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 hour hand of a clock turn in 97 minutes? =
- 2.A clock shows 9:40. What time will it show 140 minutes later? (a) 12:10 (b) 11:50 (c) 1:00 (d) 12:00
- 3.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
- 4.A clock shows 2:01. What time will it show 161 minutes later? (a) 4:42 (b) 4:32 (c) 5:42 (d) 4:52
- 5.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 72 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 43 minutes? =
- 8.A clock shows 4:39. What time will it show 170 minutes later? (a) 8:29 (b) 7:29 (c) 7:39 (d) 7:19
- 9.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 11.A clock shows 12:07. What time will it show 35 minutes later? (a) 12:42 (b) 1:42 (c) 12:52 (d) 12:32
- 12.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 13.A clock shows 2:00. What time will it show 39 minutes later? (a) 3:39 (b) 2:29 (c) 2:39 (d) 2:49
- 14.A clock shows 3:48. What time will it show 142 minutes later? (a) 6:00 (b) 6:20 (c) 7:10 (d) 6:10
- 15.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 20.A clock shows 2:42. What time will it show 41 minutes later? (a) 3:23 (b) 3:13 (c) 4:23 (d) 3:33
- 21.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 23.A clock shows 11:11. What time will it show 120 minutes later? (a) 2:11 (b) 1:21 (c) 1:01 (d) 1:11
- 24.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 26.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 27.A clock shows 4:45. What time will it show 133 minutes later? (a) 7:58 (b) 6:48 (c) 6:58 (d) 7:08
- 28.A clock shows 1:45. What time will it show 39 minutes later? (a) 2:14 (b) 2:24 (c) 3:24 (d) 2:34
- 29.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
- 32.A clock shows 1:04. What time will it show 23 minutes later? (a) 1:27 (b) 2:27 (c) 1:17 (d) 1:37
- 33.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
- 35.A clock shows 4:18. What time will it show 36 minutes later? (a) 4:54 (b) 4:44 (c) 5:04 (d) 5:54
- 36.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 28 minutes? =
- 38.A clock shows 7:46. What time will it show 69 minutes later? (a) 8:45 (b) 9:05 (c) 9:55 (d) 8:55
- 39.A clock shows 8:00. What time will it show 116 minutes later? (a) 10:56 (b) 10:06 (c) 9:56 (d) 9:46
- 40.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
Answer key
- 48.5
- 12:00
- 167
- 4:42
- 64.5
- 36
- 21.5
- 7:29
- 8
- 72
- 12:42
- 97
- 2:39
- 6:10
- 95.5
- 276
- 38
- 186
- 156
- 3:23
- 52.5
- 24
- 1:11
- 12.5
- 174
- 5
- 6:58
- 2:24
- 91.5
- 16
- 170.5
- 1:27
- 26.5
- 156.5
- 4:54
- 49.5
- 14
- 8:55
- 9:56
- 27
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