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 1:00? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
- 3.A clock shows 8:39. What time will it show 82 minutes later? (a) 10:11 (b) 10:01 (c) 9:51 (d) 11:01
- 4.A clock shows 2:02. What time will it show 37 minutes later? (a) 2:29 (b) 3:39 (c) 2:49 (d) 2:39
- 5.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 12.A clock shows 9:16. What time will it show 44 minutes later? (a) 11:00 (b) 9:50 (c) 10:00 (d) 10:10
- 13.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
- 14.A clock shows 2:58. What time will it show 83 minutes later? (a) 4:21 (b) 4:11 (c) 4:31 (d) 5:21
- 15.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 16.A clock shows 7:03. What time will it show 69 minutes later? (a) 8:22 (b) 9:12 (c) 8:12 (d) 8:02
- 17.How many degrees does the hour hand of a clock turn in 49 minutes? =
- 18.A clock shows 1:34. What time will it show 118 minutes later? (a) 4:32 (b) 3:32 (c) 3:42 (d) 3:22
- 19.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 22.A clock shows 12:08. What time will it show 94 minutes later? (a) 1:52 (b) 2:42 (c) 1:32 (d) 1:42
- 23.A clock shows 9:05. What time will it show 47 minutes later? (a) 10:02 (b) 10:52 (c) 9:52 (d) 9:42
- 24.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 30.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 31.A clock shows 10:21. What time will it show 13 minutes later? (a) 11:34 (b) 10:44 (c) 10:34 (d) 10:24
- 32.A clock shows 4:33. What time will it show 162 minutes later? (a) 7:05 (b) 8:15 (c) 7:15 (d) 7:25
- 33.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 34.A clock shows 2:15. What time will it show 16 minutes later? (a) 2:41 (b) 2:21 (c) 2:31 (d) 3:31
- 35.A clock shows 9:04. What time will it show 108 minutes later? (a) 10:42 (b) 10:52 (c) 11:52 (d) 11:02
- 36.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 104 minutes? =
- 39.A clock shows 10:16. What time will it show 149 minutes later? (a) 12:45 (b) 12:35 (c) 12:55 (d) 1:45
- 40.A clock shows 3:14. What time will it show 64 minutes later? (a) 5:18 (b) 4:08 (c) 4:18 (d) 4:28
Answer key
- 30
- 88
- 10:01
- 2:39
- 300
- 163.5
- 34.5
- 42
- 132
- 127
- 27.5
- 10:00
- 2.5
- 4:21
- 354
- 8:12
- 24.5
- 3:32
- 101
- 234
- 46.5
- 1:42
- 9:52
- 30
- 288
- 125.5
- 94
- 81.5
- 12
- 25.5
- 10:34
- 7:15
- 162
- 2:31
- 10:52
- 56
- 25
- 52
- 12:45
- 4:18
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