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 7:03. What time will it show 71 minutes later? (a) 8:14 (b) 8:04 (c) 8:24 (d) 9:14
- 2.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
- 3.A clock shows 12:30. What time will it show 12 minutes later? (a) 12:42 (b) 12:32 (c) 12:52 (d) 1:42
- 4.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
- 8.A clock shows 10:33. What time will it show 89 minutes later? (a) 11:52 (b) 12:12 (c) 12:02 (d) 1:02
- 9.A clock shows 2:21. What time will it show 65 minutes later? (a) 3:16 (b) 4:26 (c) 3:36 (d) 3:26
- 10.A clock shows 12:36. What time will it show 16 minutes later? (a) 1:02 (b) 12:42 (c) 1:52 (d) 12:52
- 11.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 13.A clock shows 3:32. What time will it show 63 minutes later? (a) 5:35 (b) 4:35 (c) 4:45 (d) 4:25
- 14.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 15.A clock shows 11:11. What time will it show 97 minutes later? (a) 1:48 (b) 12:58 (c) 12:38 (d) 12:48
- 16.How many degrees does the hour hand of a clock turn in 81 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
- 18.A clock shows 3:47. What time will it show 71 minutes later? (a) 4:58 (b) 5:58 (c) 4:48 (d) 5:08
- 19.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
- 20.A clock shows 11:07. What time will it show 14 minutes later? (a) 12:21 (b) 11:21 (c) 11:31 (d) 11:11
- 21.A clock shows 8:32. What time will it show 108 minutes later? (a) 11:20 (b) 10:10 (c) 10:20 (d) 10:30
- 22.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 138 minutes? =
- 26.A clock shows 10:02. What time will it show 48 minutes later? (a) 11:00 (b) 10:40 (c) 11:50 (d) 10:50
- 27.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 30.A clock shows 5:51. What time will it show 152 minutes later? (a) 9:23 (b) 8:13 (c) 8:23 (d) 8:33
- 31.A clock shows 2:18. What time will it show 37 minutes later? (a) 3:05 (b) 3:55 (c) 2:45 (d) 2:55
- 32.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 33.A clock shows 1:17. What time will it show 144 minutes later? (a) 3:51 (b) 4:41 (c) 3:31 (d) 3:41
- 34.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 144 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
Answer key
- 8:14
- 9
- 12:42
- 42
- 164
- 50.5
- 3.5
- 12:02
- 3:26
- 12:52
- 108
- 204
- 4:35
- 66
- 12:48
- 40.5
- 67.5
- 4:58
- 92
- 11:21
- 10:20
- 30.5
- 318
- 282
- 69
- 10:50
- 31
- 276
- 12
- 8:23
- 2:55
- 36
- 3:41
- 121.5
- 100.5
- 20
- 114
- 52.5
- 72
- 42.5
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