 9:03 (d) 9:13
- 18.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 19.A clock shows 1:36. What time will it show 130 minutes later? (a) 4:46 (b) 3:56 (c) 3:46 (d) 3:36
- 20.A clock shows 11:23. What time will it show 83 minutes later? (a) 12:36 (b) 12:46 (c) 1:46 (d) 12:56
- 21.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
- 29.A clock shows 8:32. What time will it show 161 minutes later? (a) 12:13 (b) 11:23 (c) 11:13 (d) 11:03
- 30.A clock shows 3:00. What time will it show 61 minutes later? (a) 3:51 (b) 4:11 (c) 5:01 (d) 4:01
- 31.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 32.A clock shows 9:04. What time will it show 108 minutes later? (a) 11:52 (b) 10:42 (c) 11:02 (d) 10:52
- 33.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 35.A clock shows 10:21. What time will it show 155 minutes later? (a) 12:56 (b) 12:46 (c) 1:56 (d) 1:06
- 36.A clock shows 4:07. What time will it show 95 minutes later? (a) 5:42 (b) 6:42 (c) 5:52 (d) 5:32
- 37.A clock shows 9:04. What time will it show 111 minutes later? (a) 10:45 (b) 11:55 (c) 11:05 (d) 10:55
- 38.How many degrees does the hour hand of a clock turn in 177 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
Answer key
- 270
- 12:58
- 89.5
- 50.5
- 73
- 216
- 9:22
- 8:06
- 49
- 41
- 40.5
- 43
- 57
- 5:13
- 246
- 5:06
- 9:03
- 177
- 3:46
- 12:46
- 90
- 84
- 48
- 14
- 19
- 174
- 16
- 173
- 11:13
- 4:01
- 318
- 10:52
- 47
- 18.5
- 12:56
- 5:42
- 10:55
- 88.5
- 40
- 108.5
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